Lectures on fundamental concepts of algebra and geometry (1911)
Young, John Wesley, 1879-1932, Denton, William Wells, Mitchell, Ulysses Grant · New York : Macmillan · leaf 157
(Fig, 15), the two right triangles AOF and AOEare congruent, since they have the side .40 in common and 144 CONCEPTS OP ALGEBRA AND GEOMETRY their two angles at A are equal by construction. We have, therefore, AFz= AE, also 0F= OE. Similarly, the two right triangles OCD and OBD are congru-ent,… … FiQ. 16 triangles OOF and OBE are congruent; that, therefore,EB = FC. This proves, in connection with the equalityAE= AF, by addition, the equality of the two sides AOand AB (q. e. d.). In the second case (Fig. 16), if 0 is out-side the triangle ABC, we may derive in precisely the LECTURE XIII 145…
Algebra · Geometry
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