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The first six books of the elements of Euclid : with a commentary and geometrical exercises ; to which are annexed a treatise on solid geometry, and short essays on ancient geometrical analysis, and the theory of transversals (1861)

Lardner, Dionysius, 1793-1859 · London : Print. for Taylor and Walton · leaf 337

An illustration from The first six books of the elements of Euclid : with a commentary and geometrical exercises ; to which are annexed a treatise on solid geometry, and short essays on ancient geometrical analysis, and the theory of transversals, 1861, leaf 337
pplemental orexternal angle is the axis. El. (534). Theorem. (34) If two right lines F P, FP, diverging from a given point F, inter-sect two other right lines fp,fp, diverging from another given pointf, and the lines a c, a c, and ¥ f being drawn, right lines F b, fbfrom the given points F f, be… … In the triangle c F c the transversals c a, c a, F c intersect at thesame point. Hence (16) Fa.. F V. ,Fc. Therefore (32) fa, fb,fcare rays of an harmonic pencil whose axis is/F. In like manner inthe triangle fa c, the transversals/£, a c, a c intersect at the same APPENDIX III. 331 point bf. Hence…

Geometry

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