 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 57by William Schofield Binns - 1861Full view - About this book
 | John Playfair - Mathematics - 1806 - 320 pages
...through DE, EF, and has been proved to be perpendicular to the plane through AB, BC. m. PROP. XIV. THEOR. IF two parallel planes be cut by another plane, their common sections with it are parallel. Let the parallel planes AB, CD be cut by the plane EFHG, and let their common sections with it be EF,... | |
 | Robert Simson - Trigonometry - 1806 - 546 pages
...Wherefore, if two straight lines, &c. QED c 3. def. 11. d 9. 11. Book XI. PROP. XVI. THEOR. See N. 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... | |
 | Euclides - 1814 - 560 pages
...parallel to the plane through DE, EF. Wherefore if two straight lines, &c. QED Borne PROP. XVI. THEOR. lT 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... | |
 | Euclides - 1816 - 588 pages
...parallel to the plane through DE, EF. Where/one if two straight lines, &c. QED PROP. XVI. THEOR. See N. 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... | |
 | John Mason Good - 1819 - 800 pages
...plane which passes through these is parallel to the plane pasting through the other*. Prop. XVI. Theor. If two parallel planes be cut by another plane, their common sections with it are parallels. Prop. XVII. Theor. If two straight lines be cut by parallel planes, they shall be cut in... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...be perpendicular to one of them, it must be perpendicular to the other also. PROP. XIV. THEOR. B G 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... | |
 | John Playfair - 1819 - 354 pages
...perpendicular to one of them, it must be perpendicular to the other also. PROP. XIV. THEOR. ff t-eo 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 lei their common sections with... | |
 | Euclid - 1835 - 540 pages
...to the plane through DE, EF. Wherefore, " if two straight lines," &c. QED See N. PROP. XVI. THEOH. 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... | |
 | Mathematics - 1836 - 488 pages
...plane which passes through the first two is parallel to the plane riassing through the others. XIV. If two parallel planes be cut by another plane, their common sections with it are parallels. XV. If two parallel planes be cut by a third plane, they have the same inclination to that... | |
 | John Playfair - Euclid's Elements - 1837 - 332 pages
...perpendicular to one of them, it must be perpendicular to the other also. 189 ^x B c 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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