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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 81

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 81
being produced to meet at H, and H B Ibeing drawn, the parallelogram on A C whosesides are equal and parallel foBH is equal toA E and C G together. For draw A K and C L parallel to B H, to a meet D H and FHinK and L. Since A H is a parallelogram,A K is equal to B H, and for a similar reason C L is… … BOOK THE FIRST. 63 and also A H and K I whose common base is AK. Hence theparallelograms A E and K I are equal. In like manner the paral-lelograms C G and L I are equal, and therefore A E and C G aretogether equal to A L. This proof is applied to the forty-seventh in (210).(214) The forty-seventh…

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