PrefaceI Intersections of Curves Introduction and History 1.Intersections at the Origin 2.Homogeneous Coordinates 3.Intersections in Homogeneous Coordinates 4.Lines and TangentsII Conics Introduction and History 5.Conics and Intersections 6.Pascal's Theorem 7.Envelopes of ConicsIII Cubics Introduction and History 8.Flexes and Singular Points 9.Addition on Cubics 10.Complex Numbers 11.Bezout's Theorem 12.Hessians 13.Determining CubicsIV Parametrizing Curves Introduction and History 14.Parametrizations at the Origin 15.Parametrizations of General Form 16.Envelopes of CurvesReferencesIndex
PrefaceI Intersections of Curves Introduction and History 1.Intersections at the Origin 2.Homogeneous Coordinates 3.Intersections in Homogeneous Coordinates 4.Lines and TangentsII Conics Introduction and History 5.Conics and Intersections 6.Pascal's Theorem 7.Envelopes of ConicsIII Cubics Introduction and History 8.Flexes and Singular Points 9.Addition on Cubics 10.Complex Numbers 11.Bezout's Theorem 12.Hessians 13.Determining CubicsIV Parametrizing Curves Introduction and History 14.Parametrizations at the Origin 15.Parametrizations of General Form 16.Envelopes of CurvesReferencesIndex
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While Fermat and Descartes were founding analytic geometry in the first half of the 1600s, Girard Desargues was developing a new branch of synthetic geometry called projective geometry. (查看原文)
At the start of the 1800s, Gaspard Monge inspired a revival of synthetic geometry. His student Jean-Victor Poncelet championed synthetic projective geometry as a branch of mathematics in its own right. (查看原文)
3 有用 阅微草堂 2014-10-28 17:20:46
适合低年级本科生和高中生阅读的书。逻辑清晰，但是由于工具有限（仿射坐标和相交数），导致结论都比较单薄
0 有用 eulen 2015-11-05 19:34:25
为什么没有在读了？？？赶脚我现在也就看看这种高中水平的书了。
0 有用 健康万岁 2021-12-10 20:53:53
简单明了的含义不是车轱辘话来回说