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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. "
Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ... - Side 66
av John Keill - 1733 - 397 sider
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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 have...
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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 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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Bulletin, Utgaver 33-43

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...
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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...
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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...
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Plane Geometry

John Wesley Young, Albert John Schwartz - 1915 - 223 sider
...from two right angles, the remainder is equal to the third angle. 184. COROLLARY 4. If two triangles have two angles of the one equal to two angles of the other, the third angles are equal. 185. An exterior angle of a triangle. An angle formed by one side of a...
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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...
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Modern Mathematics: Seventh-[eighth] Year, Volum 2

Raleigh Schorling, John Roscoe Clark - 1925
...Similar triangles are not necessarily of the same size. We can construct two similar triangles by making two angles of the one equal to two angles of the other, as was done with the triangles constructed in the preceding section. It follows that the third angles...
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Euclid and His Modern Rivals

Lewis Carroll, Charles Lutwidge Dodgson - 2004 - 275 sider
...respects.' This contains a superfluous datum : it would have been enough to say ' if two Triangles have two angles of the one equal to two angles of the other &c.' Nie. Well, it is at worst a superfluity : the enunciation is really identical with Euclid's. Min....
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