Quotes about angle (232 quotes, page 3)

“Suppose then I want to give myself a little training in the art of reasoning; suppose I want to get out of the region of conjecture and probability, free myself from the difficult task of weighing evidence, and putting instances together to arrive at general propositions, and simply desire to know how to deal with my general propositions when I get them, and how to deduce right inferences from them; it is clear that I shall obtain this sort of discipline best in those departments of thought in which the first principles are unquestionably true. For in all 59 our thinking, if we come to erroneous conclusions, we come to them either by accepting false premises to start with—in which case our reasoning, however good, will not save us from error; or by reasoning badly, in which case the data we start from may be perfectly sound, and yet our conclusions may be false. But in the mathematical or pure sciences,—geometry, arithmetic, algebra, trigonometry, the calculus of variations or of curves,—we know at least that there is not, and cannot be, error in our first principles, and we may therefore fasten our whole attention upon the processes. As mere exercises in logic, therefore, these sciences, based as they all are on primary truths relating to space and number, have always been supposed to furnish the most exact discipline. When Plato wrote over the portal of his school. “Let no one ignorant of geometry enter here,” he did not mean that questions relating to lines and surfaces would be discussed by his disciples. On the contrary, the topics to which he directed their attention were some of the deepest problems,—social, political, moral,—on which the mind could exercise itself. Plato and his followers tried to think out together conclusions respecting the being, the duty, and the destiny of man, and the relation in which he stood to the gods and to the unseen world. What had geometry to do with these things? Simply this: That a man whose mind has not undergone a rigorous training in systematic thinking, and in the art of drawing legitimate inferences from premises, was unfitted to enter on the discussion of these high topics; and that the sort of logical discipline which he needed was most likely to be obtained from geometry—the only mathematical science which in Plato’s time had been formulated and reduced to a system. And we in this country [England] have long acted on the same principle. Our future lawyers, clergy, and statesmen are expected at the University to learn a good deal about curves, and angles, and numbers and proportions; not because these subjects have the smallest relation to the needs of their lives, but because in the very act of learning them they are likely to acquire that habit of steadfast and accurate thinking, which is indispensable to success in all the pursuits of life.”

Joshua Girling Fitch (1824–1903) British educationalist

Source: Lectures on Teaching, (1906), pp. 291-292

Life , God , Truth , World

“The discovery of Hippocrates amounted to the discovery of the fact that from the relation
(1)\frac{a}{x} = \frac{x}{y} = \frac{y}{b}it follows that(\frac{a}{x})^3 = [\frac{a}{x} \cdot \frac{x}{y} \cdot \frac{y}{b} =] \frac{a}{b}and if a = 2b, [then (\frac{a}{x})^3 = 2, and]a^3 = 2x^3.The equations (1) are equivalent [by reducing to common denominators or cross multiplication] to the three equations
(2)x^2 = ay, y^2 = bx, xy = ab[or equivalently…y = \frac{x^2}{a}, x = \frac{y^2}{b}, y = \frac{ab}{x} ]Doubling the Cube
the 2 solutions of Menaechmusand the solutions of Menaechmus described by Eutocius amount to the determination of a point as the intersection of the curves represented in a rectangular system of Cartesian coordinates by any two of the equations (2).
Let AO, BO be straight lines placed so as to form a right angle at O, and of length a, b respectively. Produce BO to x and AO to y.
The first solution now consists in drawing a parabola, with vertex O and axis Ox, such that its parameter is equal to BO or b, and a hyperbola with Ox, Oy as asymptotes such that the rectangle under the distances of any point on the curve from Ox, Oy respectively is equal to the rectangle under AO, BO i. e. to ab. If P be the point of intersection of the parabola and hyperbola, and PN, PM be drawn perpendicular to Ox, Oy, i. e. if PN, PM be denoted by y, x, the coordinates of the point P, we shall have

\begin{cases}y^2 = b. ON = b. PM = bx\\ and\\ xy = PM. PN = ab\end{cases}whence\frac{a}{x} = \frac{x}{y} = \frac{y}{b}.
In the second solution of Menaechmus we are to draw the parabola described in the first solution and also the parabola whose vertex is O, axis Oy and parameter equal to a.”

