Manning, Henry Parker, 1859- · Boston, U.S.A., Ginn & Company · leaf 36
of the sumof two angles. The angles x and y remaining fixed, we can imagine all ofthe lines to decrease indefinitely, and the functions sx, ex, sy,etc., are the limits of certain ratios of these lines. CA _OA _ CE OB OB OA EA BABA OA OC _ _ OB OB CD BA OA = OB OA BA OA (- OC .OA in the second… … The angle EAB, or x\ is not the same as x, but differs fromx only by an amount which is proportional to the difference ofthe areas of the triangles OMC and MAB, and which, there-fore, diminishes indefinitely. Thus, the limits of sx and exare sx and ex. Finally, as the two triangles A CN and BDN…
Geometry, Non-Euclidean
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