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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... "
New Elementary Geometry: With Practical Applications ; a Shorter Course Upon ... - Page 117
by Benjamin Greenleaf - 1873 - 176 pages
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Connecticut School Document, Issues 1-13

Education - 1913 - 396 pages
...the value of the study for one who does not intend to go to college Prove the following theorems 3 If two angles not in the same plane have their sides parallel and lying on the same side of the straight line which joins their vertices they are equal and their planes are...
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Plane and Solid Geometry

Webster Wells, Walter Wilson Hart - Geometry - 1916 - 504 pages
...parallel to PQ, each would be _L to AB at A, and that is impossible. PROPOSITION XIII. THEOREM 481. 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. Hypothesis. /. BACis...
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Second-year Mathematics for Secondary Schools

Ernst Rudolph Breslich - Mathematics - 1916 - 392 pages
...and AC. Why? .'. AA'_LQ. Why? Show that Q II P. Use indirect method. Apply §368. 379. Theorem: // two angles not in the same plane have their sides parallel and running in the same direction, the angles are equal and their planes are parallel. Given angles A,...
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Third-year Mathematics for Secondary Schools

Ernst Rudolph Breslich - Logarithms - 1917 - 408 pages
...intersecting lines are parallel to a given plane, their plane is parallel to the given plane. [378] 545. If two angles not in the same plane have their sides parallel and running in the same direction, the angles are equal and their planes are parallel. [379] 546. All plane...
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Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 486 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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Solid Geometry

Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - Geometry, Solid - 1922 - 216 pages
...Since they are each II to a, Given b cannot meet c. § 45 Hence b is II toe.. § 43 Theorem 9 407. If two angles not in the same plane have their sides parallel and extending in the same direction from their vertices, they are equal. Given the angles LAK and RGS in...
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Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 484 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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Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1925 - 504 pages
...quadrilateral in space is equal and parallel to a line joining the midpoints of the other two sides. Ex. 4. If two angles, not in the same plane, have their sides parallel and lying in opposite directions, they are equal. Ex. 6. Under what condition will two angles be supplementary,...
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General Language: A Series of Lessons in Grammar, Word Study, and History of ...

Sterling Andrus Leonard, Riah Fagan Cox - English language - 1925 - 296 pages
...going. 2. I am coming to see you often, and when I come I want to do whatever will interest you most. 3. 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. 4. When you are in...
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Questions Set at the Examinations ...

College Entrance Examination Board - Universities and colleges - 1926 - 210 pages
...three subjects should omit all questions marked with an asterisk (*). SOLID GEOMETRY * 1. Prove that 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 paralle1. 2. Prove that the volume...
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