Quotes about angle
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“Nathan Baca: You are literally staying silent about the two wars that we're in right now.
Sharron Angle: You know, the two wars that we're in right now, is exactly what we're in.”

Sharron Angle (1949) Former member of the Nevada Assembly from 1999 to 2007

War

“Reza Shah had been a powerful leader only partly because of his position, and Mohammad-Reza was fully conscious of the fact that he had few of his father's natural assets. The new Shah had received a democratic training which meant that he knew that there were different views on every issue and that reality could be contemplated from many different angles: this made him hesitant and indecisive where his father had been determined and resolute. Mohammad-Reza wanted to be loved for his person: Reza Shah never knew what love was, asking only to be obeyed. The new Shah was polite and shy and anxious not to offend: the old Shah deliberately terrorised members of his entourage in order to keep them constantly on their guard. Reza Shah had been a born leader; the new Shah had to learn to become one.”

Amir Taheri (1942) Iranian journalist

The Unknown Life of the Shah (1991)

Love, Nature, Reality, Learning

“We not that those players with weaker arms might be better off throwing at a lower angle to get the ball to the plate on the bounce. If the surface is Astroturf, the 90-mph player can gain as much as 0.2 seconds, or 6 feet, on the runner by throwing on the bounce. But if his team is playing on grass and his groundskeeper has kept the grass long and well watered to help his team (which relies on singles, speed, and baserunning), the ball may lose so much speed at the bounce that nothing will be gained.”

Robert Adair (physicist) (1924) Physicist and author

Source: The Physics Of Baseball (Second Edition - Revised), Chapter 4, Running, Fielding, And Throwing, p. 61

Grass, Water, Help, Speed

“I will not, from henceforward, talk to any squarer of the circle, trisector of the angle, duplicator of the cube, constructor of perpetual motion, subverter of gravitation, stagnator of the earth, builder of the universe, etc.”

Augustus De Morgan (1806–1871) British mathematician, philosopher and university teacher (1806-1871)

Introductory p.9
A Budget of Paradoxes (1872)

Universe

“By June 1949 people had begun to realize that it was not so easy to get programs right as at one time appeared. I well remember when this realization first came on me with full force.
The EDSAC was on the top floor of the building and the tape-punching and editing equipment one floor below. […] It was on one of my journeys between the EDSAC room and the punching equipment that "hesitating at the angles of stairs" the realization came over me with full force that a good part of the remainder of my life was going to be spent in finding errors in my own programs.”

Maurice Wilkes (1913–2010) British computer scientist

Memoirs of a Computer Pioneer, MIT Press, 1985, p. 145. (The quoted phrase is from T. S. Eliot, Murder in the Cathedral.)

Life, People, Error, Appearance

“To understand society deeply is always to see the settled from the angle of the unsettled. The settled is the region or the moment where relationships become fixed and, through their fixity, take on a specious aura of necessity. The unsettled is the experience that discloses the perilous, uncertain, malleable quality of society. By seeing the settled unsettled or by looking toward the disturbances that take place in its vicinity, we begin to understand how the settled really works and what it really is.”

Roberto Mangabeira Unger (1947) Brazilian philosopher and politician

Source: Social Theoryː Its Situation and Its Task (1987), p. 65

Understanding

“Before, the wire studies were subjective, portraits, caricatures, stylized representations of beasts and humans. But these recent things have been viewed from a more objective angle and although their present size is diminutive, I feel that there is no limitation to the scale to which they can be enlarged... One of the canons of the futuristic painters, as propounded by Modigliani, was that objects behind other objects should not be lost to view, but should be shown through the others by making the latter transparent. The wire sculpture accomplishes this in a most decided manner.”

Alexander Calder (1898–1976) American artist

1920s, Statement on Wire Sculpture' (1929)

Feeling, Study

“It is indeed said that Edmund, king of the East Angles, was shot to death with arrows by the Danes; but, if this piece of history be correct, it is no proof that they used the bow as a weapon of war. The action itself might be nothing more than a wanton piece of cruelty; and cruelty seems to have been a prominent feature in the character of those lawless plunderers.”

Joseph Strutt (1749–1802) British engraver, artist, antiquary and writer

pg. 49
The Sports and Pastimes of the People of England (1801), Danes

Death, War, History

“In Hollywood, women hate each other. Everyone is so bitchy and they don't want younger actresses coming in and taking their roles. You only have to look at what it's done to Kate Beckinsale. She used be cool. Now I've heard she's got a clause in her contract saying that she can't be filmed bending over at more than a 45-degree angle because her boob implants slide up onto her collar bone.”

Sienna Guillory (1975) British actress

Sienna talks about Kate Beckinsale Article http://www.yee.ch/movies/K/KA/Kate_Beckinsale/Kate_Beckinsale.htm. yee.ch. 2004

Women, Hate

“Hitherto we have considered the apparent motion of the star about its true place, as made only in a plane parallel to the ecliptic, in which case it appears to describe a circle in that plane; but since, when we judge of the place and motion of a star, we conceive it to be in the surface of a sphere, whose centre is our eye, 'twill be necessary to reduce the motion in that plane to what it would really appear on the surface of such a sphere, or (which will be equivalent) to what it would appear on a plane touching such a sphere in the star's true place. Now in the present case, where we conceive the eye at an indefinite distance, this will be done by letting fall perpendiculars from each point of the circle on such a plane, which from the nature of the orthographic projection will form an ellipsis, whose greater axis will be equal to the diameter of that circle, and the lesser axis to the greater as the sine of the star's latitude to the radius, for this latter plane being perpendicular to a line drawn from the centre of the sphere through the star's true place, which line is inclined to the ecliptic in an angle equal to the star's latitude; the touching plane will be inclined to the plane of the ecliptic in an angle equal to the complement of the latitude. But it is a known proposition in the orthographic projection of the sphere, that any circle inclined to the plane of the projection, to which lines drawn from the eye, supposed at an infinite distance, are at right angles, is projected into an ellipsis, having its longer axis equal to its diameter, and its shorter to twice the cosine of the inclination to the plane of the projection, half the longer axis or diameter being the radius.
Such an ellipse will be formed in our present case…”

James Bradley (1693–1762) English astronomer; Astronomer Royal

Miscellaneous Works and Correspondence (1832), Demonstration of the Rules relating to the Apparent Motion of the Fixed Stars upon account of the Motion of Light.

Star, Nature, Appearance

“Euclid defines the angle as an inclination of lines…he meant halflines, because otherwise he would not be able to distinguish adjacent angles from each other… Euclid does not know zero angles, nor straight and bigger than straight angles…Euclid takes the liberty of adding angles beyond two and even four right angles; the result cannot be angles according to the original definitions…Nevertheless one feels that Euclid’s angle concept is consistent.”

Hans Freudenthal (1905–1990) Dutch mathematician

Source: Mathematics as an Educational Task (1973), p. 476-477

Feeling

“Fat' traverses the path from a chaotically dispersed, undirected energy form to a form. Then it appears in the famous fat corner.... now [a wedge of fat in the angle between seat and back of the wooden old Chair, Beuys used in the fat-sculpture, like 'Stuhl mit Fett' (Fet Chair), 1964] intersects the human body in the region that houses certain emotional forces”

Joseph Beuys (1921–1986) German visual artist

Beuys laughed, and so did everyone else of the public
In a public debate at the Kunstring (Artcircle) Folkwang in Essen, 1972; (Stachelhaus 1991, p. 71); as quoted in Joseph Beuys and the Celtic Wor(l)d: A Language of Healing, Victoria Walters, LIT Verlag Münster, 2012, p. 29
1970's

Appearance, Housing

“We are the beneficiaries of a life of surpassing service. Wise in wisdom and gentle in gentleness, freedom has many sides and angles. Human slavery has been swept away. With security of personal rights has come security of property rights. The freedom of the human mind is recognized in the right to free speech and free press. The public schools have made education possible for all and ignorance a disgrace. In political affairs, the vote of the humblest has long counted for as much as the vote of the most exalted. We are working towards the day when, in our industrial life, equal honor shall fall to equal endeavor.”

