Quotes about cone (34 quotes) | Quotes of famous people

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

Knowledge

“Proposition 1. Two equal spheres are comprehended by one and the same cylinder, and two unequal spheres by one and the same cone which has its vertex in the direction of the lesser sphere; and the straight line drawn through the centres of the spheres is at right angles to each of the circles in which the surface of the cylinder, or of the cone, touches the spheres.”

Aristarchus of Samos ancient Greek astronomer and mathematician

p, 125
On the Sizes and Distances of the Sun and the Moon (c. 250 BC)

“Eudoxes… not only based the method [of exhaustion] on rigorous demonstration… but he actually applied the method to find the volumes (1) of any pyramid, (2) of the cone, proving (1) that any pyramid is one third part of the prism which has the same base and equal height, and (2) that any cone is one third part of the cylinder which has the same base and equal height. Archimedes, however, tells us the remarkable fact that these two theorems were first discovered by Democritus, though he was not able to prove them (which no doubt means, not that he gave no sort of proof, but that he was not able to establish the propositions by the rigorous methods of Eudoxes. Archimedes adds that we must give no small share of the credit for these theorems to Democritus… another testimony to the marvellous powers, in mathematics as well as in other subjects, of the great man who, in the words of Aristotle, "seems to have thought of everything"…. Democritus wrote on irrationals; he is also said to have discussed the question of two parallel sections of a cone (which were evidently supposed to be indefinitely close together), asking whether we are to regard them as equal or unequal… Democritus was already close on the track of infinitesimals.”

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

Achimedes (1920)

Mathematics , Question , Parting

“Hoyt began moving his lips as if he were trying to suck the ice cream off the top of a cone without using his teeth. She tried to make her lips move in sync with his. The next thing she knew, Hoyt had put his hand sort of under her thigh and hoisted her leg up over his thigh. What was she to do? Was this the point she should say, “Stop!”? No, she shouldn’t put it that way. It would be much cooler to say, “No, Hoyt,” in an even voice, the way you would talk to a dog that insists on begging at the table.
Slither slither slither slither went the tongue, but the hand that was what she tried to concentrate on, the hand, since it has the entire terrain of her torso to explore and not just the otorhinolaryngological caverns – oh God, it was not just at the border where the flesh of the breast joins the pectoral sheath of the chest – no, the hand was cupping her entire right – Now! She must say “No, Hoyt” and talk to him like a dog[…]”

Tom Wolfe (1930–2018) American author and journalist

Source: I am Charlotte Simmons (2004), p. 368-9, winner of the 12th annual The Literary Review Bad Sex Award

God , Dogs , Way

“I am the Eschaton. I am not your God.
I am descended from you, and exist in your future.
Thou shalt not violate causality within my historic light cone. Or else.”

Charles Stross book Singularity Sky

Source: Singularity Sky (2003), Chapter 6, “Telegram from the Dead” (p. 132)

God , Light , Future

“Archytas of Tarentum found the two mean proportionals by a very striking construction in three dimensions, which shows that solid geometry, in the hands of Archytas at least, was already well advanced. The construction was usually called mechanical, which it no doubt was in form, though in reality it was in the highest degree theoretical. It consisted in determining a point in space as the intersection of three surfaces: (a) a cylinder, (b) a cone, (c) an "anchor-ring" with internal radius = 0.”

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

Achimedes (1920)

Reality

“Proposition 3. The circle in the moon which divides the dark and the bright portions is least when the cone comprehending both the sun and the moon has its vertex at our eye.”

Aristarchus of Samos ancient Greek astronomer and mathematician

p, 125
On the Sizes and Distances of the Sun and the Moon (c. 250 BC)

Sun

“Wallis was in sympathy with Greek mathematics and astronomy, editing parts of the works of Archimedes, Eutocius, Ptolemy, and Aristarchus; but at the same time he recognized the fact that the analytic method was to replace the synthetic, as when he defined a conic as a curve of the second degree instead of as a section of a cone, and treated it by the aid of coordinates.”

David Eugene Smith (1860–1944) American mathematician

History of Mathematics (1923) Vol.1

Mathematics , Time , Parting

“If the earth is millions of years old, why don’t we have a fifty thousand year old Bristle Cone Pine tree someplace or a half a million year old? The age of the oldest living thing in the biosphere, the Bristle Cone Pine, indicates a young age for the earth. The evolutionists don’t look at that one because that doesn’t support their theory.”

Kent Hovind (1953) American young Earth creationist

Dissertation for doctor of philosophy in christian education (May 25, 1991)

Age , Support , Tree

“Proposition 13. The straight line subtending the portion intercepted within the earth's shadow of the circumference of the circle in which the extremities of the diameter of the circle dividing the dark and the bright portions in the moon move is less than double of the diameter of the moon, but has to it a ratio greater than that which 88 has to 45; and it is less than 1/9th part of the diameter of the sun, but has to it a ratio greater than that which 22 has to 225. But it has to the straight line drawn from the centre of the sun at right angles to the axis and meeting the sides of the cone a ratio greater than that which 979 has to 10125.”

