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A treatise on special or elementary geometry (1877)

Olney, Edward, 1827-1887, Olney, Edward, 1827-1887. Elements of trigonometry, plane and spherical · New York : Sheldon · leaf 336

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ABC and ABC betwo triangles so situated that thelines AA, BB, CC meet iu the com-mon point S; then L, M, N, the in-tersections of the homologous sides,are in a right line. For the pencilS-L, B, A, C being cut by thetwo transversals LD, LD, gives[LBAD] = [LBAD] {984:). ButC-L,B,A,D, and C-UB,A,D,… … \ ^ J 994. TJieo.—If the intersection of the correspo7iding sides of twotriangles are in the same right line, the lines jjassing through theircorres2)07iding angles meet in a common 2)oint. Dem.—In the last figure, if AB and AB, AC and AC, BC and BC have their 318 INTRODUCTION TO MODERN GEOMETRY.…

Geometry · Trigonometry

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