Geometrician Quotes
An irresistible passion that would induce me to believe in innate ideas, and the truth of prophecy, has decided my career. I have always loved liberty with the enthusiasm which actuates the religious man with the passion of a lover, and with the conviction of a geometrician.
Gilbert du Motier, Marquis de Lafayette
Diogenes the cynic, seeing one of the so-called freedmen pluming himself, while many heartily congratulated him, marveled at the absence of reason and discernment. "A man might as well,” he said, "proclaim that one of his servants became a grammarian, a geometrician, or musician, when he has no idea whatever of the art.” For as the proclamation cannot make them men of knowledge, so neither can it make them free.
Philo
Diogenes the cynic, seeing one of the so-called freedmen pluming himself, while many heartily congratulated him, marveled at the absence of reason and discernment. "A man might as well,” he said, "proclaim that one of his servants became a grammarian, a geometrician, or musician, when he has no idea whatever of the art.” For as the proclamation cannot make them men of knowledge, so neither can it make them free.
Diogenes of Sinope
Logic teaches us that on such and such a road we are sure of not meeting an obstacle; it does not tell us which is the road that leads to the desired end. For this, it is necessary to see the end from afar, and the faculty which teaches us to see is intuition. Without it, the geometrician would be like a writer well up in grammar but destitute of ideas.
Henri Poincaré
An irresistible passion that would induce me to believe in innate ideas, and the truth of prophecy, has decided my career. I have always loved liberty with the enthusiasm which actuates the religious man with the passion of a lover, and with the conviction of a geometrician. On leaving college, where nothing had displeased me more than a state of dependance, I viewed the greatness and the littleness of the court with contempt, the frivolities of society with pity, the minute pedantry of the army with disgust, and oppression of every sort with indignation. The attraction of the American revolution transported me suddenly to my place. I felt myself tranquil only when sailing between the continent whose powers I had braved, and that where, although our arrival and our ultimate success were problematical, I could, at the age of nineteen, take refuge in the alternative of conquering or perishing in the cause to which I had devoted myself.
Gilbert du Motier, Marquis de Lafayette
It is not known so generally that Kepler was... a geometrician and algebraist of considerable power, and that he, Desargues, and perhaps Galileo, may be considered as forming a connecting link between the mathematicians of the renaissance and those of modern times. Kepler's work in geometry consists rather in certain general principles enunciated, and illustrated by a few cases, than in any systematic exposition of the subject. In a short chapter on conics inserted in his Paralipomena, published in 1604, he lays down what has been called the principle of continuity, and gives as an example the statement that a parabola is at once the limiting case of an ellipse and of a hyperbola; he illustrates the same doctrine by reference to the foci of conics (the word focus was introduced by him); and he also explains that parallel lines should be regarded as meeting at infinity. He introduced the use of the eccentric angle in discussing properties of the ellipse.
Johannes Kepler