Aristarchus of Samos ancient Greek astronomer and mathematician

p, 125
On the Sizes and Distances of the Sun and the Moon (c. 250 BC)

Sun , Parting

“Proposition 8. When the sun is totally eclipsed, the sun and the moon are then comprehended by one and the same cone which has its vertex at our eye.”

Aristarchus of Samos ancient Greek astronomer and mathematician

p, 125
On the Sizes and Distances of the Sun and the Moon (c. 250 BC)

Sun

“And we must invent dynamic designs to go with them and express them in equally dynamic shapes: triangles, cones, spirals, ellipses, circles, etc.”

Giacomo Balla (1871–1958) Italian artist

(Manuscript, 1914); as quoted in Futurism, ed. Didier Ottinger; Centre Pompidou / 5 Continents Editions, Milan, 2008, p. 148
Futurist Manifesto of Men's clothing,' 1913/1914

“On Saturday, he ate through one piece of chocolate cake, one ice-cream cone, one pickle, one slice of Swiss cheese, one slice of salami, one lollipop, one piece of cherry pie, one sausage, one cupcake, and one slice of watermelon. That night he had a stomach ache.”

Eric Carle book The Very Hungry Caterpillar

The Very Hungry Caterpillar

Night

“A number of little birds, to the amount, I believe, of twelve or fourteen, being taken from different cages, were placed upon a table in the presence of the spectators; and there they formed themselves into ranks like a company of soldiers: small cones of paper bearing some resemblance to grenadiers caps were put upon their heads, and diminutive imitations of muskets made with wood, secured under their left wings. Thus equipped, they marched to and fro several times; when a single bird was brought forward, supposed to be a deserter, and set between six of the musketeers, three in a row, who conducted him from the top to the bottom of the table, on the middle of which a small brass cannon charged with a little gunpowder had been previously placed, and the deserter was situated in the front part of the cannon; his guards then divided, three retiring on one side, and three on the other, and he was left standing by himself. Another bird was immediately produced; and, a lighted match being put into one of his claws, he hopped boldly on the other to the tail of the cannon, and, applying the match to the priming, discharged the piece without the least appearance of fear or agitation. The moment the explosion took place, the deserter fell down, and lay, apparently motionless, like a dead bird; but, at the command of his tutor he rose again; and the cages being brought, the feathered soldiers were stripped of their ornaments, and returned into them in perfect order.”

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

pg. 250
The Sports and Pastimes of the People of England (1801), Public entertainment

Fear , Bird , Light , Appearance

“Not everyone is concerned with the deep future,” Manfred interrupts. “It’s important! If we live or die, that doesn’t matter—that’s not the big picture. The big question is whether information originating in our light cone is preserved, or whether we’re stuck in a lossy medium where our very existence counts for nothing. It’s downright embarrassing to be a member of a species with such a profound lack of curiosity about its own future, especially when it affects us all personally! I mean, if there’s going to come a time when there’s nobody or nothing to remember us then what does –”
“Manfred?”

Charles Stross book Accelerando

He stops in midsentence, his mouth open, staring dumbly.
Source: Accelerando (2005), Chapter 8 (“Elector”), pp. 347-348

Question , Light , Time , Future

“Further developing his first synthesis of a speeding automobile, Balla has arrived at the first plastic complex. This has revealed to us an abstract landscape of cones, pyramids, polyhedrons, spirals of mountains, rivers, lights, shadows. In short, there is a deep analogy between the essential force-lines of speed and the essential force-lines of a landscape.”

Giacomo Balla (1871–1958) Italian artist

The Futurist Reconstruction of the Universe (1915)

Mountain , Light , Speed

“My apple trees will never get across
And eat the cones under his pines, I tell him.
He only says, "Good fences make good neighbours."”

Robert Frost (1874–1963) American poet

1910s, Mending Wall (1914)

Tree

“It's like catching an ice cream cone out of the air because a child was hit by a car.”

John Oliver (1977) English comedian

" Brexit Update https://www.youtube.com/watch?v=nh0ac5HUpDU#t=0m48s" (ff. 0:00:48), June 27, 2016; on David Cameron announcing his resignation after the Brexit referendum.
Last Week Tonight (2014–present)

Cars

“A country governed by a despot is an inverted cone.”

Samuel Johnson (1709–1784) English writer

April 14, 1778
Life of Samuel Johnson (1791), Vol III

Country

“Allow me to repeat what I said when you were here: deal with nature by means of the cylinder, the sphere and the cone, all placed in perspective, so that each side of an object or a plane is directed towards a central point. Lines parallel to the horizon give breadth, a section of nature, or if you prefer, of the spectacle spread before our eyes by the 'Pater Omnipotens Aeterne Deus'. Lines perpendicular to that horizon give depth. But for us men, nature has more depth than surface, hence the need to introduce in our vibrations of light, represented by reds and yellows, enough blue tints to give a feeling of air.”

