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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 338

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 338
ays of an harmonic pencil whose axis is kf. Andin the same manner any pair of diagonal lines form with the line F Prays of an harmonic pencil whose axis is the line drawn from / tothe intersection of the diagonal. Theorem. (40) I/F,fbe the foci of two harmonic pencils whose common axis is¥f the… … Fxy Fa:, Fxw, and fx, fy, fz being each three rays of two har-monic pencils whose common axis is Ff, the points a?, yf, z must bein the same right line (36). And in the same manner u, xf, y, z, x, y, z\y,z> must be severally in the same right line. Also the several series ofIntersection. 332…

Geometry

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