“If in two ellipses having a common major axis we take two such arcs that their chords are equal, and that also the sums of the radii vectores, drawn respectively from the foci to the extremities of these arcs, are equal to each other, then the sectors formed in each ellipse by the arc and the two radii vectores are to each other as the square roots of the parameters of the ellipses.”

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

Source: Factotum (1975), Ch. 56
Context: The bus ran along a very narrow strip of cement that stood up out of the water with no guard-rail, no nothing; that's all there was to it. The bus driver leaned back and we roared along over this narrow cement strip surrounded by water and all the people in the bus, the twenty-five or forty or fifty-two people trusted him, but I never did. Sometimes it was a new driver, and I thought, how do they select these sons of bitches? There's deep water on both sides of us and with one error of judgement he'll kill us all. It was ridiculous. Suppose he had an argument with his wife that morning? Or cancer? Or visions of God? Bad teeth? Anything. He could do it. Dump us all. I knew that if I was driving that I would consider the possibility or desirability of drowning everybody. And sometimes, after just such considerations, possibility turns into reality. For each Joan of Arc there is a Hitler perched at the other end of the teeter-totter. The old story of good and evil. But none of the bus drivers ever dumped us. They were thinking instead of car payments, baseball scores, haircuts, vacations, enemas, family visits. There wasn't a real man in the whole shitload.

"Gauss's Abstract of the Disquisitiones Generales circa Superficies Curvas presented to the Royal Society of Gottingen" (1827) Tr. James Caddall Morehead & Adam Miller Hiltebeitel in General Investigations of Curved Surfaces of 1827 and 1825 http://books.google.com/books?id=SYJsAAAAMAAJ& (1902)

(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

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

Laws of Motion, III
Philosophiæ Naturalis Principia Mathematica (1687)

Ausdehnungslehre (1844)

As translated and quoted in John Freely, Before Galileo: The Birth of Modern Science in Medieval Europe (2012), in chapter 58, at an unspecified page.
Mysterium Cosmographicum (1596), Astronomia nova (1609)

Source: 1960s, Presentation to U.S. Congressional Sub-Committee on World Game (1969), p. 14
Context: I will give you one very simple example of synergy. All our metallic alloys are synergetic. We will examine chrome-nickel steel. The outstanding characteristic of metallic strength is its ability to cohere in one piece. We test the metals tensile strength per square inch of cross section of the tested sample. The very high number of pounds-per-square-inch tensile strength of chrome-nickel steel has changed our whole economy because it retained its structural integrity at so high a temperature as to make possible the jet engine which has halved the time it takes to fly around the world. The prime constituents are chromium, nickel, and iron. We will take the highest ultimate tensile strength of those three. The iron’s ultimate tensile strength is about 60,000 pounds per square inch. Nickel’s ultimate is about 80,000 p. s. i. Chromium is about 70,000 p. s. i. Ultimate tensile strengths of the other minor constituents: carbon, manganese, et cetera, added together total about 40,000 psi. If we use the same tensile logic as that applied to a chain and say that a chain is no stronger than its weakest link, then we would assume that chrome-nickel steel would part at between 40,000 and 60,000 p. s. i. But we find experimentally that is not the case. We find by test that chrome-nickel steel is 350,000 pounds a square inch which is 50 percent stronger than the sum of the strength of all its alloys. To prove so we add 60,000, 70,000 and 80,000 which comes to 210,000. To this we add the 40,000 of minor alloying constituents which brings the sum of the strengths of all its alloying to only 250,000 pounds a square inch. The explanation for this is Newton’s gravitational law which noted the experimentally proven fact that the relative mass attraction of one body for another is proportioned to the second power of the relative proximity of the two bodies as expressed in the relative diameters of the two bodies. If we have two spherical bodies of equal mass at a given distance from each other and insert a third spherical body of the same mass half way between the two we do not double the mass attraction between any two of the three. We increase the attraction by 2 to the second power which is 4. Halving the distance fourfolds the inter-mass attraction. When we bring a galaxy of iron atoms together with the chromium atoms and a galaxy of nickel atoms they all fit neatly between one another and bring about the multifolding of their intercoherency. But there is nothing in one body by itself that says that it will have mass attraction. This can only be discovered by experimenting with two and more bodies. And even then there is no explanation of why there must be mass attraction and why it should increase as the second power of the relative increase of proximity. That is synergy.