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Lectures on fundamental concepts of algebra and geometry (1911)

Young, John Wesley, 1879-1932, Denton, William Wells, Mitchell, Ulysses Grant · New York : Macmillan · leaf 158

An illustration from Lectures on fundamental concepts of algebra and geometry, 1911, leaf 158
sceles.The only thing thatis wrong in thisdemonstration is thefigures. Accordingto Euclids axiomsand postulates alone, the demonstration is absolutely valid. As a matterof fact, the point 0 will always lie outside the triangleABC, and, of the two points F and E, one will always liewithin, the other… … Fig. 17 LECTURE XIVHILBERTS ASSUMPTIONS (Continued) Assumptions of Congruence.—The third group of assumptionsin Hilberts set involve a new undefined relation betweenlinear intervals and angles (the latter term will presentlybe defined), which is expressed by the word congruent. Thisrelation is…

Algebra · Geometry

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