A Quote by Voltaire
Descartes constructed as noble a road of science, from the point at which he found geometry to that to which he carried it, as Newton himself did after him. ... He carried this spirit of geometry and invention into optics, which under him became a completely new art.
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About Thomas Hobbes: He was 40 years old before he looked on geometry; which happened accidentally. Being in a gentleman's library, Euclid's Elements lay open, and "twas the 47 El. libri I" [Pythagoras' Theorem]. He read the proposition "By God", sayd he, "this is impossible:" So he reads the demonstration of it, which referred him back to such a proposition; which proposition he read. That referred him back to another, which he also read. Et sic deinceps, that at last he was demonstratively convinced of that truth. This made him in love with geometry.
The full impact of the Lobachevskian method of challenging axioms has probably yet to be felt. It is no exaggeration to call Lobachevsky the Copernicus of Geometry [as did Clifford], for geometry is only a part of the vaster domain which he renovated; it might even be just to designate him as a Copernicus of all thought.
I conceived, developed and applied in many areas a new geometry of nature, which finds order in chaotic shapes and processes. It grew without a name until 1975, when I coined a new word to denote it, fractal geometry, from the Latin word for irregular and broken up, fractus. Today you might say that, until fractal geometry became organized, my life had followed a fractal orbit.
The concept of congruence in Euclidean geometry is not exactly the same as that in non-Euclidean geometry. ..."Congruent" means in Euclidean geometry the same as "determining parallelism," a meaning which it does not have in non-Euclidean geometry.
So if the worth of the arts were measured by the matter with which they deal, this art-which some call astronomy, others astrology, and many of the ancients the consummation of mathematics-would be by far the most outstanding. This art which is as it were the head of all the liberal arts and the one most worthy of a free man leans upon nearly all the other branches of mathe matics. Arithmetic, geometry, optics, geodesy, mechanics, and whatever others, all offer themselves in its service.
In the same way a Christian is not a man who never goes wrong, but a man is enabled to repent and pick himself up and begin over again after each stumble--because the Christ-life is inside him, repairing him all the time, enabling him to repeat (in some degree) the kind of voluntary death which Christ Himself carried out." - Mere Christianity
Fundamentally only two great novelties have come out of recent warfare. They are: (1) mechanical vehicles, which relieve the Soldier of equipment hitherto carried by him; (2) air supply, which relieves the vehicle of the road.
The analytical geometry of Descartes and the calculus of Newton and Leibniz have expanded into the marvelous mathematical method
The best that Gauss has given us was likewise an exclusive production. If he had not created his geometry of surfaces, which served Riemann as a basis, it is scarcely conceivable that anyone else would have discovered it. I do not hesitate to confess that to a certain extent a similar pleasure may be found by absorbing ourselves in questions of pure geometry.
Jackson went from the professor's chair to the officer's saddle. He carried with him the very elements of character which made him odious as a teacher; but I never saw him in an arbitrary mood.
It is because of the servility of photography that I am fundamentally contemptuous of this chance invention which will never be an art but which plagiarizes nature by means of optics. (1848)
The concept of guilt is found most powerfully developed even in the most primitive communal forms which we know... the man is guilty who violates one of the original laws which dominate the society and which are mostly derived from a divine founder; the boy who is accepted into the tribal community and learns its laws, which bind him thenceforth, learns to promise; this promise is often given under the sign of death, which is symbolically carried out on the boy, with a symbolical rebirth.
I was allergic to school. I was completely befuddled by school. I was trying so hard, but I couldn't succeed. I took geometry for four years, the same course over and over again, and I did not graduate with my senior class. I finally passed geometry after doing summer school, and eventually, I graduated.
The description of right lines and circles, upon which geometry is founded, belongs to mechanics. Geometry does not teach us to draw these lines, but requires them to be drawn.
In the meantime, most noble Sir, you have assigned this question to the geometry of position, but I am ignorant as to what this new discipline involves, and as to which types of problem Leibniz and Wolff expected to see expressed in this way.
There was an aura about him (Joe DiMaggio). He walked like no one else walked. He did things so easily. He was immaculate in everything he did. Kings of State wanted to meet him and be with him. He carried himself so well. He could fit in any place in the world.
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