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 108
w OPand OP. Now 00 being a straight line, is less than OPO, a broken line.Subtracting OA from the former, and its equal OP from the latter, we have AO< PO. When A falls at 0 the truth is self-evident. When A lies beyond O,as in M, let P be any other point in M, and draw OP and OP. Now OP +00… … Fig. 144. 88 ELEMENTARY PLANE GEOMETRY. figure, let P be any other point in the circumference than H, and draw OPand OP. >ow, PO + 00 > PO. But PO = HO. Hence HO + 00 (=HO) > PO PROPOSITION IT. 183. Theorem.— When tlie distance between the centres of twocircles is greater than the sum of…
Geometry · Trigonometry
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