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

The point P where the two parabolas intersect is given by<center><math>\begin{cases}y^2 = bx\\x^2 = ay\end{cases}</math></center>whence, as before,<center><math>\frac{a}{x} = \frac{x}{y} = \frac{y}{b}.</math></center>
Apollonius of Perga (1896)

Drawing

“Doubt not but angling will prove to be so pleasant that it will prove to be, like virtue, a reward to itself.”

Izaak Walton book The Compleat Angler

Part I, ch. 1. Compare: "Virtue is her own reward", John Dryden, Tyrannic Love, act iii, scene 1; "Virtue is to herself the best reward", Henry More, Cupid's Conflict; "Virtue is its own reward", Matthew Prior, Imitations of Horace, book iii. ode 2; John Gay, Epistle to Methuen; Home, Douglas, act iii, scene 1. "Virtue was sufficient of herself for happiness", Diogenes Laertius, Plato, xlii; "Ipsa quidem virtus sibimet pulcherrima merces" ("Virtue herself is her own fairest reward"), Silius Italicus (25?–99): Punica, lib. xiii. line 663.
The Compleat Angler (1653-1655)

“The classic instrument to measure drawn angles and to draw angles of a given measure is the protractor — essentially half a circular ring, subdivided by ray segments into 180 degrees. For reasons I was unable to find out, this instrument has recently been superseded by an isosceles right triangle — called geo-triangle, solid, transparant, made of plastic — with an angular division radiating from the midpoint of the hypotenuse to the other sides. Well, inside the triangle half a circle with the midpoint of the hypotenuse as its centre is indicated, and from the position of the degree numbers it becomes clear that it is the semicircle that really matters. One is inclined to say "an outrageously misleading instrument"…”

Hans Freudenthal (1905–1990) Dutch mathematician

Source: Mathematics as an Educational Task (1973), p. 363

Drawing

“To my readers in Spaceland the condition of our Women may seem truly deplorable, and so indeed it is. A Male of the lowest type of the Isosceles may look forward to some improvement of his angle, and to the ultimate elevation of the whole of his degraded caste; but no Woman can entertain such hopes for her sex.”

Edwin Abbott Abbott book Flatland

Source: Flatland: A Romance of Many Dimensions (1884), PART I: THIS WORLD, Chapter 4. Concerning the Women
Context: To my readers in Spaceland the condition of our Women may seem truly deplorable, and so indeed it is. A Male of the lowest type of the Isosceles may look forward to some improvement of his angle, and to the ultimate elevation of the whole of his degraded caste; but no Woman can entertain such hopes for her sex. "Once a Woman, always a Woman" is a Decree of Nature; and the very Laws of Evolution seem suspended in her disfavour. Yet at least we can admire the wise Prearrangement which has ordained that, as they have no hopes, so they shall have no memory to recall, and no forethought to anticipate, the miseries and humiliations which are at once a necessity of their existence and the basis of the constitution of Flatland.

Women , Hope , Sex

“As the number of the sides increases, a Polygon approximates to a Circle; and, when the number is very great indeed, say for example three or four hundred, it is extremely difficult for the most delicate touch to feel any polygonal angles. Let me say rather, it WOULD be difficult: for, as I have shown above, Recognition by Feeling is unknown among the highest society, and to FEEL a Circle would be considered a most audacious insult. This habit of abstention from Feeling in the best society enables a Circle the more easily to sustain the veil of mystery in which, from his earliest years, he is wont to enwrap the exact nature of his Perimeter or Circumference.”

