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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. "
The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ... - Side 94
av Euclid, James Thomson - 1837 - 390 sider
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Graded Lessons in Arithmetic, Bok 8

Wilbur Fisk Nichols - 1905 - 208 sider
...right triangle are angles. 6. Each angle of an equilateral triangle must be . 7. If two triangles have two angles of the one equal to two angles of the other, the third angles are . 8. If two right triangles have one acute angle of one equal to an acute angle...
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School Science and Mathematics, Volum 7

1879 - 944 sider
...topic lie selected as basic principles the following theorems : "Two triangles are similar if they have two angles of the one equal to two angles of the other; Two triangles are similar If they have an angle of the one equal to an angle of the other and the including...
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Plane and Solid Geometry

Isaac Newton Failor - 1906 - 440 sider
...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...
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Plane Geometry

Edward Rutledge Robbins - 1906 - 268 sider
...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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Plane and Solid Geometry

Isaac Newton Failor - 1906 - 431 sider
...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...
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Calendar

University of Allahabad - 1907 - 528 sider
...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...
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Plane and Solid Geometry

Edward Rutledge Robbins - 1907 - 428 sider
...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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Calendar

University of Allahabad - 1908 - 568 sider
...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...
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Horses, Horsemen and Stable-management

Godfrey Bosvile - 1908 - 316 sider
...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...
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Books 3-9

Euclid - 1908 - 456 sider
...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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