Calvin Coolidge (1872–1933) American politician, 30th president of the United States (in office from 1923 to 1929)

1920s, Duty of Government (1920)

Life, Wisdom, Education, School

“Here is one of the best bits of advice every given about the fine art of human relationships. "If there is any one secret of success," says Henry Ford, "it lies in the ability to get the other person’s point of view and see things from that person’s angle as well as from your own."”

Dale Carnegie How to Win Friends and Influence People

Source: How to Win Friends and Influence People (1936), p. 42 (in 2016 edition)

Secret, Art, Success, Personality

“In the year 1775, the Paris Academy found it necessary to protect its officials against the waste of time and energy involved in examining the efforts of circle squarers. It passed a resolution… that no more solutions were to be examined of the problem of the duplication of the cube, the trisection of the angle, the quadrature of the circle, and the same resolution should apply to machines for exhibiting perpetual motion. an account… drawn up by Condorcet… is appended. It is interesting to remark that the strength of the conviction of Mathematicians that the solution of the problem is impossible, more than a century before an irrefutable proof of the correctness of that conviction was discovered.”

E. W. Hobson (1856–1933) British mathematician

Source: Squaring the Circle (1913), pp. 3-4

Problem, Effort, Time

“We were still attached to the representational image. We cut into the form, the different angles from which it could be seen, the perspective. The object turned in our hands, we turned round it. We were tortured by this mystery of form.”

Albert Gleizes (1881–1953) French painter

after 1920, The Epic, From immobile form to mobile form (1925)

“Two signs of learned person are: acceptance of other people's criticism, and being knowledgeable about the angles and dimensions of rhetoric and debate.”

Husayn ibn Ali (626–680) The grandson of Muhammad and the son of Ali ibn Abi Talib

Ibn Shu’ba al-Harrani, Tuhaf al-'Uqul, p. 252
Regarding Wisdom

People, Knowledge, Learning, Personality

“He stood with his back angled to the wall. To an indifferent observer he was simply in idle conversation, but it wasn't like that at all. This was an instinctive gesture of survival, being in constant readiness for an attack. His head didn't turn and his eyes didn't seem to move, but I knew he saw us. I could feel the hackles on the back of my neck stiffening and I knew he felt the same way.
Dog was meeting dog. Nobody knew it but the dogs and they weren't telling.
He was bigger than I thought. The suggestion of power I had seen in his photographs was for real. When he moved it was with the ponderous grace of some jungle animal, dangerously deceptive, because he could move a lot faster if he had to.
When we were ten feet away he pretended to see us for the first time and a wave of charm washed the cautious expression from his face and he stepped out to greet Dulcie with outstretched hand.
But it wasn't her he was seeing. It was me he was watching. I was one of his own kind. I couldn't be faked out and wasn't leashed by the proprieties of society. I could lash out and kill as fast as he could and of all the people in the room, I was the potential threat. I knew what he felt because I felt the same way myself.”

Mickey Spillane book The Body Lovers

The Body Lovers (1967)

People, Dogs, Way, Feeling

“Rachel was looking into the mirror at an angle of 45°, and so had a view of the face turned toward the room and the face on the other side, reflected in the mirror; here were time and reverse-time, co-existing, cancelling one another exactly out. Were there many such reference points, scattered throughout the world, perhaps only at nodes like this room which housed a transient population of the imperfect, the dissatisfied; did real time plus virtual or mirror-time equal zero and thus serve some half-understood moral purpose? Or was it only the mirror world that counted; only a promise of a kind that the inward bow of a nose-bridge or a promontory of extra cartilage at the chin meant a reversal of ill fortune such that the world of the altered would thenceforth run on mirror-time; work and love by mirror-light and be only, till death stopped the heart's ticking (metronome's music) quietly as light ceases to vibrate, an imp's dance under the century's own chandeliers….”

Thomas Pynchon book V.

Source: V. (1963), Chapter Two, Part I

Love, Death, World, Music

“The so-called obvious was repeatedly scrutinized from every angle and was frequently found to be not obvious but false. "Obvious" is the most dangerous word in mathematics.”

Eric Temple Bell (1883–1960) mathematician and science fiction author born in Scotland who lived in the United States for most of his li…

Source: Mathematics: Queen and Servant of Science (1938), p. 16

Mathematics, Falseness

“Towns should be laid out not as an exact square nor with salient angles, but in circular form, to give a view of the enemy from many points. Defense is difficult where there are salient angles because the angle protects the enemy rather than the inhabitants.”

Vitruvius book De architectura

Source: De architectura (The Ten Books On Architecture) (~ 15BC), Book I, Chapter V, Sec. 2

“The measurement of the angles was made by Mr. J. E. Hilgard, whose zeal and the ability with which he has discharged these duties deserve notice here, as they have received it in the reports of the chief of his party.”

Julius Erasmus Hilgard (1825–1890) United States engineer

Biographical Memoirs, Volume 3, p.33, 1895.

“The refraction of light agrees with the grand principle that Nature always uses the simplest means to accomplish its effects. From this principle, can be derived whenever light passes from one medium to another, the ratio of the sine of the angle of refraction to the sine of the angle of refraction equals the inverse ratio of the speeds at which light moves in each medium.
But this "budget", this expense of action that Nature minimizes in the refraction of light, is it also minimized in the direct propagation and reflection of light? Yes, it always has the smallest possible value.”

Pierre Louis Maupertuis (1698–1759) French mathematician, philosopher and man of letters

Accord de différentes loix de la nature qui avoient jusqu’ici paru incompatibles (1744)

Nature, Light, Speed

“The Nefertiti bust is one of the most popular art works in the world. It is printed on scarves and molded in necklace pendants and coffee-table miniatures. But never in my experience is the bust exactly reproduced. The copyist softens it, feminizes it and humanizes it. The actual bust is intolerably severe. It is too uncanny an object for domestic display. Even art books lie. The bust is usually posed in profile or at an angle, so that the missing left pupil is hidden or shadowed. What happened to the eye?”

Camille Paglia (1947) American writer

Source: Sexual Personae: Art and Decadence from Nefertiti to Emily Dickinson (1990), p. 67

Lie, Books, World, Art

“This subject of Planning in the economic sphere is discussed in a separate paper. We will here deal only with the spiritual angle.”

Peter de Noronha (1897–1970) Indian businessman

The Pageant of Life (1964), On Planning for a Better World

“As lines, so loves oblique may well
Themselves in every angle greet;
But ours so truly parallel,
Though infinite, can never meet.”

Andrew Marvell (1621–1678) English metaphysical poet and politician

Stanza 7.
The Definition of Love (1650-1652)

Love

“Cybernetics was defined by Wiener as “the science of control and communication, in the animal and the machine” — in a word, as the art of steermanship, and it is to this aspect that the book will be addressed. Co-ordination, regulation and control will be its themes, for these are of the greatest biological and practical interest.
We must, therefore, make a study of mechanism; but some introduction is advisable, for cybernetics treats the subject from a new, and therefore unusual, angle… The new point of view should be clearly understood, for any unconscious vacillation between the old and the new is apt to lead to confusion.”