Edwin Abbott Abbott book Flatland

Source: Flatland: A Romance of Many Dimensions (1884), PART I: THIS WORLD, Chapter 11. Concerning our Priests
Context: p>With us, our Priests are Administrators of all Business, Art, and Science; Directors of Trade, Commerce, Generalship, Architecture, Engineering, Education, Statesmanship, Legislature, Morality, Theology; doing nothing themselves, they are the Causes of everything worth doing, that is done by others.Although popularly everyone called a Circle is deemed a Circle, yet among the better educated Classes it is known that no Circle is really a Circle, but only a Polygon with a very large number of very small sides. As the number of the sides increases, a Polygon approximates to a Circle; and, when the number is very great indeed, say for example three or four hundred, it is extremely difficult for the most delicate touch to feel any polygonal angles. Let me say rather, it WOULD be difficult: for, as I have shown above, Recognition by Feeling is unknown among the highest society, and to FEEL a Circle would be considered a most audacious insult. This habit of abstention from Feeling in the best society enables a Circle the more easily to sustain the veil of mystery in which, from his earliest years, he is wont to enwrap the exact nature of his Perimeter or Circumference.</p

Feeling , Nature

“Angling is somewhat like poetry, men are to be born so”

Izaak Walton book The Compleat Angler

Part I, ch. 1.
The Compleat Angler (1653-1655)
Context: Angling is somewhat like poetry, men are to be born so: I mean, with inclinations to it, though both may be heightened by discourse and practice

Men

“To a given right line to apply a parallelogram equal to a given triangle in an angle which is equal to a given right lined angle.
According to the Familiars of Eudemus, the inventions respecting the application, excess, and defect of spaces, is ancient and belongs to the Pythagoric muse. But junior mathematicians receiving names from these, transferred them to the lines which are called conic, because one of these they denominate a parabola, but the other an hyperbola, and the third an ellipsis; since, indeed these ancient and divine men, in the plane description of spaces on a terminated right line, regarded the things indicated by these appellations. For when a right line being proposed, you adapt a given space to the whole right line, then that space is said to be applied, but when you make the longitude of the space greater than that of the right line, then the space is said to exceed; but when less, so that some part of the right line is external to the described space, then the space is said to be deficient.”

Proclus (412–485) Greek philosopher

And after this manner, Euclid, in the sixth book, mentions both excess and defect. But in the present problem he requires application...
The Philosophical and Mathematical Commentaries of Proclus on the First Book of Euclid's Elements Vol. 2 (1789)

Men , Books , Problem , Parting

“If two right lines cut one another, they will form the angles at the vertex equal….
This… is what the the present theorem evinces, that when two right lines mutually cut each other, the vertical angles are equal. And it was first invented according to Eudemus by Thales…”

Proclus (412–485) Greek philosopher

Proposition XV. Thereom VIII.
The Philosophical and Mathematical Commentaries of Proclus on the First Book of Euclid's Elements Vol. 2 (1789)

“I really draw folk as I see them. Surely it is not my fault that they fall into certain lines and angles.”

Aubrey Beardsley (1872–1898) English illustrator and author

From an interview in the newspaper To-Day (1894), as quoted in Aubrey Beardsley : A Biography (1999) by Matthew Sturgis, p. 200
Context: All humanity inspires me. Every passer-by is my unconscious sitter; and as strange as it may seem, I really draw folk as I see them. Surely it is not my fault that they fall into certain lines and angles.

Drawing

“Desperate with fear, I rushed forward with an unceremonious, "You must permit me, Sir — " and felt him. My Wife was right. There was not the trace of an angle, not the slightest roughness or inequality: never in my life had I met with a more perfect Circle.”

