Manning, Henry Parker, 1859- · Boston, U.S.A., Ginn & Company · leaf 68
sponding arcs s1 j = sin n (a). 3. To MN, a given straight line, erect a perpendicular at-apoint, 0, and on this perpendicular lay off OA = y below MN,and OB and BP each equal to x above MN, x and y being anyarbitrary lengths. At P draw PR perpendicular to OP and THE ANGLE OF PARALLELISM 57… … At the point A we have four angles of parallelism:CAK=CAH=n(AC),OAK = U(y),PAH = Ii(y + 2x).Therefore, n (y) = II (A C) + BA C, and n(y + 2x) = n(AC)-BAC. Now in the right triangle ABC _ cos n( AC) cos II (y + x) = „, . > w cos BA C 1 — cos II (y + x) _ cos BA C — cos II (A C)01 1 + cosn(2/ + x)…
Geometry, Non-Euclidean
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