W. Ross Ashby (1903–1972) British psychiatrist

Source: An Introduction to Cybernetics (1956), Part I: Mechanism, p. 1: Lead paragraph

Books, Art, Communication, Study

“Kick is seeing things from a special angle. Kick is momentary freedom from the claims of the aging, cautious, nagging, frightened flesh. Maybe I will find in yage what I was looking for in junk and weed and coke.”

William S. Burroughs book Junkie

Junkie (1953)

Age, Freedom

“If out of reading this book you get just one thing—an increased tendency to think always in terms of other people’s point of view, and see things from their angle—if you get that one thing out of this book, it may easily prove to be one of the building blocks of your career.”

Dale Carnegie How to Win Friends and Influence People

Source: How to Win Friends and Influence People (1936), p. 63

People, Books, Thinking, Reading

“Jon Ralston: How would you have voted on that bill to extend unemployment benefits?
Sharron Angle: I would have voted no, because the truth about it is that they keep extending these unemployment benefits to the point where people are afraid to go out and get a job because the job doesn't pay as much as the unemployment benefit does.”

Sharron Angle (1949) Former member of the Nevada Assembly from 1999 to 2007

People, Truth

“As actors, we need public relations to campaign for our next possible role, and any media promoting our work seems positive in nature; but whether in theater or on a film set, a bad unprofessional photograph at the wrong angle may not be as flattering to some actors, and may be considered a harmful exposure.”

Carson Grant (1950) American actor

Ernest Dempsey, "Camera Shy?", Digital Journal: Arts, Jan 10, 2011, p. 1
Pointing to the negative publicity factor with unsolicited photographs, article printed in Digital Journal 2011.

Nature

“Forget the financial angle and consider rather which is the best outlet for the greatest contribution you can make towards making the world a better place in which to live. Efforts should never be expended purely for mercenary reasons. Pecuniary gains should come as a result of the entity's using his abilities in the direction of being helpful.”

Edgar Cayce (1877–1945) Purported clairvoyant healer and psychic

Many Mansions Chapter 20 - A Philosophy of Vocational Choice
Cayce answered this in reply to a gifted 13 year old boy's question Which of my aptitudes should I follow for the greatest success in adult life, financially?
On Vocational Choices

World, Effort, Help, Forgetting

“There seemed no face within the cowl, only a black emptiness, and the notion sprang irresistibly to Dietrich’s mind that this was Death, now these dozen years overdue, treading a weary mountain trail in search of him. Then a flash of white showed within the shadow and Dietrich realized that it was only the angle of the sun that had made that hood seem so empty.”

Michael Flynn book Eifelheim

Source: Eifelheim (2006), Chapter XVIII (p. 323)

Death, Search, Mountain, Sun

“These changes are part of what keeps me interested and excited. Life won't let me keep coming at it from the same angle.”

Yanni (1954) Greek pianist, keyboardist, composer, and music producer

Yanni in Words. Miramax Books. Co-author David Rensin

Life, Change, Parting

“Heisenberg now approached the problem from a new philosophical angle. He discarded all models, pictures and parables, and made a clear distinction between sure knowledge we gain from observation of nature and the conjectural knowledge we introduce when we use models, pictures and parables. Sure knowledge… can only be numerical, so that Heisenberg's results were inevitably mathematical in form, and could not disclose anything about the true nature of physical properties or entities.”

James Jeans (1877–1946) British mathematician and astronomer

Physics and Philosophy (1942)

Mathematics, Nature, Knowledge, Problem

“The tempest unleashes an alphabet
letters fall through the apertures of crazy angles
to spell out the future
uprooting the course of invention
and enslaving the masters”

Nancy Peters (1936) American writer and publisher

It's In the Wind (1977) "Ceremonies In A Polar Garden"
1970s

Future

“One of his hobbies was to wait for the American Shakespeare — a hobby more patient than angling.”

G. K. Chesterton (1874–1936) English mystery novelist and Christian apologist

'The Innocence of Father Brown (1911) The Secret Garden
The Father Brown Mystery Series (1910 - 1927)

Waiting

“Before a man can successfully plan a structure… he must study, from every possible angle, the ultimate purpose of his building. Attention must be directed to the basic structural concept before the mathematical process of calculation is undertaken.”

Eduardo Torroja (1899–1961) Spanish architect

p, 125
Philosophy of Structures (1958)

Mathematics, Study

“By the time of Hippocrates of Chios the scope of Greek geometry was no longer even limited to the Elements; certain special problems were also attacked which were beyond the power of the geometry of the straight line and circle, and which were destined to play a great part in determining the direction taken by Greek geometry in its highest flights. The main problems in question were three: (1) the doubling of the cube, (2) the trisection of any angle, (3) the squaring of the circle; and from the time of Hippocrates onwards the investigation of these problems proceeded pari passu with the completion of the body of the Elements.”

Thomas Little Heath (1861–1940) British civil servant and academic

p, 125
Achimedes (1920)

Question, Problem, Time, Parting

“Angles are measured by arcs, such that 360° and 2π correspond to each other.”

Hans Freudenthal (1905–1990) Dutch mathematician

Source: Mathematics as an Educational Task (1973), p. 477

“The mysterious universe cannot be explained from one angle alone; instead it requires multiple paradigms including Newtonian physics, Einstein’s Theory of Relativity, and Quantum Mechanics.”

Newton Lee American computer scientist

Google It: Total Information Awareness, 2016

Universe

“The contrast between man's ideological capacity to move at random through material and metaphysical spaces and his physical limitations, is Uneven lengths and uneven angle-degrees of the point-rudder result in a deviating course. the origin of all human tragedy. It is this contrast between power and prostration that implies the duality of human existence. Half winged-half imprisoned, this is man!”

Paul Klee (1879–1940) German Swiss painter

IIII.37, The Arrow. p. 54
1921 - 1930, Pedagogical Sketch Book, (1925)

“Gareth Morgan is best known as the creator of the concept of 'organisational metaphors' as a management tool. His greatest insight has been to determine that, while there is no one model of organisation that can entirely capture the essence of organisation, it is possible by means of metaphors to look at organisations from different angles and see different facets”

Morgen Witzel (1960) Canadian historian, business theorist

Source: Fifty key figures in management, 2004, p. 232

“During the ’thirties the danger of being a marginal worker became increased by social legislation intended to improve conditions on the labor market. The dilemma, as viewed from the Negro angle is this: on the one hand, Negroes constitute a disproportionately large number of the workers in the nation who work under imperfect safety rules, in unclean and unhealthy shops, for long hours, and for sweatshop wages; on the other hand, it has largely been the availability of such jobs which has given Negroes any employment at all. As exploitative working conditions are gradually being abolished, this, of course, must benefit Negro workers most, as they have been exploited most—but only if they are allowed to keep their employment. But it has mainly been their willingness to accept low labor standards which has been their protection. When government steps in to regulate labor conditions and to enforce minimum standards, it takes away nearly all that is left of the old labor monopoly in the “Negro jobs.”
As low wages and sub-standard labor conditions are most prevalent in the South, this danger is mainly restricted to Negro labor in that region. When the jobs are made better, the employer becomes less eager to hire Negroes, and white workers become more eager to take the jobs from the Negroes.”

Gunnar Myrdal book An American Dilemma

Source: An American Dilemma (1944), p. 397

“An explanation of the "institutional approach" to economic theory is a plea for a particular kind of theory. It is possible to come upon the same object from different angles; but more often those who take different routes chance upon different things. The "institutional approach" doubtless has some importance because it is a happy way to acceptable truth, but its significance lies in its being the only way to the right sort of theory. An appeal for "institutional economics" implies no attack upon the truth or value of other bodies of economic thought, but it is a denial of the claims of other systems of thought to be "economic theory." This, however, is no pointless struggle in method to be carried on by breaking syllogisms over concepts and by engaging in polemics over niceties in statement. On the contrary, it involves the very nature of the problems which the theorist should set himself; its real issue is over what economic theory is all about.”

