 | 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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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. 
