 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
 | Woolwich roy. military acad - 1861 - 572 pages
...square on the side of the triangle, is equal to the rectangle contained by the segments of the base. 6. If two parallel planes be cut by another plane their common sections with it are parallels. A pyramid is cut by a plane which is parallel to the base ; show that the section is a figure... | |
 | Woolwich roy. military acad - 1864 - 588 pages
...this latter which, produced if necessary, pa&s through A are all bisected by the former circle. 11. If two parallel planes be cut by another plane, their common sections with it are parallel. 12. A quadrilateral is inscribed in a circle where one side is a diameter of the circle, 10 feet long,... | |
 | Euclides - 1865 - 402 pages
...plane which passes through these is parallel to the plane passsng through the others . . XI. 15. 5. If two parallel planes be cut by another plane, their common sections with it are parallels ...... XI. 16. 6. If two straight lines be cut by parallel planes, they shall be cut in the... | |
 | John Playfair - Geometry - 1855 - 350 pages
...and be perpendicular to one of them, it must be perpendicular to the other also. PROP. XIV. THEOR. fy two parallel planes be cut by another plane, their common sections with if are parallels. Let the parallel planes AB, . CD, be cut by the plane EFHG, and let their common... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...the plane passing through DE, EF. Wherefore, if two straight lines &c. QEP PROPOSITION 16. THEOREM. 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,... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...plane AC is II to the plane DF. XL 9. I. 29. XL 4. Constr. XI. 14. QED PROPOSITION XVI. THEOREM. // two parallel planes be cut by another plane, their common sections with it are parallel. AC Let the parallel planes AB, CD be cut by the plane EFSG, and let their common sections with it be... | |
 | Euclides - 1874 - 342 pages
...parallel to the plane of DE ana EF. Wherefore, two planes are, &c. QED PROPOSITION 16.— Theorem. If two parallel planes be cut by another plane, their common sections with it are parallels. Let the parallel planes AB and CD be cut by the plane FG, and let their common sections... | |
 | James Martin (of the Wedgwood inst, Burslem.) - 1876 - 334 pages
...CD at right angles to the horizontal traces of the planes, and DE' perpendicular to xy; GD and DE' will be the traces of a plane at right angles to the...their common sections with it are parallel. The plane CD, DE', cuts AA', A'A', in the line CD, and BB', B'B', in the line DP. Now we proceed to find the... | |
 | Euclides, James Hamblin SMITH - 1876 - 382 pages
...to i* p,line JC. XL 4. Ako, GBa t,: i* p jji* DFi Constr. XL 11. Q. s. a PROPOSITION XVI. THEOREM. 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,... | |
 | Euclides, James Hamblin Smith - Geometry - 1876 - 376 pages
...Constr. /. the plane AC is || to the plane DF. XI. 14. QED PROPOSITION XVI. THEOREM. // two parallrl planes be cut by another plane, their common sections with it are parallel. A e Let the parallel planes AB, CD be cut by the plane EFHG, and let their common sections with it... | |
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