| William Betz, Harrison Emmett Webb - Geometry, Solid - 1916 - 214 pages
...§ 815. 818. Two spherical triangles, on the same sphere or on equal spheres, are congruent if they **have two sides and the included angle of one equal respectively to two sides and the included angle** of the other and arranged in the same order, and symmetric if the given parts of one are arranged in... | |
| Webster Wells, Walter Wilson Hart - Geometry - 1916 - 490 pages
...orders. PROPOSITION XXII. THEOREM 703. 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, I. They are congruent if the equal parts occur in the same order. II. They are symmetrical... | |
| John H. Williams, Kenneth P. Williams - Geometry, Solid - 1916 - 184 pages
...mutually equiangular. 789. THEOREM. // 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, 1. They are equal if the equal parts occur in the same order. 2. They are symmetrical... | |
| John Charles Stone, James Franklin Millis - Geometry, Solid - 1916 - 196 pages
...proof of the theorem. 479. Theorem. — 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, they are either congruent or symmetrical. Hypothesis. A ABC and A DEF are spherical triangles... | |
| William Betz - Geometry - 1916 - 536 pages
...§ 815. 818. Two spherical triangles, on the same sphere or on equal spheres, are congruent if they **have two sides and the included angle of one equal respectively to two sides and the included angle** of the other and arranged in the same order, and symmetric if the given parts of one are arranged in... | |
| Jacob William Albert Young, Lambert Lincoln Jackson - Geometry, Plane - 1916 - 328 pages
...PROPOSITION II. THEOREM 92. If two triangles have two sides and the included angle of the one ecftial **respectively to two sides and the included angle of the other, the triangles are congruent.** B JD E FiG. 1 FIG. 2 Given A ABC and ADEF in which AB = DE, AC—DF and Z BAC = Z EDF. To prove that... | |
| Edith Long, William Charles Brenke - Geometry, Plane - 1916 - 292 pages
...angles are equal. Part II. Triangles — Congruence and Construction. Congruent Triangles. Theorem V. **If two triangles have two sides and the included angle of one** respectively equal to the sides and the included angle of the other, the triangles are congruent. Theorem... | |
| Edith Long, William Charles Brenke - Geometry, Modern - 1916 - 292 pages
...angles are equal. Part II. Triangles — Congruence and Construction. Congruent Triangles. Theorem V. **If two triangles have two sides and the included angle of one** respectively equal to the sides and the included angle of the other, the triangles are congruent. Theorem... | |
| University of Illinois (Urbana-Champaign campus). College of Education - Education - 1917 - 788 pages
...mentally. Read through the theorem carefully, making certain that every word is thoroughly understood. **If two triangles have two sides and the included angle...equal respectively to two sides and the included angle** of the other, etc., separate it Into hypothesis and conclusion. To make sure that the pupils have the... | |
| Fletcher Durell, Elmer Ellsworth Arnold - Geometry, Solid - 1917 - 220 pages
...polygon of three sides. 78. The sum of any two sides of a triangle is greater than the third side. 79. **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. 82. In... | |
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