To give here an elaborate account of Pappus would be to create a false impression. His work is only the last convulsive effort of Greek geometry which was now nearly dead and was never effectually revived. It is not so with Ptolemy or Diophantus. The trigonometry of the former is the foundation of a new study which was handed on to other nations indeed but which has thenceforth a continuous history of progress.
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account dead effort false geometry history last now study trigonometry work PtolemyRelated quotes
The institution of marriage in all societies is a pattern within which the strains put by civilization on males and females alike must be resolved, a pattern within which men must learn, in return for a variety of elaborate rewards, new forms in which sexual spontaneity is still possible, and women must learn to discipline their receptivity to a thousand other considerations.
Margaret Mead
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.
Benoît Mandelbrot
'War,' says Machiavelli, 'ought to be the only study of a prince' and by a prince he means every sort of state, however constituted. 'He ought,' says this great political doctor, 'to consider peace only as a breathing-time, which gives him leisure to contrive, and furnishes ability to execute military plans. 'A meditation on the conduct of political societies made old Hobbes imagine that war was the state of nature.
Edmund Burke
In the penultimate decade of the twentieth century science is sufficiently advanced to resolve the puzzles that stymied scientists in the last century and demonstrate, without metaphysical speculation, the consistency of evolution in all realms of experience. It is now possible to advance a general evolution theory based on unitary and mutually consistent concepts derived from the empirical sciences.
Ervin László
All history attests that man has subjected woman to his will, used her as a means to promote his selfish gratification, to minister to his sensual pleasures, to be instrumental in promoting his comfort; but never has he desired to elevate her to that rank she was created to fill. He has done all he could to debase and enslave her mind; and now he looks triumphantly on the ruin he has wrought, and say, the being he has thus deeply injured is his inferior.
Sarah Grimké