Lectures on fundamental concepts of algebra and geometry (1911)
Young, John Wesley, 1879-1932, Denton, William Wells, Mitchell, Ulysses Grant · New York : Macmillan · leaf 156
clid, it is possible, using hisaxioms and postulates alone, to derive many of the well-known paradoxes of geometry. We will give an exampleof one. A Paradox.— To *prove that every triangle is isosceles.Given any triangle ABC. We draw first the bisector of theangle A, and erect to BO a perpendicular… … Fio. 16 are not parallel, they intersect in a point 0, and we can dis-tinguish two possible cases. The point O will lie eitherwithin the triangle ABC or without it. In either case, wedraw straight lines OE and OF perpendicular to AB andAC respectively and join 0 to the points B and C. In thefirst…
Algebra · Geometry
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