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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 ... - Σελίδα 66
των John Keill - 1733 - 397 σελίδες
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Plane Geometry: With Problems and Applications

Herbert Ellsworth Slaught, Nels Johann Lennes - 1910 - 280 σελίδες
...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...

Wentworth's Plane Geometry

George Wentworth, David Eugene Smith - 1910 - 287 σελίδες
...= 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...

Plane and Solid Geometry

George Albert Wentworth, David Eugene Smith - 1913 - 470 σελίδες
...§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...

Bulletin, Τεύχη 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...

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

Edson Homer Taylor - 1915 - 96 σελίδες
...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...

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

Plane Geometry

John Wesley Young, Albert John Schwartz - 1915 - 223 σελίδες
...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...

Bulletin, Τεύχη 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...

Modern Mathematics: Seventh-[eighth] Year, Τόμος 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...

Euclid and His Modern Rivals

Lewis Carroll, Charles Lutwidge Dodgson - 2004 - 275 σελίδες
...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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