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" If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz. either the sides adjacent to the equal... "
The First Six Books: Together with the Eleventh and Twelfth - Page 200
by Euclid - 1781 - 520 pages
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Elementary Geometry: Practical and Theoretical

Charles Godfrey, Arthur Warry Siddons - Geometry - 1903 - 384 pages
...falls along EF. Do the two triangles coincide ? THEOREM 11. If two triangles have two angles of the one equal to two angles of the other, each to each, and also one side of the one equal to the corresponding side of the other, the triangles are congruent....
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A Text-book of Euclid's Elements for the Use of Schools, Book 1

Euclid - Euclid's Elements - 1904 - 488 pages
...than the angle EOF. QED EXERCISE. PROPOSITION 26. THEOREM. If two triangles have two angles of the one equal to two angles of the other, each to each, and a side of one equal to a side of the other, these sides being either adjacent to the equal angles,...
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Plane Geometry

Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...: A'B' = BC : B'C'. Hence the A ABC and A'B'C' are similar. Art. 321. 324. COR. 1. If two triangles have two angles of one equal to two angles of the other, the triangles are similar; also, If two right triangles have an acute angle of one equal to an acute...
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The New International Encyclopaedia, Volume 18

Daniel Coit Gilman, Harry Thurston Peck, Frank Moore Colby - Encyclopedias and dictionaries - 1906 - 936 pages
...principal propositions of Similarity THBEK eiMlLAB TETRillF.DRi. are: Two triangles are similar if they have two angles of one equal to two angles of the other, respectively. Mutually equiangular triangles are similar. If two triangles have the sides of the THIIEE...
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Calendar

University of Allahabad - 1907 - 528 pages
...contained by these sides equal, the triangles are congruent. If two triangles have two angles "of the one equal to two angles of the other, each to each, and also one side of the one equal to the corresponding side of the other, the triangles are congruent....
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A School Geometry, Parts 1-4

Henry Sinclair Hall - 1908 - 286 pages
...right angles by ZY ; and YP, ZQ, are perp'. on BC. Mr' DPC THEOREM 17. [Euclid I. 26.] If two triangles have two angles of one equal to two angles of the other, each to each, andfani^side of the first equal to the corresponding side of the other, the triangles are equal in...
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Horses, Horsemen and Stable-management

Godfrey Bosvile - Horsemanship - 1908 - 316 pages
...side shall be greater than the angle opposite to the less. 3. If two triangles have two angles of the one equal to two angles of the other, each to each, and the sides adjacent to the equal angles in each equal, then shall the triangles be equal in all respects....
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New Plane Geometry

Webster Wells - Geometry, Plane - 1908 - 206 pages
...are similar will be found useful in solving original exercises. Two triangles are similar : When they have two angles of one equal to two angles of the other ( 236). When their homologous sides are proportional ( 240). When they have an angle of one equal...
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Calendar

University of Allahabad - 1908 - 566 pages
...contained by these sides equal, the triangles are congruent. If two triangles have two angles of the one equal to two angles of the other, each to each, and also one side of the one equal to the corresponding side of the other, the triangles are congruent....
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New Plane and Solid Geometry

Webster Wells - Geometry - 1908 - 338 pages
...are similar will be found useful in solving original exercises. Two triangles are similar : When they have two angles of one equal to two angles of the other ( 236). When their homologous sides are proportional ( 240). When they have an angle of one equal...
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