Paul Cézanne (1839–1906) French painter

Quote from Cézanne's letter to Émile Bernard, 15 April 1904; as quoted in Letters of the great artists – from Blake to Pollock, Richard Friedenthal, Thames and Hudson, London, 1963, p. 180
Quotes of Paul Cezanne, after 1900

Men , Feeling , Nature , Light

“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

“Treat nature in terms of the cylinder, the sphere, and the cone, the whole put into perspective so that each side of an object, or of a plane, leads towards a central point. Lines parallel to the horizon give breadth, whether a sections of nature, or, if you prefer, of the spectacle which Pater omnipotens aeterne Deus unfolds before your eyes. Lines perpendicular to this horizon give depth... Everything I am telling you [ Joachim Gasquet ] about - the sphere, the cone, cylinder, concave shadow – on mornings when I'm tired these notions of mine get me going, they stimulate me, I soon forget them once I start using my eyes.”

Paul Cézanne (1839–1906) French painter

Source: Quotes of Paul Cezanne, after 1900, Cézanne, - a Memoir with Conversations, (1897 - 1906), pp. 163-164, in: 'What he told me – I. The motif'

Nature , Forgetting

“From his hole so wet and drenching
a pike rose up to tree to sing

when through the greyish net of clouds
first gleam of day was seen
and at the lake the lapping waves
woke up with joyous mean
the pike rose to the spruce's crone
to take a bite at reddish cone”

Aaro Hellaakoski (1893–1952) Finnish writer, poet, geographer and teacher

Aaro Hellaakoski, "The Pike's Song," (1927), Leevi Lehto (transl.), in: Leevi Lehto. Leevi Lehto. Finnish poetry: then and now, January 2005. Published online at upenn.edu. Accessed 20-03-2013

Tree , Singing

“Every child should have mud pies, grasshoppers, water-bugs, tadpoles, frogs, mud-turtles, elderberries, wild strawberries, acorns, chestnuts, trees to climb, brooks to wade in, water-lilies, woodchucks, bats, bees, butterflies, various animals to pet, hay-fields, pine-cones, rocks to roll, sand, snakes, huckleberries and hornets and any child who has been deprived of these has been deprived of the best part of his education.
By being well acquainted with all these they come into most intimate harmony with nature, whose lessons are, of course, natural and wholesome.”

Luther Burbank (1849–1926) American botanist, horticulturist and pioneer in agricultural science

p, 125
The Training of the Human Plant (1907)

Education , Nature , Tree , Water

“They could not love anymore, they thought, just drink and pour coffee and track people down in the rain. They were living frigidly, as if in a cone of frost.”

Daniel Handler book Adverbs

Adverbs (2006), Frigidly

Love , People , Coffee , Drink

“Clouds are not spheres, mountains are not cones, coastlines are not circles, and bark is not smooth, nor does lightning travel in a straight line.”

Benoît Mandelbrot book The Fractal Geometry of Nature

The Fractal Geometry of Nature (1982), p. 1

Travel , Mountain

“You see a kid eating an ice cream cone and you notice there's no cop around and you can take the ice cream cone from him because you're bigger and walk away. You can do that. Probably there are people who do. We call them "pathological." On the other hand, if they do it within existing social structures we call them "normal." But it's just as pathological. It's just the pathology of the general society.”

Noam Chomsky (1928) american linguist, philosopher and activist

Quotes 1990s, 1990-1994
Context: Of course it's extremely easy to say, the heck with it. I'm just going to adapt myself to the structures of power and authority and do the best I can within them. Sure, you can do that. But that's not acting like a decent person. You can walk down the street and be hungry. You see a kid eating an ice cream cone and you notice there's no cop around and you can take the ice cream cone from him because you're bigger and walk away. You can do that. Probably there are people who do. We call them "pathological." On the other hand, if they do it within existing social structures we call them "normal." But it's just as pathological. It's just the pathology of the general society.

Interview with Michael Albert, January 1993 http://www.zmag.org/chomsky/interviews/9301-albchomsky-2.html.

People

“There is probably more suffering in a glass of milk or an ice cream cone than there is in a steak.”

Gary L. Francione (1954) American legal scholar

Veganism: The Fundamental Principle of the Abolitionist Movement, http://www.abolitionistapproach.com/veganism-the-fundamental-principle-of-the-abolitionist-movement/
Context: There is no meaningful distinction between eating flesh and eating dairy or other animal products. Animals exploited in the dairy industry live longer than those used for meat, but they are treated worse during their lives, and they end up in the same slaughterhouse after which we consume their flesh anyway. There is probably more suffering in a glass of milk or an ice cream cone than there is in a steak.

Suffering

“We also visited one of our great partners in the Southern Cone: Argentina. With President Mauricio Macri and our partners from Uruguay and Paraguay, we pushed ideology away from Mercosur. We also have been able to achieve important victories in terms of international trade, by successfully finalizing negotiations that had been going on for decades without a conclusion.”

Jair Bolsonaro (1955) Brazilian president elect

Speech at the at the 74th UN General Assembly. Statement by Mr. Jair Messias Bolsonaro, President of the Federative Republic of Brazil http://statements.unmeetings.org/GA74/BR_EN.pdf. United Nations PaperSmart (24 September 2019).

Victory