 | James Howard Gore - Geometry - 1898 - 232 pages
...Parallel lines between parallel planes are equal. SUGGESTION. See 108. PROPOSITION VIII. THEOREM. 353. If two angles not in the same plane have their sides...direction, they are equal and their planes are parallel. Let the angles C and C" lie in the planes MN and PQ respectively, having their sides AC and A'C' parallel,... | |
 | George Albert Wentworth - Geometry - 1898 - 462 pages
...s .>r jS B» r~~- — .. •/ _---- ~"i Y~~~ - •-.. * / / N 1 PROPOSITION XIII. THEOREM. 498. // two angles not in the same plane have their sides...direction, they are equal, and their planes are parallel. Let the angles A and A' be respectively in the planes MN and PQ and have AD parallel to A'D' and AC... | |
 | Harvard University - Geometry - 1899 - 39 pages
...THEOREM VI. The intersections of two parallel planes with any third plane are parallel. THEOREM VII. If two angles, not in the same plane, have their sides...direction, they are equal and their planes are parallel. THEOREM VIII. If one of two parallel lines is perpendicular to a plane, the other is also perpendicular... | |
 | George Albert Wentworth - Geometry, Solid - 1899 - 246 pages
...from three given points not in a straight line. 266 LINES AND PLANES. PROPOSITION XIV. THEOREM. 534. If two angles not in the same plane have their sides respectively parallel and lying on the same side of the straight line joining their vertices, they are equal, and their planes are... | |
 | George Albert Wentworth - Geometry - 1899 - 498 pages
...from three given points not in a straight line. 266 LINES AND PLANES. PROPOSITION XIV. THEOREM. 534. If two angles not in the same plane have their sides respectively parallel and lying on the same side of the straight line joining their vertices, they are equal, and their planes are... | |
 | William James Milne - Geometry - 1899 - 404 pages
...angles compare in size? In what direction do their planes extend with reference to each other? Theorem. If two angles, not in the same plane, have their sides respectively parallel and extending in the same direction, they are equal and their planes are parallel. Data : Any two angles,... | |
 | Webster Wells - Geometry - 1899 - 424 pages
...PROP. XVII. THEOREM. 426. If tu-o utujlex not in the same plane hare their sides parallel and extending in the same direction, they are equal, and their planes are parallel. Given A BAC and B'A'C' in planes 3fN and PQ, respectively, with AB and AC II respectively to A'B' and... | |
 | George Albert Wentworth - Geometry, Solid - 1902 - 246 pages
...in space equidistant from three given points not in a straight line. PROPOSITION XIV. THEOREM. 534. If two angles not in the same plane have their sides respectively parallel and lying on the same side of the straight line joining their vertices, they are equal, and their planes are... | |
 | George Albert Wentworth - Geometry - 1904 - 496 pages
...from three given points not in a straight line. 266 LINES AND PLANES. PROPOSITION XIV. THEOREM. 534. If two angles not in the same plane have their sides respectively parallel and lying on the same side of the straight line joining their vertices, they are equal, and their planes are... | |
 | William Chauvenet - 1905 - 336 pages
...plane, and then pass a plane through the point perpendicular to this line. PROPOSITION X.—THEOREM. 23. If two angles, not in the same plane, have their sides...parallel and lying in the same direction, they are fQual and their planes are parallel. Let BAC, B'A'C', be two angles lying in the planes MN, M'N'; and... | |
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If two angles, not in the same plane, have their sides respectively parallel and lying in the same direction, they are equal and their planes are parallel. Let BA C,B'A... 
