 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
 | D. Tierney - 1877 - 126 pages
...side of the square = -¡- . PURE MATHEMATICS (1). THURSDAY, 7TH DECEMBER, 1876. 10 AM то IP.M. 1. If two parallel planes be cut by another plane, their common sections with it are parallel. Euclid, Book xL, Prop. 16. If a straight line CD be parallel to a plane, prove that the intersection... | |
 | J. B. Millar - Geometry, Descriptive - 1878 - 264 pages
...shall lie parallel to the line in which any plane containing it cuts the first plane 10 Theorem XII. If two parallel planes be cut by another plane, their common sections with it shall be parallel 11 Theorem XIII. Planes to which the same straight line is perpendicular are parallel... | |
 | Isaac Sharpless - Geometry - 1879 - 282 pages
...planes and be perpendicular to one, it is also perpendicular to the other. Proposition 15. 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 EFGH, and let their common sections with it be EF... | |
 | Euclides, James Hamblin Smith - 1879 - 376 pages
...x to the plane DF; Constr. .: the plane AC is || to the plane DF. XL 14. PROPOSITION XVI. THEOREM. If two parallel planes be cut by another plane, their common, sections with it cure parallel. Let the parallel planes AB, CD be cut by the plane EFHG, and let their common sections... | |
 | Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...an angle whose sine is - • о a Prove that the length of each side of the building is -r=yards. 1. If two parallel planes be cut by another plane, their common sections with it are parallel. If a straight line CD be parallel to a plane, prove that the intersection of any plane passing through... | |
 | Isaac Sharpless - Geometry - 1882 - 286 pages
...planes and be perpendicular to one, it is also perpendicular to the other. Proposition 15. 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 EFGH, and let their common sections with it be EF... | |
 | Woolwich roy. military acad - 1884 - 148 pages
...angles to each of them at that point; these three straight lines are in one and the same plane. 2. If two parallel planes be cut by another plane, their common sections with it are parallels. 3. Find a point, at a given distance from a given plane, equidistant from three given points... | |
 | George Bruce Halsted - Geometry - 1885 - 389 pages
...sides of the one equal to three of the other are congruent.) .-. £ ABC = £ DEF. THEOREM IX. 589. If two parallel planes be cut by another plane, their common sections with it are parallel. Call the parallel planes A and B, and the third plane X. Then the lines of intersection are in one... | |
 | George Bruce Halsted - Geometry - 1886 - 394 pages
...three sides of the one equal to three of the other are congruent.) .-. £ ABC = 4 DEF. THEOREM IX. 589. If two parallel planes be cut by another plane, their common sections with it are parallel. Call the parallel planes A and B, and the third plane X. Then the lines of intersection are in one... | |
 | Canada. Department of the Interior - 1888 - 756 pages
...angles to each of tborn at that point, the three straight lines shall be in one and the same plane. 2. If two parallel planes be cut by another plane, their common sections with it are parallel. 3. If a solid angle be contained by fonr or more plane angles, they are together less than four right... | |
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