Walton Hale Hamilton (1881–1958) Yale Law Professor

Source: The Institutional Approach to Economic Theory, 1919, p. 309: Introduction

Happiness, Truth, Way, Nature

“First then I will set out the very first theorem which became known to me by means of mechanics, namely that
Any segment of a section of a right angled cone (i. e., a parabola) is four-thirds of the triangle which has the same base and equal height,
and after this I will give each of the other theorems investigated by the same method. Then at the end of the book I will give the geometrical [proofs of the propositions]…”

Archimedes book The Method of Mechanical Theorems

The Method of Mechanical Theorems

Books

“Experienced object designers explore the design space from many different angles. They refine ideas of how their system should respond while they are in the middle of building and discarding ideas about how their design should work. Getting a design to gel involves making assumptions, seeing how they play out, changing one’s mind or perspective slightly and re-iterating. Design is a difficult, involved task. It inherently is a non-linear process. Yet, we are asked to trace our design results back to system requirements. And, if we uncover some implications during design, we’d like to tune our system requirements to reflect necessary design compromises.”

Rebecca Wirfs-Brock (1953) American software engineer

Abstract
Designing scenarios: Making the case for a use case framework (1993)

Idea, Change

““What about spatial relationships?” the investigator inquired, as I was looking at the books. It was difficult to answer. True, the perspective looked rather odd, and the walls of the room no longer seemed to meet in right angles. But these were not the really important facts. The really important facts were that spatial relationships had ceased to matter very much and that my mind was perceiving the world in terms of other than spatial categories. At ordinary times the eye concerns itself with such problems as Where?—How far?—How situated in relation to what? In the mescalin experience the implied questions to which the eye responds are of another order. Place and distance cease to be of much interest. The mind does its Perceiving in terms of intensity of existence, profundity of significance, relationships within a pattern. I saw the books, but was not at all concerned with their positions in space. What I noticed, what impressed itself upon my mind was the fact that all of them glowed with living light and that in some the glory was more manifest than in others. In this context position and the three dimensions were beside the point. Not, of course, that the category of space had been abolished. When I got up and walked about, I could do so quite normally, without misjudging the whereabouts of objects. Space was still there; but it had lost its predominance. The mind was primarily concerned, not with measures and locations, but with being and meaning.”

Aldous Huxley book The Doors of Perception

describing his experiment with mescaline, pp. 19-20
Source: The Doors of Perception (1954)

Books, World, Question, Problem

““But you're a Philosopher!” Julian exclaimed at one point. “This is Philosophy, not Religion, since you rule out supernatural beings—you know that as well as I do!”
“I suppose it is Philosophy, looked at from one angle,” Stepney conceded. “But there’s no money in Philosophy, Julian. Religion is far more lucrative as a career.””

Robert Charles Wilson book Julian Comstock: A Story of 22nd-Century America

Source: Julian Comstock: A Story of 22nd-Century America (2009), p. 338

Money, Religion

“Thus it is with all pictures, there are many layers, and with good reason an analysis nearly always deals with the last [layer]. The last layer in a superficial sense. But how then can one talk of what one cannot see, the overpainted or wiped-off layers, how to go about for example, photographs that are like slates with layers which no longer exist. The answer is that they exists nevertheless, taken up into the visible layer by a rubbing-off, but the problem, on the whole, is how one deals with the visible layer. The angle-sure, viewpoint seeking and in the worse sense 'analytic' intercourse with the picture.”

Per Kirkeby (1938–2018) Danish artist

1965 - 1995, Bravura', Per Kirkeby, (1982)

Problem, Sense

“The first law is the same for both light and material bodies; they both move in a straight line, as long as they are not deflected by an outside force.
The second law is also the same as that governing the reflection of an elastic ball from an impenetrable surface. Mechanics shows that such a ball is reflected from such a surface so that its angle of reflection equals its angle of incidence, as observed for light.
But the third law still requires a plausible explanation. The passage of light from one medium to another exhibits behavior that is totally different from a ball moving through different media.”

Pierre Louis Maupertuis (1698–1759) French mathematician, philosopher and man of letters

Accord de différentes loix de la nature qui avoient jusqu’ici paru incompatibles (1744)

Law, Behavior, Light

“When she got to an angle of about 60 degrees, there was a sullen sort of rumbling roar as her massive boilers all left their beds and went crashing down through the bulkheads and everything that stood in their way.Up to that moment, she had stood out as clear as clear with her rows of electric lights all burning. When the boilers broke away, she was, of course, plunged into absolute darkness though her huge black outline was still perfectly distinct up against the stars and sky.Slowly she reared up on end till, at last, she was absolutely perpendicular. Then quite quietly, but quicker and quicker, she seemed just to slide away under the surface and disappear.As she vanished, everyone around me on the upturned boat, as though they could hardly believe it, just said, "She's gone."”

Charles Lightoller (1874–1952) British sailor

Interview with the BBC, 1936

Star, Light

“In geometry the following theorems are attributed to him [Thales]—and their character shows how the Greeks had to begin at the very beginning of the theory—(1) that a circle is bisected by any diameter (Eucl. I., Def. 17), (2) that the angles at the base of an isosceles triangle are equal (Eucl. I., 5), (3) that, if two straight lines cut one another, the vertically opposite angles are equal (Eucl. I., 15), (4) that, if two triangles have two angles and one side respectively equal, the triangles are equal in all respects (Eucl. I., 26). He is said (5) to have been the first to inscribe a right-angled triangle in a circle: which must mean that he was the first to discover that the angle in a semicircle is a right angle. He also solved two problems in practical geometry: (1) he showed how to measure the distance from the land of a ship at sea (for this he is said to have used the proposition numbered (4) above), and (2) he measured the heights of pyramids by means of the shadow thrown on the ground”

Thomas Little Heath (1861–1940) British civil servant and academic

this implies the use of similar triangles in the way that the Egyptians had used them in the construction of pyramids
Achimedes (1920)

Way, Problem, Sea

“Alan Stock: What do you say, then, to a young girl—I am going to place it as he said it—when a young girl is raped by her father, let's say, and she is pregnant. How do you explain this to her in terms of wanting her to go through the process of having the baby?
Sharron Angle: I think that two wrongs don't make a right. And I have been in the situation of counseling young girls, not 13 but 15, who have had very at risk, difficult pregnancies. And my counsel was to look for some alternatives, which they did. And they found that they had made what was really a lemon situation into lemonade.”

Sharron Angle (1949) Former member of the Nevada Assembly from 1999 to 2007

Alan Stock Show
2010-07-07
Ravi
Somaiya
Sharron Angle Reveals Controversial Abortion Views
2010-07-08
Newsweek
http://www.newsweek.com/2010/07/08/sharron-angle-reveals-controversial-abortion-views.html

Girl, Thinking, Baby

“Jon Ralston: So you're saying if people lose their jobs through no fault of their own, as many have during this recession, Sharron Angle's solution is to cut their unemployment benefits so low so they're somehow gonna go out and find jobs that don't exist? How does that make any sense?
Sharron Angle: There are jobs that do exist. That's what we're saying, is that there are jobs. But those are entry-level jobs.”

