 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 394 pages
...intersect in DC'. Then 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... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1902 - 394 pages
...Then DC' is 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... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 396 pages
...FE. (466) Hence DC 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... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 394 pages
...Then DC' is parallel to FE. Hence DC and DC' coincide, SOLID GEOMETRY PROPOSITION V. THEOREM 468. // 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... | |
 | Joseph Claudel - Mathematics - 1906 - 758 pages
...lines are each parallel to a given plane, the plane of these lines is also parallel to that plane. 782. If two angles not in the same plane have their sides parallel and lie in the same direction : First, Their planes are parallel ; Second, The angles are equal (630).... | |
 | Webster Wells - Geometry - 1908 - 336 pages
...Jl. to the line.] (§ 354) Then but one plane can be drawn through A II PQ. PROP. XIX. THEOREM 376. If two angles not in the same plane have their sides parallel and extending in the same direction, they are equal, and their planes are parallel. . fQ Given A BACana... | |
 | Webster Wells - 1909 - 154 pages
...FC\\EA. (Two perpendiculars to the same plane are parallel.) § 368. 2. Hence, plane FDC II plane EBA. (If two angles not in the same plane have their sides parallel and extending in the same direction, they are equal, and their planes are parallel.) § 376. 3. Then, FD\\EB.... | |
 | Clara Avis Hart, Daniel D. Feldman, Virgil Snyder - Geometry, Solid - 1912 - 230 pages
...Through A construct any plane intersecting plane MN in line CD. Complete the construction. 645. Cor. iv. If two angles, not in the same plane, have their sides parallel respectively, their planes are parallel. Ex. 1173. Hold a pointer parallel to the blackboard. Is its... | |
 | Clara Avis Hart, Daniel D. Feldman - Geometry - 1912 - 504 pages
...§ 234. •> Ex. 1166. State the converse of Prop. VIII. Is it true ? PROPOSITION IX. THEOREM 635. If two angles, not in the same plane, have their sides parallel respectively, and lying on the same side of the line joining their vertices, they are equal.* Given... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 490 pages
...quadrilateral in space is equal and parallel to a line joining the midpoints of the other two sides. Ex. 1447. If two angles, not in the same plane, have their sides parallel and lying in opposite directions, they are equal. 496. DBF. The foot of a line intersecting a plane is the point... | |
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If two angles not in the same plane have their sides parallel and lying in the same direction, these angles will be equal, and their planes will be parallel. Let... 
