 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 491 pages
...an isosceles triangle the angles opposite the eqical Another Case of Congruence. Suppose that these two triangles have two angles and the included side...to two angles and the included side of the other; that is, suppose that c c' and c = c'. A c B Ask the student to consider the general appearance of... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...statement and proof should now be given as in the teit. Another Case of Congruence. Suppose that these two triangles have two angles and the included side...respectively to two angles and the included side of the other ; that is, suppose that and c = c'. A. c £ A' Ask the student to consider the general appearance of... | |
 | Walter Burton Ford, Charles Ammerman - Geometry, Solid - 1913 - 184 pages
...equal spheres, are either congruent or symmetric, if two angles and the included side of the one are equal, respectively, to two angles and the included side of the other. [Proceed as in § 372.] 374. Theorem XII. Two triangles on the same sphere, or on equal spheres, are... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 490 pages
...PROPOSITION II. THEOREM ' 66. 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. Given A ABC and A'B'C' with AB — A'B', ZA = ZA', and Z B = Z B'. To prove A ABC ^ A A'B'C ' . Proof... | |
 | Walter Burton Ford, Charles Ammerman - Geometry, Plane - 1913 - 376 pages
...equal spheres, are either congruent or symmetric, if two angles and the included side of the one are equal, respectively, to two angles and the included side of the other. [Proceed as in § 372.] 306 VIII, §375] TRIANGLES AND POLYGONS 374. Theorem XII. Two triangles on... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry, Plane - 1913 - 328 pages
...PROPOSITION II. THEOREM 66. 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. a Given A ABC and A'B'C' with Z B = Z B'. To prove A .4.8(7 ^ A ^'i ! = A'B', ZA — ZA', and Proof... | |
 | Webster Wells, Walter Wilson Hart - Geometry, Plane - 1915 - 330 pages
...be true about all triangles made according to the directions given ? PROPOSITION II. THEOREM 67. If two triangles have two angles and the included side...included side of the other, the triangles are congruent. ABDE Hypothesis. In A ABC and A DEF: Conclusion. A ABC ^ A DEF. Proof. 1. Place A ABC on A DEF, with... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry, Plane - 1915 - 320 pages
...other. Are these two triangles equal? The following expresses the result of this experiment: 19. // two triangles have two angles and the included side...equal respectively to two angles and the included side oj the other, the triangles are equal. 18 19 20. By means of the ruler, compare the length of the line... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry, Plane - 1915 - 336 pages
...ADEF. § 246 248. Theorem. 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. Given A ABC and DEF, having ZA = ZD, ZC = ZF, and AC = DF. To prove AABC = ADEF. Proof. Place AABC... | |
 | Mathematics - 1915 - 830 pages
...follows: S<S=8<S.) Theorem Two triangles are congruent if two angles and the included side of the one are equal respectively to two angles and the included side of the other. (Reference to this theorem: <•»<=<,< ) Theorem If two angles of a triangle are equal, the sides... | |
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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 triangles are congruent. 
