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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. "
Elements of geometry, containing the first two (third and fourth) books of ... - Page 17
by Euclides - 1871
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Calendar

University of Allahabad - 1907
...other, each to each, and also the angles 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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Plane and Solid Geometry

Edward Rutledge Robbins - Geometry - 1907 - 412 pages
...an acute angle of the other, the remaining acute angles are equal. (See 114 and 48.) 117. THEOREM. If two triangles have two angles of the one equal to two angles of the other, the third angle of the first is equal to the third angle of the second. (See 110 and Ax. 2.) 118. THEOREM....
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Horses, Horsemen and Stable-management

Godfrey Bosvile - Horsemanship - 1908 - 276 pages
...then the angle opposite to the greater side shall be greater than the angle opposite to the less. 3. If two triangles have two angles of the one equal...and the sides adjacent to the equal angles in each equal, then shall the triangles be equal in all respects. 4. The complements of the parallelograms...
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Calendar

University of Allahabad - 1908
...other, each to each, and also the angles 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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Books 3-9

Euclid - Mathematics, Greek - 1908
...included by the proportional sides must be either equal or unequal. If they are equal, then, since the triangles have two angles of the one equal to two angles of the other, respectively, they are equiangular to one another. We have therefore only to consider the case in which...
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Calendar, Part 3

University of Calcutta - 1908
...PHANINDBALAL GANGULI, MA (^ ,, SUBENDBANATH CHATTEBJEE, MA The figures in the margin indicate full marks. 1. If two triangles have two angles of the one equal to two angles 8 of the other, each to each, and a side of one equal to a side of the other, these sides being opposite...
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A School Geometry, Parts 1-4

Henry Sinclair Hall - 1908
...together equal to four right angles. 46 THEOREM 17. [Euc. I. 26.] If two triangles have two angles of one equal to two angles of the other, each to each, and any side of the first equal to the corresponding side of the other, the triangles are equal in all...
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Wentworth's Plane Geometry

George Wentworth, David Eugene Smith - Geometry, Plane - 1910 - 287 pages
...ZA=Z.XBY, 102 and ZC = Z YBC. 100 .'. Z /I + Z 7; + ZC = 2 rt. A, by Ax. 9. p. ED 108. COROLLARY 1. If two triangles have two angles of the one equal to two angles of the other, the third angles are equal. 109. COROLLARY 2. In a triangle there can be hut one right angle or one...
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Plane Geometry: With Problems and Applications

Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 280 pages
...given points? 4. Which theorems of Chapter 1 are found by direct proof and which by indirect proof ? 5. If two triangles have two angles of the one equal to two angles of the other, and also any pair of corresponding sides equal, the triangles are congruent. . 6. If two triangles...
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Plane Geometry: With Problems and Applications

Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 280 pages
...given points? 4. Which theorems of Chapter I are found by direct proof and which by indirect proof ? 5. If two triangles have two angles of the one equal to two angles of the other, and also any pair of corresponding sides equal, the triangles are congruent. 6. If two triangles have...
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