 If two triangles have two sides and the included angle of one equal respectively to two sides and the included angle of the other, the triangles are equal.  The Elements of Geometry - Page 266by George Bruce Halsted - 1886 - 366 pagesFull view - About this book
 | Charles Ambrose Van Velzer, George Clinton Shutts - Geometry - 1894 - 522 pages
...side opposite it in the other. PROPOSITION XXI. Two triangles, on the same sphere, or equal spheres, having two sides and the included angle of one equal...sides and the included angle of the other, are either equal or symmetrical. PROPOSITION XXII. Two triangles, on the same sphere, or equal spheres, having... | |
 | George Clinton Shutts - Geometry - 1894 - 412 pages
...SOLID GEOMETRY. PROPOSITION XIX. 669. Theorem. Two triangles on the same sphere, or equal spheres, having two sides and the included angle of one equal,...respectively, to two sides and the included angle 0f the other are either equal or symmetrical. AD A' CF Let ABC and DEF be two spherical As in which... | |
 | Webster Wells - Geometry - 1894 - 394 pages
...PROPOSITION XVII. THEOREM. 629. If two spherical triangles on the same sphere, or equal spheres, have two sides and the included angle of one equal respectively to two sides and the included anjle of the other, I. They are equal if tlte equal parts occur in the same order. II. They are symmetrical... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry, Modern - 1896 - 276 pages
...hypothesis that angle «> angle c. Therefore AB<BC. QED PROPOSITION XXII. THEOREM 79. If two triangles have two sides and the included angle of one, equal respectively to two sides and the included angle of the other, the triangles are equal. C' GIVEN — AB, AC, and a, of the triangle ABC respectively... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 570 pages
...hypothesis that angle «>angle c. Therefore AB<BC. QED PROPOSITION XXII. THEOREM 70. If two triangles have two sides and the included angle of one, equal respectively to two sides and the included angle of the other, the triangles are equal. C' GIVEN — AB, AC, and a, of the triangle ABC respectively... | |
 | George D. Pettee - Geometry, Modern - 1896 - 272 pages
...the figure is a rectangle. 46. Prove by coincidence that two parallelograms are equal if they have two sides and the included angle of one equal respectively to two sides and the included angle of the other. 42 PLANE GEOMETRY PROPOSITION XXVIII 109. Theorem. // two sides of a quadrilateral are... | |
 | George Albert Wentworth - Mathematics - 1896 - 68 pages
...parallelogram bisect each other. 185. Two parallelograms, having two sides and the included angle of the one equal respectively to two sides and the included angle of the other, are equal. 186. Cor. Two rectangles having equal bases and equal altitudes are equal. 187. If three or... | |
 | Henry W. Keigwin - Geometry - 1897 - 254 pages
...PROBLEM. To construct a square on a given side. PROPOSITION XXVI. THEOREM. 115. If two parallelograms have two sides and the included angle of one equal respectively to two sides and the included angle of the other, the parallelograms are equal. 7 ».D *a FIG. 53. [Superpose, and use Ax. III.] 116. COR.... | |
 | Webster Wells - Geometry - 1899 - 424 pages
...00O.) PROP. XXII. THEOREM. 602. If two spherical triangles on the same sphere, or equal spheres, have two sides and the included angle of one equal, respectively, to two sides and the included angle of the other, II. They are symmetrical if the equal parts occur in the reverse order. D' I. Given ABC... | |
 | Webster Wells - Geometry - 1899 - 450 pages
...600.) PROP. XXII. THEOREM. 602. If two spherical triangles on the same sphere, or equal spheres, have two sides and the included angle of one equal, respectively, to two sides and the included angle of the other, II. They are symmetrical if the equal parts occur in the reverse order. I. Given ABC... | |
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