 | 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.... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 344 pages
...GEOMETRY. Theorem 2. If two triangles have two angles and the included side of the one respectively equal to two angles and the included side of the other, the triangles are congruent. Given To prove Proof. 1. the A ABC and A'B:C' such that AB = A'B', ZA = ZA', ZB = ZB'. that AA BC^... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 346 pages
...B'A'. Theorem 2. If two triangles have two angles and the included side of the one respectively equal to two angles and the included side of the other, the triangles are congruent. Given the A ABC and A'B'C' such that AB = A'B', ZA = ZA', ZB=ZB'. To prove that A ABC^A A'B'C'. Proof.... | |
 | Henry Dallas Thompson - Geometry, Solid - 1896 - 226 pages
...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
...triangles are equal. [§ 37. Therefore, If two triangles have, etc. QED PROPOSITION II. THEOREM. 45. If two triangles have two angles and the included side...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 one... | |
 | Arthur A. Dodd, B. Thomas Chace - Geometry - 1898 - 468 pages
...Prop. XVIII. 663. PROPOSITION XIX. 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... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry, Modern - 1899 - 265 pages
...II. 63. Theorem. If two triangles have two angles and the included side of the one respectively equal to two angles and the included side of the other, the triangles are congruent. b ^---q ' b_ (*' B B' Given the A ABC and AB'C' such that C' ZB = Z B', and To prove that A AB C ^... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry - 1899 - 412 pages
...II. 63. Theorem. If two triangles have two angles and the included side of the one respectively equal to two angles and the included side of the other, the triangles are congruent. f a' B' Given K B the A ABC and A'B'C' such that ZB = Z B', and a = a'. To prove that A AB CSA A'B'... | |
 | Education - 1901 - 814 pages
...diagonal. 2 Prove that if two triangles have two angles and the included side of one respectively equal to two angles and the included side of the other, the triangles are equal in all respects. 3 Prove that an inscribad angle is measured by one half the arc intercepted... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry - 1899 - 416 pages
...one respectively equal to two the one respectively equal to two sides and the included angle of the angles and the included side of the other, the triangles are congruent. other, the triangles are congruent. Moreover, if small letters and capitals are interchanged in the... | |
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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. 
