 | Edward Olney - Geometry - 1872 - 562 pages
...the supplement of F'E'DQKD ELEMENTARY PLANE GEOMETBY. OF TRIANGLES. PROPOSITION VL 284. Theorem. — Two triangles which have two sides and the included angle of one equal to two sides and the included angle of the other, each to each, are equal. DEM.— Let ABC aud DEF... | |
 | Edward Olney - Geometry - 1872 - 472 pages
...the supplement of F'E'DQED ELEMENTABY PLANE GEOliETRY. 0F TRIANGLES. PROPOSITION TL 284. Theorem. — Two triangles which have two sides and the 'included angle of one equal to two sides and the included angle of the other, each to each, are equal. DEM.— Let ABC and DEF... | |
 | Edward Olney - Geometry - 1876 - 354 pages
...F'E'D, ABC is also the supplement of F'E'D. <j. RD OF TRIANGLES. PROPOSITION VI. 284, Theorem.—Two triangles which have two sides and the included angle of one equal to two sides and the included angle of the other, each to each, are equal FIG. 204. DEM.—Let ABC... | |
 | Edward Olney - Geometry - 1877 - 272 pages
...supplement of F'E'D, ABC is also the supplement of F'E'DQED OF TRIANGLES. PROPOSITION VL 284. Theorem.—Two triangles which have two sides and the included angle of one equal to two sides and the included angle of the other, each to each, are equal. FIu.204. DEM.—Let ABC... | |
 | Edward Olney - Geometry - 1883 - 352 pages
...angles are supplemental, otherwise they are equal. OF TRIANGLES. PROPOSITION IV. 298. Theorem. — Two triangles which have two sides and the included angle of one equal to two sides and the included angle of the other, each to each, are equal. DEMONSTRATION. Let ABC and... | |
 | George Bruce Halsted - Geometry - 1885 - 389 pages
...symmetrical is henceforth devoted entirely to such. THEOREM V. 688. Two spherical triangles having two sides and the included angle of one equal respectively to two sides and the included angle of the other, are either congruent or symmetrical. (1) If the parts given equal are arranged in the... | |
 | George Bruce Halsted - Geometry - 1886 - 394 pages
...symmetrical is henceforth devoted entirely to such. THEOREM V. 688. Two spherical triangles having two sides and the included angle of one equal respectively to two sides and the included angle of the other, are either congruent or symmetrical. (1) If the parts given equal are arranged in the... | |
 | Edward Albert Bowser - Geometry - 1890 - 418 pages
...of its sides. Proposition 9. Theorem.* 709. Two triangles on the same, or on equal spheres, having two sides and the included angle of one equal respectively to two sides and the included angle of the other, are either equal or equivalent. Hyp. Let ABC, DEF be two A s having the side AB = DE,... | |
 | Arthur Latham Baker - Geometry, Solid - 1893 - 150 pages
...line joining the two points. QED PROPOSITION IX. THEOREM. 275. Two triangles on equal spheres, having two sides and the included angle of one equal respectively to two sides and the included angle of the other, are either equal or equivalent. Proof. By superposing one Sph. A upon the other, or upon... | |
 | Webster Wells - Geometry - 1894 - 394 pages
...627.) 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... | |
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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. 