Sharron Angle (1949) Former member of the Nevada Assembly from 1999 to 2007

Face to Face
2010-06-29
Sharron Angle's Unemployment Solution: There Are Lots Of Jobs Available
2010-06-30
The Huffington Post
http://www.huffingtonpost.com/2010/06/30/sharron-angles-unemployme_n_631350.html

People, Sense

“I deliberately disregarded the right angle and rationalist architecture designed with ruler and square to boldly enter the world of curves and straight lines offered by reinforced concrete.… This deliberate protest arose from the environment in which I lived, with its white beaches, its huge mountains, its old baroque churches, and the beautiful suntanned women.”

Oscar Niemeyer (1907–2012) Brazilian architect

The Curves of Time: The Memoirs of Oscar Niemeyer (2000), p. 62.

Women, World, Beauty, Mountain

“A totally new concept of building design evolves from the application of basic aerodynamic phenomenon. Vetillation by installation of windows becomes obsolete… Air can be brought into the building from the roof or from under the floor. Wind scoops can be designed to assist the flow of air from practically any angle.”

Ken Kern American writer

The Owner Built Home: A How-to-do-it Book (1972)

“In attempting to expose the views of another, one is forced to make one's own view appear infallible and absolute, which is a procedure altogether to be avoided if one is making a specifically non-evaluative investigation. The second possible approach is nevertheless to combine such a non-evaluative analysis with a definite epistemology. Viewed from the angle of this second approach there are two separate and distinct solutions to the problem of what constitutes reliable knowledge — the one solution may be termed relationism, and the other relativism.”

Karl Mannheim (1893–1947) Hungarian sociologist

Ideology and Utopia (1929)

Knowledge, Problem, Appearance

“Bill Manders: I, too, am pro life but I'm also pro choice, do you understand what I say when I mean that.
Sharron Angle: I'm pro responsible choice. There is choice to abstain, choice to do contraception. There are all kinds of good choices.
Bill Manders: Is there any reason at all for an abortion?
Sharron Angle: Not in my book.
Bill Manders: So, in other words, rape and incest would not be something?
Sharron Angle: You know, I'm a Christian, and I believe that God has a plan and a purpose for each one of our lives and that he can intercede in all kinds of situations and we need to have a little faith in many things.”

Sharron Angle (1949) Former member of the Nevada Assembly from 1999 to 2007

interview with talk radio host Bill Manders, January 2010
Sharron Angle Opposes Abortion Even With Rape, Incest: 'God Has A Plan'
2010-06-29
The Huffington Post
http://www.huffingtonpost.com/2010/06/29/sharron-angle-opposes-abo_n_629371.html

Life, God, Books, Faith

“Rapidly going over what I could recall of Jim Bursley's information about pathological curves confirmed the conjecture. The snowball curve, derived from an equilateral triangle, is a perimeter of infinite length enclosing a finite area. The angles or points of the perimeter are uncountable. An equilateral triangle projected integrally in the third dimension is a triangular pyramid of equal surfaces. The three-dimensional snowflake derived from this pyramid--hence its diamantine appearance--is a finite volume enclosed in a surface of infinite area. The convolutions of such a surface, to be gathered around its defined content extrude a number of discrete angles or points beyond all possibility of computation. The pressure on each point is infinitesimal, unmeasurably small; the total external pressure exerted on any part of the surface is an aggregate of infinitesimal values, itself infinitesimal.”

William Grey Walter (1910–1977) American-born British neuroscientist and roboticist

Source: The Curve of the Snowflake (1956), p. 126.

Appearance, Parting

“Nature herself supplies us with an ascending scale or Alphabet of angles for half a degree up to 60 degrees, Specimens of which are placed in every Elementary School throughout the land. Owing to occasional retrogressions, to still more frequent moral and intellectual stagnation, and to the extraordinary fecundity of the Criminal and Vagabond Classes, there is always a vast superfluity of individuals of the half degree and single degree class, and a fair abundance of Specimens up to 10 degrees. These are absolutely destitute of civic rights; and a great number of them, not having even intelligence enough for the purposes of warfare, are devoted by the States to the service of education. Fettered immovably so as to remove all possibility of danger, they are placed in the class rooms of our Infant Schools, and there they are utilized by the Board of Education for the purpose of imparting to the offspring of the Middle Classes that tact and intelligence of which these wretched creatures themselves are utterly devoid.”

Edwin Abbott Abbott book Flatland

Source: Flatland: A Romance of Many Dimensions (1884), PART I: THIS WORLD, Chapter 5. Of Our Methods of Recognizing One Another

Education, School, Intelligence, Nature

“The sharpest peaks of the Ridge are the cluster of islets known as the Rocks of St. Paul, near the equator. The entire cluster of half a dozen islets is not more than a quarter of a mile across, and their rocky slopes drop off at so sheer an angle that water more than half a mile deep lies only a few feet off shore.”

Rachel Carson book The Sea Around Us

Chapter 5, Page 90 https://books.google.com/books?id=PvkDFTtW6f4C&&pg=PA90 The Sea Around Us (1951)

Water

“[Weber] is the only one who really deals with the problem of causes or approaches the material from that angle that can alone yield an answer to such questions, that is, the angle of comparative history in the broad sense.”

Frank Knight (1885–1972) American economist

Source: "Historical and theoretical issues in the problem of modern capitalism", 1928, p. 143

History, Question, Problem, Sense

“It [angling] deserves commendations;… it is an art worthy the knowledge and practice of a wise man.”

Izaak Walton book The Compleat Angler

Part I, ch. 1.
The Compleat Angler (1653-1655)

Art, Knowledge

“I like friends who have independent minds because they tend to make you see problems from all angles.”

Nelson Mandela (1918–2013) President of South Africa, anti-apartheid activist

Nelson Mandela on friendship, From his unplubished autobiographical manuscript written in 1975. Source: From Nelson Mandela By Himself: The Authorised Book of Quotations © 2010 by Nelson R. Mandela and The Nelson Mandela Foundation http://www.nelsonmandela.org/content/mini-site/selected-quotes 1970s

Problem

“By the time I came to England at the age of sixteen I'd seen a great variety of landscapes. I think the English landscape was the only landscape I'd come across which didn't mean anything, particularly the urban landscape. England seemed to be very dull, because I'd been brought up at a much lower latitude — the same latitude as the places which are my real spiritual home as I sometimes think: Los Angeles and Casablanca. I'm sure this is something one perceives — I mean the angle of light, density of light. I'm always much happier in the south — Spain, Greece — than I am anywhere else. The English one, oddly enough, didn't mean anything. I didn't like it, it seemed odd. England was a place that was totally exhausted.”

J. G. Ballard (1930–2009) British writer

Interviewed by James Goddard and David Pringle (1975)

Age, Angels, Home, Thinking

“Emily, I saw you last night by the river
I dreamed you were skipping little stones across the surface of the water
Frowning at the angle where they were lost, and slipped under forever
In a mud cloud, mica-spangled, like the sky'd been breathing on a mirror.”

Joanna Newsom (1982) American musician

Ys (2006)

Dreams, Water, Night

“The First [Friend] is the alter ego, the man who first reveals to you that you are not alone in the world by turning out (beyond hope) to share all your most secret delights. There is nothing to be overcome in making him your friend; he and you join like raindrops on a window. But the Second Friend is the man who disagrees with you about everything… Of course he shares your interests; otherwise he would not become your friend at all. But he has approached them all at a different angle. he has read all the right books but has got the wrong thing out of every one… How can he be so nearly right, and yet, invariably, just not right? He is as fascinating (and infuriating) as a woman.”

