| 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.... | |
| 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.... | |
| 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... | |
| 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.... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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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