 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 396 pages
...and DC' coincide, (Ax. 11.) and BA and DC are II. QED PROPOSITION V. THEOREM 468. If two angles, not in the same plane, have their sides parallel and lying in the same direction, they are Hyp. The sides of the angles ABC and A'B'C' are respectively parallel and lie in the same direction.... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1902 - 394 pages
...parallel to FE. (466) Hence DC and DC" coincide, (Ax. 11.) PROPOSITION V. THEOREM 468. If two angles, not in the same plane, have their sides parallel and lying in the same direction, they are equal. Hyp. The sides of the angles ABC and A'B'C' are respectively parallel and lie in the same... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 394 pages
...DC ' is parallel to FE. Hence DC and DC ' coincide, PROPOSITION V. THEOREM 468. If two angles, not in the same plane, have their sides parallel and lying in the same direction, they are equal. Hyp. The sides of the angles ABC and A'B'C ' are respectively parallel and lie in the same... | |
 | Minnesota - 1903 - 1096 pages
...Frustrum. Polyhedron Polar triangle, Tetraedon, Parallelepiped, spherical angle. (Define five.) 2. Two angles, not situated in the same plane, have their sides parallel and extend in the same direction. Prove their equality. 3. The sum of the angles of a spherical triangle... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 490 pages
...Pass a plane through AB intersecting P in a line XY. PROPOSITION VII. THEOREM 495. If two angles, not in the same plane, have their sides parallel and lying in the same direction, they are equal. Given the sides of the angles AOB and A'O'B' respectively parallel and lying in the same... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 486 pages
...Pass a plane through AB intersecting P in a line XY. PROPOSITION VII. THEOREM 495. If two angles, not in the same plane, have their sides parallel and lying in the same direction, they are equal. Given the sides of the angles A OB and A'O'B' respectively parallel and lying in the same... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 484 pages
...Pass a plane through AB intersecting P in a line XY. PROPOSITION VII. THEOREM 495. If two angles, not in the same plane, have their sides parallel and lying in the same direction, they are equal. LINES AND PLANES IN SPACE Given the sides of the angles AOB and A'O'B' respectively parallel... | |
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THEOREM. If two angles, not situated in the same plane, have their sides parallel and lying in the same direction, they will be equal, and the planes in which they are situated will be parallel. 
