 | Mathematics - 1915 - 830 pages
...crayons, a pair of scissors, a bottle of glue and a ball of twine. Let them construct two triangles having two sides and the included angle of one equal respectively to two sides and the included angle of the other, cut these out, fit them together and see for themselves that they will coincide in all... | |
 | Webster Wells, Walter Wilson Hart - Geometry - 1916 - 490 pages
...conclude must be true about all triangles made according to the directions ? PROPOSITION I. THEOREM 63. If two triangles have two sides and the included angle...the included angle of the other, the triangles are congruent. ABDE Hypothesis. In A ABC and A DEF: AB = DE; AC=DF; ZJ. = ZZ>. Conclusion. A ABC ^ A DEF.... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | Webster Wells, Walter Wilson Hart - Geometry - 1916 - 504 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
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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. 
