 | George Bruce Halsted - Geometry - 1885 - 389 pages
...angle opposite the second. THEOREM XII. 711. Two spherical triangles having two angles and the included side of the one equal respectively to two angles and the included side of the other, are either congruent or symmetrical. For the first triangle can be moved in the sphere into coincidence... | |
 | George Bruce Halsted - Geometry - 1886 - 394 pages
...angle opposite the second THEOREM XII. 711. Two spherical triangles having two angles and the included side of the one equal respectively to two angles and the included side of the other, are either congruent or symmetrical. For the first triangle can be moved in the sphere into coincidence... | |
 | William Benjamin Smith - Geometry, Modern - 1892 - 314 pages
...lie opposite to pairs of equal parts. 48. Theorem XIV. — Two A having two angles and the included side of the one equal respectively to two angles and the included side of the other are congruent (Fig. 28). FIG. 28. Data: Two A ABC, A'£'Cf, having «=«', (3 = f3', AB=A'B'. Proof.... | |
 | William Benjamin Smith - Geometry, Modern - 1892 - 170 pages
...lie opposite to pairs of equal parts. 48. Theorem XIV. — Two A having two angles and the included side of the one equal respectively to two angles and the included side of the other are congruent (Fig. 28). TA ~B\ I* B\ FIG. 28. Data: Two A ABC, A'B'C', having «=«', /?=/3', TH.... | |
 | William Benjamin Smith - Geometry, Modern - 1893 - 330 pages
...equal parts lie opposite to pairs of 48. Theorem XIV. — Two A having two angles and the included side of the one equal respectively to two angles and the included side of the other are congruent (Fig. 28). FIG. 28. Data : Two AB=A'B'. A ABC, A'B'C', having «=«', /3 = /5', Proof.... | |
 | George Clinton Shutts - Geometry - 1894 - 412 pages
...Theorem. Two triangles on the same sphere, or equal spheres, having two angles and the included side 0f one equal, respectively, to two angles and the included side of the other, are either equal or symmetrical. Suggestion. See figure and suggestions for § 669. Therefore — Ex.... | |
 | Henry Dallas Thompson - Geometry, Solid - 1896 - 226 pages
...they are either equal or symmetrical. 30. If two spherical triangles have two angles and the included side of the one equal respectively to two angles and the included side of the other, the two triangles are equal or symmetrical. 31. The angles at the base of an isosceles spherical triangle... | |
 | Henry W. Keigwin - Geometry - 1897 - 254 pages
...have, etc. QED PROPOSITION II. THEOREM. 45. If two triangles have two angles and the included side of one equal respectively to two angles and the included side of the other, the two triangles are equal. FlG. 23. Let ABC and DEF\>& two triangles in which angles B and C of the... | |
 | Arthur A. Dodd, B. Thomas Chace - Geometry - 1898 - 490 pages
...Given: Two triangles on the same sphere, or equal spheres, having two angles and the included side of one equal respectively to two angles and the included side of the other. (1) Can you prove the triangles equal? (2) Can you prove the triangles symmetrical ? Study the figures... | |
 | George Albert Wentworth - Geometry, Solid - 1899 - 248 pages
...than the third side. 139. Two triangles are equal if two angles and the included side of the one are equal, respectively, to two angles and the included side of the other. 141. Two right triangles are equal if the hypotenuse and an acute angle of the one are equal, respectively,... | |
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Two triangles are congruent if two angles and the included side of one are equal respectively to two angles and the included side of the other. 