Edwin Abbott Abbott book Flatland

Source: Flatland: A Romance of Many Dimensions (1884), PART II: OTHER WORLDS, Chapter 16. How the Stranger Vainly Endeavoured to Reveal to Me in Words the Mysteries of Spaceland
Context: Desperate with fear, I rushed forward with an unceremonious, "You must permit me, Sir — " and felt him. My Wife was right. There was not the trace of an angle, not the slightest roughness or inequality: never in my life had I met with a more perfect Circle. He remained motionless while I walked round him, beginning from his eye and returning to it again. Circular he was throughout, a perfectly satisfactory Circle; there could not be a doubt of it. Then followed a dialogue, which I will endeavour to set down as near as I can recollect it, omitting only some of my profuse apologies — for I was covered with shame and humiliation that I, a Square, should have been guilty of the impertinence of feeling a Circle. It was commenced by the Stranger with some impatience at the lengthiness of my introductory process.STRANGER. Have you felt me enough by this time? Are you not introduced to me yet?

Life , Fear , Perfection

“There, before my ravished eye, a Cube, moving in some altogether new direction, but strictly according to Analogy, so as to make every particle of his interior pass through a new kind of Space, with a wake of its own — shall create a still more perfect perfection than himself, with sixteen terminal Extra-solid angles, and Eight solid Cubes for his Perimeter. And once there, shall we stay our upward course? In that blessed region of Four Dimensions, shall we linger on the threshold of the Fifth, and not enter therein?”

Edwin Abbott Abbott book Flatland

Source: Flatland: A Romance of Many Dimensions (1884), PART II: OTHER WORLDS, Chapter 19. How, Though the Sphere Showed Me Other Mysteries of Spaceland, I Still Desired More; and What Came of It
Context: p>Those who have thus appeared — no one knows whence — and have returned — no one knows whither — have they also contracted their sections and vanished somehow into that more Spacious Space, whither I now entreat you to conduct me?SPHERE (MOODILY). They have vanished, certainly — if they ever appeared. But most people say that these visions arose from the thought — you will not understand me — from the brain; from the perturbed angularity of the Seer.I. Say they so? Oh, believe them not. Or if it indeed be so, that this other Space is really Thoughtland, then take me to that blessed Region where I in Thought shall see the insides of all solid things. There, before my ravished eye, a Cube, moving in some altogether new direction, but strictly according to Analogy, so as to make every particle of his interior pass through a new kind of Space, with a wake of its own — shall create a still more perfect perfection than himself, with sixteen terminal Extra-solid angles, and Eight solid Cubes for his Perimeter. And once there, shall we stay our upward course? In that blessed region of Four Dimensions, shall we linger on the threshold of the Fifth, and not enter therein? Ah, no! Let us rather resolve that our ambition shall soar with our corporal ascent. Then, yielding to our intellectual onset, the gates of the Sixth Dimension shall fly open; after that a Seventh, and then an Eighth —How long I should have continued I know not. In vain did the Sphere, in his voice of thunder, reiterate his command of silence, and threaten me with the direst penalties if I persisted. Nothing could stem the flood of my ecstatic aspirations. Perhaps I was to blame; but indeed I was intoxicated with the recent draughts of Truth to which he himself had introduced me. However, the end was not long in coming. My words were cut short by a crash outside, and a simultaneous crash inside me, which impelled me through space with a velocity that precluded speech. Down! down! down! I was rapidly descending; and I knew that return to Flatland was my doom. One glimpse, one last and never-to-be-forgotten glimpse I had of that dull level wilderness — which was now to become my Universe again — spread out before my eye. Then a darkness. Then a final, all-consummating thunder-peal; and, when I came to myself, I was once more a common creeping Square, in my Study at home, listening to the Peace-Cry of my approaching Wife.</p

Perfection

“She was no scholar in geometry or aught else, but she felt intuitively that the bend and slant of the way she went were somehow outside any other angles or bends she had ever known.”

