 | Charles Ambrose Van Velzer, George Clinton Shutts - Geometry - 1894 - 522 pages
...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 respectively to two sides and the included angle of the other, are either equal or symmetrical. PROPOSITION XXII. Two triangles, on the same sphere,... | |
 | 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... | |
 | University of the State of New York. Examination Department - Examinations - 1894 - 412 pages
...receive 10 credits. 1 Define right angle, rhomboid, plane figure, sector, similar polygons. 2 Prove that if two triangles have two sides and the included angle of one respectively equal to two sides and the included angle of the other, the two triangles are equal in... | |
 | George Clinton Shutts - Geometry - 1894 - 412 pages
...which use is intended. 81. The median line, or median of a triangle, ^ PROPOSITION VII. 82. Theorem. // two triangles have two sides and the included angle of one, equal to two sides and the included angle of the other, each to each, the triangles are equal in all respects.... | |
 | George Cunningham Edwards - Geometry - 1895 - 324 pages
...like relation to the equal angles. Corresponding sides are often called homologous sides. 24. THEOREM. If two triangles have two sides and the included angle of one equal to two sides and the included angle of the other, they are congruent. The student will supply the necessary... | |
 | Adelia Roberts Hornbrook - Geometry - 1895 - 222 pages
...figure are called Homologous Angles, and the corresponding sides Homologous Sides. PRINCIPLE 24. — If two triangles have two sides and the included angle of one respectively equal to two sides and the included angle of the other, the triangles are equal in all... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 276 pages
...angles are unequal, and the greater angle is opposite the greater side.] PROPOSITION XXII. THEOREM 70. If two triangles have two sides and the included angle...the included angle of the other, the triangles are equal. GIVEN—AB, AC, and a, of the triangle ABC respectively equal to A'B', A'C, and a', of the triangle... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 570 pages
...contradict the hypothesis that angle «>angle c. Therefore AB<BC. QED PROPOSITION XXII. THEOREM 70. If two triangles have two sides and the included angle...the included angle of the other, the triangles are equal. C' GIVEN — AB, AC, and a, of the triangle ABC respectively equal to A'B', A'C, and a', of... | |
 | George D. Pettee - Geometry, Modern - 1896 - 272 pages
...base, or to the base produced. TRIANGLES PROPOSITION XI 25 76. Theorem. Two triangles 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. Appl. Cons. Dem. Prove A = Place AC upon 13 [=byhyp.] AB falls upon 12 [X=JT'] B " "2... | |
 | Henry Dallas Thompson - Geometry, Solid - 1896 - 226 pages
...on a fixed great circle. 26. If two spherical triangles have two sides and the included angle of the one equal respectively to two sides and the included angle of the other, the two triangles are equal or symmetrical. 27. If two convex spherical triangles have two sides of the... | |
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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. 
