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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 212

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 212 — . For if AN be drawnand produced to meet a perpendicular throughZ at X, we shall have B Z = Z X. ForA B : B N = A Z : Z X. But also bywhat has just been proved A B : A Z =B N : B Z, and alt. AB:BN=AZ:BZ. B Z = Z X. Hence Z A is the sum ofthe series whose first term is B Z and second term B N. Thus… … 194 ELEMENTS OF EUCLID.

Geometry

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