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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 ... - Página 26
por Euclides - 1853
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Calendar

University of Allahabad - 1908 - 566 páginas
...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....
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Horses, Horsemen and Stable-management

Godfrey Bosvile - 1908 - 316 páginas
...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 - 456 páginas
...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, Partes1-4

Henry Sinclair Hall - 1908 - 286 páginas
...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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Henley's Encyclopædia of Practical Engineering and Allied Trades: A ...

Joseph Gregory Horner - 1909 - 560 páginas
...which has the greater angle shall be greater than the base of the other. (Prop. 24.) If two triangles have two angles of the one equal to two angles of...other, each to each, and one side equal to one side, namely either the sides adjacent to the equal angles in each, or the sides opposite to them, then shall...
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Atti Del ... Congresso Internazionale Dei Matematici ...

1909 - 605 páginas
...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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The Melbourne University Calendar

University of Melbourne - 1909 - 986 páginas
...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. :ind also one side of the one equal to the corresponding side of the other, the triangles are congruent....
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Wentworth's Plane Geometry

George Albert Wentworth, David Eugene Smith - 1910 - 287 páginas
...= 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 - 304 páginas
...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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Elements of Plane Geometry

William Herschel Bruce, Claude Carr Cody (Jr.) - 1910 - 286 páginas
...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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