Clive Staples Lewis book Surprised by Joy

Surprised by Joy (1955)

Secret, Books, World, Hope

“As long as he could whisper, he would go on as he had begun, bluntly refusing to meet his creator with the admission that the creation had taught him nothing except that the square of the hypotenuse of a right-angled triangle might for convenience be taken as equal to something else. Every man with self-respect enough to become effective, if only as a machine, has had to account to himself for himself somehow, and to invent a formula of his own for his universe, if the standard formulas failed.”

Henry Adams (1838–1918) journalist, historian, academic, novelist

The Education of Henry Adams (1907)

Universe

“I suppose my formula might be: dream, diversify and never miss an angle.”

Walt Disney (1901–1966) American film producer and businessman

"Walt's Profit Formula: Dream, Diversity, and Never Miss an Angle" in Wall Street Journal (4 February 1958)

Dreams

“It is to be observed that "angling" is the name given to fishing by people who can't fish.”

Stephen Leacock (1869–1944) writer and economist

When Fellers Go Fishing http://books.google.com/books?id=I-kCAAAAMAAJ&q=%22It+is+to+be+observed+that+angling+is+the+name+given+to+fishing+by+people+who+can't+fish%22&pg=PA147#v=onepage, The Leacock Roundabout, (1945)

People, Fish

“Wow, look at all the places you can park,” he said, as if for all these years he had been cruising endlessly, unable to terminate a journey. For about a year the most dangerous place to drive in Des Moines was the parking lot of Merle Hay Mall because of all the cars speeding at joyous random angles across its boundless blacktop without reflecting that other happy souls might be doing likewise.”

Bill Bryson (1951) American author

Source: The Life And Times of the Thunderbolt Kid (2006), p. 182

Happiness, Cars, Soul, Speed

“Time, so to say, runs at right angles to the page at each point on the curve.”

Joan Robinson (1903–1983) English economist

Source: Economic Heresies (1971), Chapter VII, The Theory of the Firm, p. 104

Time

“I think you need inspiration, motivation from different angles to keep you going, because it isn’t that simple just to wake up every morning and go for another travel around the world, another practice, all these other things; another fitness workout, another stretch. It’s always nice, but you need to have some success and you need to have the right reasons why you’re doing it. I think I’ve always been able to do that and I really enjoy myself out on the court.”

Roger Federer (1981) Swiss tennis player

Tennis - ATP World Tour - London 2012 Final - Federer Inspired By Love For The Game http://www.atpworldtour.com/News/Tennis/2012/11/45/London-Finale-Monday2-Federer-Inspired-By-Love-For-Game.aspx

World, Travel, Motivation, Thinking

“A question: when is a bed not a bed? When it is angled lie-flat. My back hurts, my legs ache and my clothes are all rumpled - and all because the airline, which claimed to have a bed, actually offered up a torture machine which I prefer to call a slide.”

Richard Quest (1962) English television journalist

Tuesday, August 21, 2007 His blog for CNN http://edition.cnn.com/TRAVEL/blogs/richard.quest/

Lie, Question, Hurt, Clothes

“We may say of angling as Dr. Boteler said of strawberries: "Doubtless God could have made a better berry, but doubtless God never did"; and so, if I might be judge, God never did make a more calm, quiet, innocent recreation than angling.”

Izaak Walton book The Compleat Angler

Part I, ch. 5. Referring to William Butler, styled by Dr. Fuller in his "Worthies" (Suffolk) the "Æsculapius of our age." He died in 1621. This first appeared in the second edition of "The Angler," 1655. Roger Williams, in his "Key into the Language of America," 1643, p. 98, says: "One of the chiefest doctors of England was wont to say, that God could have made, but God never did make, a better berry".
The Compleat Angler (1653-1655)

God

“Bill Manders: We have domestic enemies. We have home-born homegrown enemies in our system. And I for one think we have some of those enemies in our own, in the walls of the Senate and the Congress.
Sharron Angle: Yes. I think you're right, Bill.”

Sharron Angle (1949) Former member of the Nevada Assembly from 1999 to 2007

interview with talk radio host Bill Manders, 2009-10-21
Greg
Sargent
Sharron Angle agrees with radio host who says we have "domestic enemies" within Congress
2010-08-24
The Plum Line
Washington Post
http://voices.washingtonpost.com/plum-line/2010/08/sharron_angle_agrees_we_have_d.html

Home, Thinking

“It was in vain. I brought my hardest right angle into violent collision with the Stranger, pressing on him with a force sufficient to have destroyed any ordinary Circle: but I could feel him slowly and unarrestably slipping from my contact; no edging to the right nor to the left, but moving somehow out of the world, and vanishing to nothing. Soon there was a blank. But still I heard the Intruder's voice.

SPHERE. Why will you refuse to listen to reason? I had hoped to find in you — as being a man of sense and an accomplished mathematician — a fit apostle for the Gospel of the Three Dimensions, which I am allowed to preach once only in a thousand years: but now I know not how to convince you. Stay, I have it. Deeds, and not words, shall proclaim the truth.”

Edwin Abbott Abbott book Flatland

Source: Flatland: A Romance of Many Dimensions (1884), PART II: OTHER WORLDS, Chapter 17. How the Sphere, Having in Vain Tried Words, Resorted to Deeds

Truth, World, Hope, Feeling

“The cuckoo sings
at right angle
to the lark”

Mukai Kyorai (1651–1704) poet

BW (tr.), in: Faubion Bowers (ed.), The Classic Tradition of Haiku: An Anthology. 2012. p. 29

Singing

“By new style I meant mainly technical aspects. It is impossible to experience things from an entirely new angle through will-power; it has to mature in solitude.”

Otto Mueller (1874–1930) German painter and printmaker of the expressionist movement

from (letter 03 205) and (letter 03 147); as quoted in Otto Mueller: A Stand-Alone Modernist, Dieter W. Posselt; 2006 / new edition 2010, Books on Demand, GmbH, Norderstedt, Germany - ISBN:978-3-8448-6866-1, unpaged

Solitude

“In my very first review I was already jaded, observing of "Galia," an obscure French film, that it "opens and closes with arty shots of the ocean, mother of us all, but in between it's pretty clear that what is washing ashore is the French New Wave." My pose in those days was one of superiority to the movies, although just when I had the exact angle of condescension calculated, a movie would open that disarmed my defenses and left me ecstatic and joyful.”

Roger Ebert (1942–2013) American film critic, author, journalist, and TV presenter

Awake in the Dark: The Best of Roger Ebert (2006)

“On the train I was going over the problem of Sixes versus Fours and the disturbing periodic vibrations with which the 'six-cylinder manufacturers were contending. I realized the emphasis our competitors were placing on the fact that six smaller cylinders, producing the same maximum power as four larger ones, would result in smaller individual impulses, and consequent smoother action.
I knew that we were having good results with well-balanced four-cylinder motors. I first reasoned that if six light cylinders gave the same maximum power and lighter impulses than the tour, then eight still smaller cylinders would give still lighter impulses than the six cylinders. I also reasoned that, because of the lighter weight, those eight cylinder pistons could be run at higher speeds than either sixes or fours. Furthermore I did not like the six crankshaft. If made small enough to be in proportion with those light pistons, the extra length might introduce those undesirable vibrations; if made heavy enough to avoid; if made heavy enough to avoid these periodic vibrations there was the wight problem contend with.
As I lay awake pondering these factors, the idea came to me that we were having good success with four-cylinder motors; we would surely have equally good results with blocks of lighter four cylinders and pistons. Why not make up those smaller blocks of lighter four cylinders and pistons, and put two of the blocks together at an angle and avoid that troublesome long crankshaft. The more I thought of this idea on that trip, the more convinced I became that it could be worked out.”

