Titlebook: Geometry by Its History; Alexander Ostermann,Gerhard Wanner Textbook 2012 Springer-Verlag Berlin Heidelberg 2012 51-01, 51-03, 01-01.Eucli

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小步舞

https://doi.org/10.1007/978-3-662-36786-5Descartes’ Geometrie, published in 1637 as an appendix to his Discours de la m′ethode (from p. 297 onwards; first separate publication Paris 1664), is one of the most influential scientific works of the 17th century. For example, it was one of the only two books1 that the young Isaac Newton owned – he read them very carefully.

抵押贷款

Die Physiologie des RückenmarksAccording to Descartes, his new geometry should have replaced all the “thick books” of the Greeks (including Euclid, Apollonius, Pappus, and the efforts to find constructions with ruler and compass; see the quotations in Chap. 6), with the only exception of the theorems of Thales and Pythagoras.

Heterodoxy

Die Physiologie der „inneren Sekretion“Spatial geometry starts in Book XI of Euclid’s Elements with a long list of definitions and boring propositions. It is here that analytic geometry shows its full power: one simply adds a third coordinate z. If you know how to calculate with two variables, you can also calculate with three.

强行引入

Einführung in die Physiologische EmbryologiePerspective is concerned with the problem of representing a three dimen-sional object, for example the box in Fig. 11.2 (left), on a two dimensional canvas.

欢乐东方

Further Results in Euclidean GeometryEuclidean geometry is the oldest field of mathematics. The great thinkers during all these centuries accumulated an enormous treasure of beautiful ideas and results. We take pleasure in presenting some of them in this section.

欢乐东方

Medley

CRP743

Spatial Geometry and Vector AlgebraSpatial geometry starts in Book XI of Euclid’s Elements with a long list of definitions and boring propositions. It is here that analytic geometry shows its full power: one simply adds a third coordinate z. If you know how to calculate with two variables, you can also calculate with three.

VOC