Non-Euclidean geometry; a critical and historical study of its development (1912)
Bonola, Roberto, 1874-1911, Carslaw, H. S. (Horatio Scott), 1870-1954 · LaSalle, Ill. : Open Court Publishing Co. · leaf 235
proved.Further it follows that ^ DEA = <^ DCQ;i. e.the angle Xj, opposite the side a of the triangle, is given by X^ = TT (/) = X.Finally ^ DCB == ^ DEQ; i.e. P = 17 (d,), or Ù, = a. 220 Appendix III. The Non-Euclidean Parallel Construction. Thus the correspondence between the triangle and… … Fig- 79- Then with the above notation BD = m. Draw through A the parallel to Z>0 and CBQ. Then ^ CAQ = p = n {b), and it is also equal to X + <C DA(ò = \ + TT (^ + w). We thus obtain the first of the six following equations.^ The third and fifth can be obtained in the same way. The second,…
Geometry, Non-Euclidean
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