An elementary treatise on modern pure geometry (1893)
Lachlan, Robert · London, New York, Macmillan and Co. · leaf 195
r-diagonal. If three of these points sect in that centre. If three of thesebe coUinear, so also wiU be the other hnes be concurrent, so also will bethree points. (§ 153.) the other three lines. L. 12 178 RECIPROCATION OF Reciprocation applied to metrical propositions. 291. Let A, Bhe any two points… … Then p.AB = OA.OB.BmAOB. But since a, b are the polars of A and B, 0a.OA = 0b.OB = r;and sin A OB = sin ab. Therefore if a and b intersect in P, -n r.OP . ,AB = 7^—7^ sm ab; and Oa.oy 292. Let A be any point, and a; any line of a figure; and leta be the corresponding line, and X the corresponding…
Geometry
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