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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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Plane Geometry

Edward Rutledge Robbins - 1906 - 254 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
...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
...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 - 412 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
...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 - 276 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
...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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Plane Geometry: With Problems and Applications

Herbert Ellsworth Slaught, Nels Johann Lennes - 1910 - 280 sider
...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 two...
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Plane Geometry: With Problems and Applications

Herbert Ellsworth Slaught, Nels Johann Lennes - 1910 - 280 sider
...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 have...
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Elements of Plane Geometry

William Herschel Bruce, Claude Carr Cody (Jr.) - 1910 - 263 sider
...triangle is equal to the sum of the two non-adjacent interior angles. 159. COR. 4. If two triangles have two angles of the one equal to two angles of the other, the third angle of the one is equal to the third angle of the other. 160. COR. 5. Each acute angle...
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