C. L. Moore (1911–1987) American author

Black God's Kiss (1934)
Context: It was a long way down. Before she had gone very far the curious dizziness she had known before came over her again, a dizziness not entirely induced by the spirals she whirled around, but a deeper, atomic unsteadiness as if not only she but also the substances around her were shifting. There was something queer about the angles of those curves. She was no scholar in geometry or aught else, but she felt intuitively that the bend and slant of the way she went were somehow outside any other angles or bends she had ever known. They led into the unknown and the dark, but it seemed to her obscurely that they led into deeper darkness and mystery than the merely physical, as if, though she could not put it clearly even into thoughts, the peculiar and exact lines of the tunnel had been carefully angled to lead through poly-dimensional space as well as through the underground — perhaps through time, too.

Way

“Though we cannot SEE angles, we can INFER them, and this with great precision.”

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
Context: Though we cannot SEE angles, we can INFER them, and this with great precision. Our sense of touch, stimulated by necessity, and developed by long training, enables us to distinguish angles far more accurately than your sense of sight, when unaided by a rule or measure of angles.

“Ptolemy left in his Optics, the earliest surviving table of angles of refraction from air to water.”

Carl B. Boyer (1906–1976) American mathematician

Source: The Rainbow: From Myth to Mathematics (1959), p. 61
Context: Ptolemy left in his Optics, the earliest surviving table of angles of refraction from air to water. … This table, quoted and requoted until modern times, has been admired … A closer glance at it, however, suggests that there was less experimentation involved in it than originally was thought, for the values of the angles of refraction form an arithmetic progression of second order … As in other portions of Greek Science, confidence in mathematics was here greater than that in the evidence of the senses, although the value corresponding to 60° agrees remarkably well with experience.

Water

“The words, the style always reflects a habit of mind. And the habit of mind comes in from a different angle.”

John Leonard (1939–2008) American critic, writer, and commentator

Interview with Bill Moyers http://www.pbs.org/now/transcript/transcript_leonard.html, Now, PBS (28 November 2003)
Context: The words, the style always reflects a habit of mind. And the habit of mind comes in from a different angle. The habit of mind uses the colloquial here and uses the joke there. And then creates some discordant music and then something strange and wonderful happens.
And you see things differently. You see a different light is shed on it.

“Heron and Olympiodorus had pointed out in antiquity that, in reflection, light followed the shortest possible path, thus accounting for the equality of angles. During the medieval period Alhazen and Grosseteste had suggested that in refraction some such principle was also operating, but they could not discover the law.”

Carl B. Boyer (1906–1976) American mathematician

Source: The Rainbow: From Myth to Mathematics (1959), p. 205
Context: Fermat had recourse to the principle of the economy of nature. Heron and Olympiodorus had pointed out in antiquity that, in reflection, light followed the shortest possible path, thus accounting for the equality of angles. During the medieval period Alhazen and Grosseteste had suggested that in refraction some such principle was also operating, but they could not discover the law. Fermat, however, not only knew (through Descartes) the law of refraction, but he also invented a procedure—equivalent to the differential calculus—for maximizing and minimizing a function of a single variable. … Fermat applied his method … and discovered, to his delight, that the result led to precisely the law which Descartes had enunciated. But although the law is the same, it will be noted that the hypothesis contradicts that of Descartes. Fermat assumed that the speed of light in water to be less than that in air; Descartes' explanation implied the opposite.

Law , Light

“What vision must Negro writers have before their eyes in order to feel the impelling necessity for an about face? What angle of vision can show them all the forces of modern society in process, all the lines of economic development converging toward a distant point of hope? Must they believe in some `ism?”

Richard Wright (1908–1960) African-American writer

"Blueprint" 45
White Man, Listen! (1957)

Hope , Feeling , Distant

“It was a long way down. Before she had gone very far the curious dizziness she had known before came over her again, a dizziness not entirely induced by the spirals she whirled around, but a deeper, atomic unsteadiness as if not only she but also the substances around her were shifting. There was something queer about the angles of those curves. She was no scholar in geometry or aught else, but she felt intuitively that the bend and slant of the way she went were somehow outside any other angles or bends she had ever known. They led into the unknown and the dark, but it seemed to her obscurely that they led into deeper darkness and mystery than the merely physical, as if, though she could not put it clearly even into thoughts, the peculiar and exact lines of the tunnel had been carefully angled to lead through poly-dimensional space as well as through the underground—perhaps through time, too.”

