In Euclidean geometry, constructions are made with ruler and compass. Projective geometry is simpler: its constructions require only a ruler. In projective geometry one never measures anything, instead, one relates one set of points to another by a projectivity. The first two chapters of this book introduce the important concepts of the subject and provide the logical foundations. The third and fourth chapters introduce the famous theorems of Desargues and Pappus. Chapters 5 and 6 make use of projectivities on a line and plane, respectively. The next three chapters develop a self-contained account of von Staudt's approach to the theory of conics. The modern approach used in that development is exploited in Chapter 10, which deals with the simplest finite geometry that is rich enough to illustrate all the theorems nontrivially. The concluding chapters show the connections among projective, Euclidean, and analytic geometry.
具體描述
讀後感
用戶評價
歐幾裏得幾何要用尺規，有度量；而射影幾何隻用尺子，沒有度量隻有關聯。幾何對象與代數結構直接相連。
评分讀這本書，就像過山車，新奇又刺激。。
评分歐幾裏得幾何要用尺規，有度量；而射影幾何隻用尺子，沒有度量隻有關聯。幾何對象與代數結構直接相連。
评分歐幾裏得幾何要用尺規，有度量；而射影幾何隻用尺子，沒有度量隻有關聯。幾何對象與代數結構直接相連。
评分歐幾裏得幾何要用尺規，有度量；而射影幾何隻用尺子，沒有度量隻有關聯。幾何對象與代數結構直接相連。
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