Henry M. Leland (1843–1932) American businessman

Source: Master of Precision: Henry M. Leland, 1966, p. 147; Leland talking about his idea for a V8 engine around 1913-14. Partly cited in: Alexander Richard Crabb (1969), Birth of a giant: the men and incidents that gave America the motorcar. p. 315

Idea, Problem, Light, Success

“Smiles come naturally to me, but I started thinking of them as an art form at my command. I studied all the time. I looked at magazines, I'd practice in front of the mirror and I'd ask photographers about the best angles. I can now pull out a smile at will.”

Tyra Banks (1973) American model, author and television personality

Lynn Hirschberg (June 1, 2008) "Banksable" http://www.nytimes.com/2008/06/01/magazine/01tyra-t.html?ei=5124&en=6a5e98a9634a54f6&ex=1369972800&partner=permalink&exprod=permalink&pagewanted=all, The New York Times, The New York Times Company.

Smile, Art, Nature, Thinking

“There was also a real Dayton out there, a charming small Ohio city, famous as the birthplace of the Wright Brothers. Its citizens energized us from the outset. Unlike the population of, say, Noew York, Geneva or Washington, which would scarcely notice another conference, Daytonians were proud to be part of history. Large signs at the commercial airport hailed Dayton as the "temporary center of international peace". The local newspapers and television stations covered the story from every angle, drawing the people deeper into the proceedings. When we ventured into a restaurant or a shopping center downtown, people crowded around, aying that they were praying for us. Warren Christopher was given at least one standing ovation in a restaurant. Families on the air base placed "candles of peace" in their front windows, and people gathered in peace vigils outside the base. One day they formed a "peace chain", although it was not large enough to surround the sprawling eight-thousand-acre base. Ohio's famous ethnic diversity was only on display. We did everything possible to emphasize the fact that in the American heartland people from every part of southeastern Europe lived together in peace, their competition restricted to softball games, church rivalries, and the occasional barroom fight. (…)”

Richard Holbrooke (1941–2010) American diplomat

Source: 1990s, To End a War (1998), p. 234

People, Family, Peace, History

“I came out here with an agenda tonight, to make a statement. And the reason is that WrestleMania 21 is less than five weeks away. We've already announced some of the biggest matches in Mania history. From Batista vs. Triple H for the World Championship, from Cena to JBL for the WWE Championship, Michaels has challenged Angle, Hogan's in the Hall of Fame, Stone Cold Steve Austin on Piper's Pit. Everybody wants to make an impact, so do I; everybody wants to be a part of history, so do I. I have an idea for a match to do that. It's a match that involves Y2J, five other elite WWE Superstars, a chance of a lifetime, and most importantly, one very big solid steel ladder.”

Chris Jericho (1970) American professional wrestler, musician, television host, podcast host and author

February 28, 2005 - WWE Raw

World, History, Idea, Chance

“There is an inside and an outside to every form. When they are in special accord, as for instance a nut in its shell or a child in the womb, or in the structure of shells or crystals, or when one senses the architecture of bones in the human figure, then I am most drawn to the effect of light. Every shadow cast by the sun from an ever-varying angle reveals the harmony of the inside to outside. Light gives full play to our tactile perceptions through the experience of our eyes, and the vitality of forms is revealed by the interplay between space and volume”

Barbara Hepworth (1903–1975) English sculptor

Extract from Barbara Hepworth: Carvings and Drawings, (from Chapter 1: The excitement of discovering the nature of carving, 1903-1930), with an introduction by Herbert Read, London, 1952
1947 - 1960

Sense, Light, Sun

“It is important to recognise that comparison is not a method or even an academic technique; rather, it is a discursive strategy. There are a few important points to bear in mind when one wants to make a comparison. First of all, one has to decide, in any given work, whether one is mainly after similarities or differences. It is very difficult, for example, to say, let alone prove, that Japan and China or Korea are basically similar or basically different. Either case could be made, depending on one’s angle of vision, one’s framework, and the conclusions towards which one intends to move. (In the jingoist years on the eve of the First World War, when Germans and Frenchmen were encouraged to hate each other, the great Austro-Marxist theoretician Otto Bauer enjoyed baiting both sides by saying that contemporary Parisians and Berliners had far more in common than either had with their respective medieval ancestors.) Here I have tried, as perhaps offering a useful example, to show how the comparative works I wrote between the early 1970s and the 2000s reflected, in their real difference, changing perspectives, framings and (political) intentions.”

Benedict Anderson (1936–2015) American political scientist

Benedict Anderson, " Frameworks of Comparison: Benedict Anderson reflects on his intellectual formation http://www.lrb.co.uk/v38/n02/benedict-anderson/frameworks-of-comparison," London Review of Books, Vol. 38, No. 2. 21 January 2016, p. 15-18

Hate, War, World, Change

“The Reason of the present Animadversions. …How far Hevelius has proceeded. That his instruments do not much exceed Ticho. The bigness, Sights and Divisions, not considerably differing. Ticho not ignorant of his new way of Division. …That so great curiosity as Hevelius strives for is needless without the use of Telescopic Sights, the power of the naked eye being limited. That no one part of an Instrument should be more perfect than another. …
That if Hevelius could have been prevail'd on by the Author to have used Telescopic Sights, his observations might have been 40 times more exact than they are.
That Hevelius his Objections against Telescopic sights are of no validity; but the Sights without Telescopes cannot distinguish a less angle then half a Minute.
That an Instrument of 3 foot Radius with Telescopes, will do more then one of 3 score foot Radius with common Sights, the eye being unable to distinguish. This is proved by the undiscernableness of spots in the Moon, and by an Experiment with Lines on a paper, by which a Standard is made of the power of the eye. …
A Conclusion of the Animadversions. That the learn'd World is obllig'd to Hevelius for what he hath done, but would have more, if he had used other instruments.
That the Animadvertor both contrived some hundreds of Instruments, each of very great accurateness for taking Angles, Levels, &c.; and a particular Arithmetical lnstrument for performing all Operations in Arithmetick, with the greatest ease, swiftness and certainty imaginable.
That the Reader may be the more certain of this, the Author describes an Instrument for taking Angles in the Heavens…”

Robert Hooke (1635–1703) English natural philosopher, architect and polymath

Contents, Animadversions on the First Part of the Machina Coelestis of the Astronomer Johannes Hevelius https://books.google.com/books?id=KAtPAAAAcAAJ (1674)

World, Way, Imagination, Time

“Opposites are:
for tone, a more luminous/lighter one for a darker one.
for tint, the complementaries, that is, a certain red opposed to its complementary, etc.
Red — Green
Orange — Blue
Yellow — Violet
for line, those making a right angle.”

Georges Seurat (1859–1891) French painter

Quotes, 1881 - 1890, Letter to Maurice Beaubourg', August 1890

“I believe that most of us are too quick to name things when we are with small children. By simply naming a thing and letting it go at that when a child asks, "What is that?" we communicate that the name or label is the most important thing, that naming is sufficient. We deprive our children of their sense of wonder and discovery by labeling and categorizing things in the physical world. Instead of merely naming a tree, for example, try also guiding your child through an exploration of the tree both physically and mentally. This exploration may include touching, smelling, seeing from various angles, comparing one tree with another, imagining the inside of the tree and the parts underground, listening to the leaves, viewing the tree at different times of the day or during different seasons, planting its seeds, observing how other creatures — birds, moths, bugs — use the tree, and so on. After discovering that every object is fascinating and complex, a child will begin to understand that the label is only a small part of the whole. Thus taught, a child's sense of wonder will survive, even under our modern avalanche of words.”

