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Sciences Library QA 495 Geometry, at once ancient and modern, is the science of Euclid, Archimedes and A pollonius, of Kepler, Desargues, Newton and Poncelet. Geome. vj trical processes have indeed been simplified and their applications greatly extended in recent times, but the modern methods may be traced to the ancient as their germ and source, and thus it remains in a sense still true that there is but one road for all, vrf yewpe Tpia Trda-iv eariv 0809 pia. The modern infinitesimal calculus is an adaptation of the ancient method of exhaustions, the method of Descartes differs only in the manner of its application from that of A pollonius, the idea of perspective was already formulated by Serenus, and the principle of anharmonic section with the leading properties of transversals are found in the lemmas of Pappus to the lost three books of Porisms of Euclid.
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