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In Euclidean geometry, constructions are made with ruler and compass. In projective geometry one never measures anything, instead, one relates one set of points to another by a projectivity. The concluding chapters show the connections among projective, Euclidean, and analytic geometry.
This textbook introduces non-Euclidean geometry, and the third edition adds a new chapter, including a description of the two families of 'mid-lines' between two given lines and an elementary derivation of the basic formulae of spherical trigonometry and hyperbolic trigonometry, and other new material.
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