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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... "
Elements of Geometry;: Containing the First Six Books of Euclid, with Two ... - Σελίδα 27
των John Playfair - 1795 - 400 σελίδες
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Plane Geometry: With Problems and Applications

Herbert Ellsworth Slaught, Nels Johann Lennes - 1910 - 280 σελίδες
...given points? 4. 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...

Plane and Solid Geometry

George Albert Wentworth, David Eugene Smith - 1913 - 470 σελίδες
...But ZA=Z.XBY, §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...

Mathematics in the Lower and Middle Commercial and Industrial ..., Τεύχη 34-42

Edson Homer Taylor - 1915 - 96 σελίδες
...other, each to 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....

Bulletin, Τεύχη 33-43

1915
...other, each to 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....

Statistics of Land-grant Colleges and Universities, Τόμος 3,Τεύχη 31-44

United States. Office of Education - 1915
...other, each to 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....

Plane Geometry

John Wesley Young, Albert John Schwartz - 1915 - 223 σελίδες
...triangle is taken 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...

The Bombay University Calendar, Τόμος 1

University of Bombay - 1906
...other, each to 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 (ride of the other, the triangles are congruent....

Euclid and His Modern Rivals

Lewis Carroll, Charles Lutwidge Dodgson - 2004 - 275 σελίδες
...will be equal in all 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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