Legendre, A. M. (Adrien Marie), 1752-1833, Brewster, David, Sir, 1781-1868, Davies, Charles, 1798-1876 · New York, Wiley & Long · leaf 134
to that plane (Def. 1.). 31 1 ■ \ T TT \ . \ \ ^ A PROPOSITION XII. THEOPvEM. 77ie parallels comprcheTided between Vjoû parallel planes are equal. Let MX. PQ. be two parallelplanes, and FH. GE. two paral-lel lines : then will EG=FH. For, through the parallels EG,FH, draw the plane EGHF,… … H Cor. Hence it follows, that /xo parallel planes are everywhere equidistant : for, suppose EG were perpendicular to theplane PQ ; the parallel FH would also be perpendicular to it(Prop. VH.), and the two parallels would likewise be perpen-dicular to the plane MX (Prop. XI.) : and being parallel,…
Trigonometry · Geometry
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