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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 260

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 260
which intersect them be A B and C D. Draw A D and BOOK THE FIRST. 241 join the several points where the right linesmeet the planes by the lines AC, LMN,and BD. Since the planes G H and I K are parallel,and intersected by the plane BAD, the linesLM and BD are parallel (39); and sincethe planes GH… … Proposition XXIX. (55) If two right lines be not in the same plane, planes may be drawn through them which are parallel, and only two such planes can be drawn. Let the lines be AB and CD. Through any point A of theline AB draw AEparallel to CD, and through anypoint C of the line CD draw CF parallel…

Geometry

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