Betty Edwards (1926) American artist

Source: The New Drawing on the Right Side of the Brain (1979), p.239

Children, World, Imagination, Communication

“Perhaps there is nobody who would sacrifice his life for the sake of maintaining that the three angles of a triangle are together equal to two right angles, for such a truth does not demand the sacrifice of our life; but, on the other hand, there are many who have lost their lives for the sake of maintaining their religious faith. Indeed, it is truer to say that martyrs make faith than that faith makes martyrs. For faith is not the mere adherence of the intellect to an abstract principle; it is not the recognition of a theoretical truth, the process in which the will merely sets in motion our faculty of comprehension; faith is an act of the will — it is a movement of the soul towards a practical truth, towards a person, towards something that makes us not merely comprehend life, but that makes us live.”

Miguel de Unamuno (1864–1936) 19th-20th century Spanish writer and philosopher

The Tragic Sense of Life (1913), IX : Faith, Hope, and Charity

Life, Truth, Faith, Soul

“Let the blessing of St. Peter's Master be…upon all that are lovers of virtue, and dare trust in his Providence, and be quiet and go a-angling.”

Izaak Walton book The Compleat Angler

Part I, ch. 21.
The Compleat Angler (1653-1655)

Lovers

“At dawn she lay with her profile at that angle
Which, when she sleeps, seems the carved face of an angel.”

Stephen Spender (1909–1995) English poet and man of letters

"Daybreak"

Angels, Sleep

“Sir Henry Wotton was a most dear lover and a frequent practiser of the Art of Angling; of which he would say, "'T was an employment for his idle time, which was then not idly spent, a rest to his mind, a cheerer of his spirits, a diverter of sadness, a calmer of unquiet thoughts, a moderator of passions, a procurer of contentedness;" and "that it begat habits of peace and patience in those that professed and practised it."”

Izaak Walton book The Compleat Angler

Part I, ch. 1.
The Compleat Angler (1653-1655)

Sadness, Peace, Art, Lovers

“The great Cartesian invention had its roots in those famous problems of antiquity which originated in the days of Plato. In endeavoring to solve the problems of the trisection of an angle, of the duplication of the cube and of the squaring of the circle, the ruler and compass having failed them, the Greek geometers sought new curves. They stumbled on the conic sections…There we find the nucleus of the method which Descartes later erected into a principle. Thus Apollonius referred the parabola to its axis and principal tangent, and showed that the semichord was the mean propotional between the latus rectum and the height of the segment. Today we express this relation by x2 = Ly, calling the height the ordinate (y) and the semichord the abscissa (x); the latus rectum being… L. …the Greeks named these curves and many others… loci… Thus the ellipse was the locus of a point the sum of the distances of which from two fixed points was constant. Such a description was a rhetorical equation of the curve…”

Tobias Dantzig (1884–1956) American mathematician

Number: The Language of Science (1930)

Lying, Problem

“The engineers made hard forms. Evil. With angles. They are easily broken. The world is round and soft..”

Vladimir Tatlin (1885–1953) Russian artist

quote, c. 1930; cited by Christina Lodder https://utopiadystopiawwi.wordpress.com/constructivism/vladimir-tatlin/letalin/, in Russian Constructivism; Yale University Press, Connecticut, 1983, p. 214 The 'Letatlin' Tatlin constructed in organic round and oval forms Quotes, 1926 - 1954

World, Evil

“The dangers to which we are exposed from our Women must now be manifest to the meanest capacity in Spaceland. If even the angle of a respectable Triangle in the middle class is not without its dangers; if to run against a Working Man involves a gash; if collision with an officer of the military class necessitates a serious wound; if a mere touch from the vertex of a Private Soldier brings with it danger of death; — what can it be to run against a Woman, except absolute and immediate destruction? And when a Woman is invisible, or visible only as a dim sub-lustrous point, how difficult must it be, even for the most cautious, always to avoid collision!”

Edwin Abbott Abbott book Flatland

Source: Flatland: A Romance of Many Dimensions (1884), PART I: THIS WORLD, Chapter 4. Concerning the Women

Death, Women

“The earth has no doubt wobbled through the years. The North Pole has moved around. Today the earth is tilted over 23.5 degrees. That is why they always mount the globe on that 23.5 degree angle. Stonehenge is an interesting stone building. Apparently it was built to worship the sun at summer solstice. But today, Stonehenge does not line up. The Egyptian Temple Amen Ra was apparently built to worship the sun at summer solstice, the longest day of the year. But it doesn't line up. Eudoxus, same thing. The earth is tilted over today, and that's what causes the seasons. […] Today the earth is pretty stable. The North Pole doesn't move around very much. But could it be that something actually struck Planet Earth about the time of Noah's flood? Well that's what the scientific evidence points towards. Today the earth is tilted over and that's what causes the seasons.”

Kent Hovind (1953) American young Earth creationist

Creation seminars (2003-2005), The Hovind theory

Time, Sun, Summer, Season

“A conceptual level view of an object design describes the key abstractions. While someone might think of key abstractions as being nothing more or nothing less than high-level descriptions of "candidate classes", I prefer to consider a conceptual design from a slightly different angle--I'm thinking about design at a slightly different level.
An object-oriented application is a set of interacting objects. Each object is an implementation of one or more roles. A role supports a set of related (cohesive) responsibilities. A responsibility is an obligation to perform a task or know certain information. And objects don't work in isolation, they collaborate with others in a community to perform the overall responsibilities of the application. So a conceptual view, at least to start, is a distillation of the key object roles and their responsibilities (stated at a fairly high level). More than likely (unless you form classification hierarchies and use inheritance and composition techniques) many candidates you initially model will map directly to a single class in some inheritance hierarchy. But I like to open up possibilities by think first of roles and responsibilities, and then as a second step towards a specification-level view, mapping these candidates to classes and interfaces.”

Rebecca Wirfs-Brock (1953) American software engineer

Rebecca Wirfs-Brock (2003) in " An Interview with Rebecca Wirfs-Brock Author of Object Design http://www.objectsbydesign.com/books/RebeccaWirfs-Brock.html" 2003-2005 Objects by Design, Inc: Answer to the question Can you clarify what you consider to be the essential elements of a "conceptual view".

Communication, Support, Thinking

“To help us to understand three-dimensional spaces, two-dimensional analogies may be very useful… A two-dimensional space of zero curvature is a plane, say a sheet of paper. The two-dimensional space of positive curvature is a convex surface, such as the shell of an egg. It is bent away from the plane towards the same side in all directions. The curvature of the egg, however, is not constant: it is strongest at the small end. The surface of constant positive curvature is the sphere… The two-dimensional space of negative curvature is a surface that is convex in some directions and concave in others, such as the surface of a saddle or the middle part of an hour glass. Of these two-dimensional surfaces we can form a mental picture because we can view them from outside… But… a being… unable to leave the surface… could only decide of which kind his surface was by studying the properties of geometrical figures drawn on it. …On the sheet of paper the sum of the three angles of a triangle is equal to two right angles, on the egg, or the sphere, it is larger, on the saddle it is smaller. …The spaces of zero and negative curvature are infinite, that of positive curvature is finite. …the inhabitant of the two-dimensional surface could determine its curvature if he were able to study very large triangles or very long straight lines. If the curvature were so minute that the sum of the angles of the largest triangle that he could measure would… differ… by an amount too small to be appreciable… then he would be unable to determine the curvature, unless he had some means of communicating with somebody living in the third dimension…. our case with reference to three-dimensional space is exactly similar. …we must study very large triangles and rays of light coming from very great distances. Thus the decision must necessarily depend on astronomical observations.”

Willem de Sitter (1872–1934) Dutch cosmologist

Kosmos (1932)

Communication, Understanding, Decision, Study

Quotes about angle page 2

Quotes about angle
page 2