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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. either the sides adjacent to the equal... "
The synoptical Euclid; being the first four books of Euclid's Elements of ... - Side 26
av Euclides - 1853
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Horses, Horsemen and Stable-management

Godfrey Bosvile - 1908 - 276 sider
...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....
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Books 3-9

Euclid - 1908
...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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A School Geometry, Deler 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 - 1910 - 287 sider
...= 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 - 1910 - 280 sider
...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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Plane Geometry: With Problems and Applications

Herbert Ellsworth Slaught, Nels Johann Lennes - 1910 - 280 sider
...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 and Solid Geometry

George Albert Wentworth, David Eugene Smith - 1913 - 470 sider
...§102 and ZC = Z YBC. § 100 .'.Z.4+Z£ + ZC = 2rt.^, by Ax. 9. QED 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 but one right angle or one...
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Statistics of Land-grant Colleges and Universities, Volum 3,Utgaver 31-44

United States. Office of Education - 1915
...each, and also the angles contained by those 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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Mathematics in the Lower and Middle Commercial and Industrial ..., Utgaver 34-42

Edson Homer Taylor - 1915 - 96 sider
...each, and also the angles contained by those 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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Bulletin, Utgaver 38-46

1915
...each, and also the angles contained by those 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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