| Charles Ambrose Van Velzer, George Clinton Shutts - Geometry - 1894 - 520 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 - 390 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 - 564 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, Plane - 1896 - 268 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 - 224 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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