C. L. Moore (1911–1987) American author

Black God's Kiss (1934); pp. 10-11
Short fiction, Jirel of Joiry (1969)

Way , Time

“Poetry, with the breath of the poet, the heart of her life, joined by millions, pushes forth with the creative forces bestowed upon us. A wall is a plaything before the positive. It will take time. Change comes — rumbling with letters and caesuras, chants, odd-angled rhymes and earthy people power.”

Juan Felipe Herrera (1948) American writer

On the U.S.-Mexican border wall issue in “Poetry is Built for Compassion: An Interview with Juan Felipe Herrera” https://thi.ucsc.edu/poetry-built-compassion-interview-juan-felipe-herrera/ (Humanities Institute, UC Santa Cruz; 2019 Feb 27)

Time , People , Heart , Life

“I was encouraged to look around me and to paint what I saw. I painted my story, and it had a lot of angles to it. I was trying to explain how I saw life as a black person living in America, and I put things together that were not acceptable. A lot of people did not want these kind of paintings representing America in any sense, but I wanted to tell my story and what I saw…”

Faith Ringgold (1930) American artist

On the Civil Rights Movement puncturing the image of the American Dream in https://www.theartnewspaper.com/interview/faith-ringgold-discusses-civil-rights-and-children-s-books-ahead-of-solo-serpentine-gallery-show in The Art Newspaper (2019 Jun 5)

Painting , Personality , People , Sense

“Let the letters a b c denote the three angular points of a rectilineal triangle. If the point did move continuously over the lines ab, bc, ca, that is, over the perimeter of the figure, it would be necessary for it to move at the point b in the direction ab, and also at the same point b in the direction bc. These motions being diverse, they cannot be simultaneous. There-fore, the moment of presence of the movable point at vertex b, considered as moving in the direction ab, is different from the moment of presence of the movable point at the same vertex b, considered as moving in the same direction bc. But between two moments there is time; therefore, the movable point is present at point b for some time, that is, it rests. Therefore it does not move continuously, which is contrary to the assumption. The same demonstration is valid for motion over any right lines including an assignable angle. Hence a body does not change its direction in continuous motion except by following a line no part of which is straight, that is, a curve, as Leibnitz maintained.”

Immanuel Kant (1724–1804) German philosopher

Kant's Inaugural Dissertation (1770), Section III On The Principles Of The Form Of The Sensible World

Time , Parting , Change

“If two right lines cut one another, they will form the angles at the vertex equal.”

Proclus (412–485) Greek philosopher

...
This... is what the the present theorem evinces, that when two right lines mutually cut each other, the vertical angles are equal. And it was first invented according to Eudemus by Thales...
Proposition XV. Thereom VIII.
The Philosophical and Mathematical Commentaries of Proclus on the First Book of Euclid's Elements Vol. 2 (1789)

“He left in his Optics, the earliest surviving table of angles of refraction from air to water. …This table, quoted and requoted until modern times, has been admired… A closer glance at it, however, suggests that there was less experimentation involved in it than originally was thought, for the values of the angles of refraction form an arithmetic progression of second order… As in other portions of Greek Science, confidence in mathematics was here greater than that in the evidence of the senses, although the value corresponding to 60° agrees remarkably well with experience.”

Ptolemy (100–170) Greco-Egyptian writer and astronomer of Alexandria

Carl B. Boyer, in The Rainbow: From Myth to Mathematics (1959)

Confidence , Time , Self-confidence , Water

“Yeah, our view of reality, the one we conventionally take, is one among many. It’s pretty much a fact that our entire universe is a mental construct. We don’t actually deal with reality directly. We simply compose a picture of reality from what’s going on in our retinas, in the timpani of our ears, and in our nerve endings. We perceive our own perception, and that perception is to us the entirety of the universe. I believe magic is, on one level, the willful attempt to alter those perceptions. Using your metaphor of an aperture, you would be widening that window or changing the angle consciously, and seeing what new vistas it affords you.”

