 | University of Sydney - 1906 - 738 pages
...HALF. PAPER A. — (Eucm>.) 1. Any two sides of a triangle are together greater than the third. 2. If two triangles have two angles of the one equal to two angles of the other respectively and one side equal, etc. Complete this enunciation and prove the theorem. If the diagonal... | |
 | Isaac Newton Failor - Geometry - 1906 - 440 pages
...obtuse angle. 155 COROLLARY 2. The acute angles of a right triangle are complementary. 156 COROLLARY 3. If two triangles have two angles of the one equal to two angles of the other, the third angles are equal. 157 COROLLARY 4. Each angle of an equilateral triangle is 60°. PROPOSITION... | |
 | Isaac Newton Failor - Geometry - 1906 - 431 pages
...obtuse angle. 155 COROLLARY 2. The acute angles of a right triangle are complementary. 156 COROLLARY 3. If two triangles have two angles of the one equal to 'two angles of the other, the third angles are equal. 157 COROLLARY 4. Each angle of an equilateral triangle is 60°. PROPOSITION... | |
 | University of Allahabad - 1907 - 528 pages
...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...corresponding side of the other, the triangles are congruent. If two sides of a triangle are equal, the angles opposite to these sides are equal ; and the converse.... | |
 | Edward Rutledge Robbins - Geometry - 1907 - 428 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.... | |
 | University of Allahabad - 1908 - 568 pages
...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...corresponding side of the other, the triangles are congruent. If two sides of a triangle are equal, the angles opposite to these sides are equal ; and the converse.... | |
 | Godfrey Bosvile - Horsemanship - 1908 - 316 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 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.... | |
 | Euclid - Mathematics, Greek - 1908 - 456 pages
...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... | |
 | Euclid - Mathematics, Greek - 1908 - 550 pages
...he proves the equality of two triangles which have two angles respectively equal to two angles and one side of the one equal to the corresponding side of the other. It looks as though he found the method handed down by tradition (we can hardly suppose that, if Thales... | |
 | University of Calcutta - 1908 - 562 pages
...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... | |
| |
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. 
