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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 ... - Page 94
by Euclid, James Thomson - 1837 - 390 pages
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Wentworth's Plane Geometry

George Wentworth, David Eugene Smith - Geometry, Plane - 1910 - 287 pages
...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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Elements of Plane Geometry

William Herschel Bruce, Claude Carr Cody (Jr.) - Geometry, Plane - 1910 - 263 pages
...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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Plane and Solid Geometry

George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 470 pages
...and ZC = Z YBC. § 100 .'.Z.4+ZŁ + 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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Robbin's New Plane Geometry

Edward Rutledge Robbins - Geometry, Plane - 1915 - 264 pages
...angle of the other, the remaining acute angles are equal. (-18.) 111. COROLLARY. 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. ( J (l I . ) 112. COROLLARY....
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Bulletin, Issues 33-43

Education - 1915
...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 - Geometry, Plane - 1915 - 223 pages
...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. A An angle formed by one side of...
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Statistics of Land-grant Colleges and Universities, Volume 3, Issues 31-44

United States. Office of Education - Agricultural colleges - 1915
...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 ..., Issues 34-42

Edson Homer Taylor - Mathematics - 1915 - 96 pages
...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, Volume 2

Raleigh Schorling, John Roscoe Clark - Mathematics - 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 - Mathematics - 2004 - 275 pages
...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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