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Elements of geometry : containing the first six books of Euclid, with a supplement on the quadrature of the circle, and the geometry of solids : to which are added, Elements of plane and spherical geometry (1826)

Playfair, John, 1748-1819, Euclid · Philadelphia : Marot & Walter · leaf 182

An illustration from Elements of geometry : containing the first six books of Euclid, with a supplement on the quadrature of the circle, and the geometry of solids : to which are added, Elements of plane and spherical geometry, 1826, leaf 182
icular to the other also. PROP. XIV. THEOR. If tvvo parallel planes be cut by another plane, their com-mon sections with it are parallels. Let the parallel planes AB, CD be cut by the plane EFHG, andlet their common sections withit be EF, GH; EF is paralleltoGH. For the straight lines EPand GH are… … 1«2 SUPPLEMENT TO THE ELEMENTS PROP. XV. THEOR. !lf two parallel planes be cut by a tbird plane, they havethe same inclination to that plane. Let AB and CD be two parallel |ilane?, and EH a third plane cut-tinji them: The planes AB and CD are equally inclined to EH. Let the straight lines EF and GH…

Euclid's Elements · Geometry · Trigonometry

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