Alan Moore (1953) English writer primarily known for his work in comic books

The Believer interview (2013)

Universe , Reality , Change

“Many people in this world speak of peace from different angles. Some speak of peace as a result of good socio-economic policies, or as a result of a sound distribution of wealth. Prem speaks of peace from a perspective that is both original and intriguing. Rather than to look only to institutions or to policies for creating peace, he speaks of a peace that, he says, each person is personally responsible for finding. Despite ever-growing audiences, his message remains directed at each individual who comes to hear him and the people who enjoy his message come from all walks of life.”

Prem Rawat (1957) controversial spiritual leader

Dr. Pages, Chief Executive Officer Universal Forum of Cultures, Barcelona, Spain. June 14, 2004
About, 2000s

Peace , Personality , Wealth , People

“Everybody has an angle.”

Steven Crowder (1987) American actor

“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....”

Alexander Calder (1898–1976) American artist

1920s, Excerpt, Statement on Wire Sculpture (1929)

Study , Feeling

“The mere formulation of a problem is far more often essential than its solution, which may be merely a matter of mathematical or experimental skill. To raise new questions, new possibilities, to regard old problems from a new angle requires creative imagination and makres real advances in science.”

Albert Einstein (1879–1955) German-born physicist and founder of the theory of relativity

http://umich.edu/~scps/html/01chap/html/summary.htm
Attributed in posthumous publications, Einstein and Religion (1999)

Imagination , Question , Problem , Mathematics

“There were security angles, political angles, personal angles—how many angles could dance on the head of a pin?”

Lois McMaster Bujold Vorkosigan Saga

Source: Vorkosigan Saga, Diplomatic Immunity (2002), Chapter 4 (p. 52)

Personality , Dance

“Nature shouldn’t be able to do this, Sunday thought. It shouldn’t be able to produce something that resembled the work of directed intelligence, something artful, when the only factors involved were unthinking physics and obscene, spendthrift quantities of time. Time to lay down the sediments, in deluge after deluge, entire epochs in the impossibly distant past when Mars had been both warm and wet, a world deluded into thinking it had a future. Time for cosmic happenstance to hurl a fist from the sky, punching down through these carefully superimposed layers, drilling through these carefully superimposed layers, drilling the geological chapters like a bullet through a book. And then yesterday more time—countless millions of years—for wind and dust to work their callous handiwork, scouring and abrading, wearing the exposed layers back at subtly different rates depending on hardness and chemistry, util these deliberate-looking right-angled steps and contours began to assume grand and imperial solidity, rising from the depths like the stairways of the gods.
Awe-inspiring, yesterday. Sometimes it was entirely right and proper to be awed. And recognising the physics in these formations, the hand of time and matter and the nuclear forces underpinning all things, did not lessen that feeling. What was she, ultimately, but the end product of physics and matter? And what was her art but the product of physics and matter working on itself?”

Alastair Reynolds book Blue Remembered Earth

Source: Blue Remembered Earth (2012), Chapter 17 (pp. 292-293)

Dependency , God , Books , World

“When you meet people, no matter what opinion you might have formed about them beforehand, why, after you meet them and see their angle and their personality, why, you can see a lot of good in all of them.”

Will Rogers (1879–1935) American humorist and entertainer

On Leon Trotsky Saturday Evening Post (6 November 1926) - note that Rogers specifically spelled the word "dident"
Context: I bet you if I had met him and had a chat with him, I would have found him a very interesting and human fellow, for I never yet met a man that I dident like. When you meet people, no matter what opinion you might have formed about them beforehand, why, after you meet them and see their angle and their personality, why, you can see a lot of good in all of them.

Personality , People

Quotes about angle page 3

Quotes about angle
page 3