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" IF two parallel planes be cut by another plane, their common sections with it are parallels.* Let the parallel planes AB, CD be cut by the plane EFHG, and let their common sections with it be EF, GH ; EF is parallel to GH. "
A course of geometrical drawing - Page 73
by William Schofield Binns - 1861
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Solid and Spherical Geometry and Conic Sections: Being a Treatise on the ...

A. Bell - Conic sections - 1837 - 180 pages
...Therefore the plane through AB, BC, is parallel to the plane through DE, EF. PROPOSITION XIV. THEOREM. If two parallel planes be cut by another plane, their common sections with it are parallels. Let the parallel planes AB, CD, be cut by the plane EFHG, and let their common sections,...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1837 - 410 pages
...one another : therefore the planes AC, DF are parallel. Wherefore two planes, &c. PROP. XVI. THEOR. IF two parallel planes be cut by another plane, their common sections with it are parallels. Let the parallel planes, AB, CD, be cut by the plane EFHG, and let their common sections...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Geometry - 1838 - 434 pages
...is parallel to the plane through DE, EF. Wherefore, if two straight lines &c. QED PROP. XVI. THEOR. IF two parallel planes be cut by another plane, their common sections with it are parallels.* Let the parallel planes AB, CD be cut by the plane EFHG, and let their common sections...
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The Elements of Descriptive Geometry ...

Thomas Grainger Hall - Geometry, Descriptive - 1841 - 214 pages
...plane through AB, BC, and the plane through DE, EF; hence these planes are parallel. PROPOSITION XVII. If two parallel planes be cut by another plane, their common sections with it are parallels. Let the parallel planes, AB, CD, be cut by EFHG, and let EF, HG, be their common sections:...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 pages
...is parallel to the plane through DE, EF. Wherefore, if two straight lines, &c. QED PROP. XIV. THEOR. IF two parallel planes be cut by another plane, their common sections with it are parallel. 206 ELEMENTS For the straight lines EF and GH are in the same plane, viz. EFHG, which cuts the planes...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1842 - 332 pages
...and be perpendicular to one of them, it must be perpendicular to the other also. PROP. XIV. THEOR. If two parallel planes be cut by another plane, their common sections with it are parallels. Let the parallel planes AB, CD, be cut by the plane EFHG, and let their common sections...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 pages
...parallel to the plane through DE, EF. Wherefore, if two straight lines, &c. QED PROPOSITION XVI. THEOREM. If two parallel planes be cut by another plane, their common sections with it are parallels. Let the parallel planes AB, CD be cut by the plane EFHG, and let their common sections with...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - Geometry - 1845 - 218 pages
...parallel to the plane through DE, EF. Wherefore, if two straight lines, &c. QED PROPOSITION XVI. THEOR — If two parallel planes be cut by another plane, their common sections with it are parallels. Let the parallel planes AB, CD be cut by the plane EFHG, and let their common sections with...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...Therefore the plane through AB, BC, is parallel to the plane through DE, EF. F K 189 PROP. XIV. THEOR.. If two parallel planes be cut by another plane, their common sections with it are parallels. Let the parallel planes AB, CD, be cut by the plane EFHG, and let their common sections...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pages
...parallel to the plane through LIE, EF. Wherefore, If two straight lines «gc. QE n. PROP. XVI. THEOR. If two parallel planes be cut by another plane, their common sections with it are parallels. Let the parallel planes AB, CD be cut by the plane EFHG, and let their common sections with...
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