 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.  The Elements of Geometry - Page 266by George Bruce Halsted - 1886 - 366 pagesFull view - About this book
 | William Betz - Geometry - 1916 - 536 pages
...adjoining angles of one equal respectively to a side and the two adjoining angles of the other. sas, having two sides and the included angle of one equal respectively to two sides and the included angle of the other. sss, having three sides of one equal respectively to three sides of the other. rt. A,... | |
 | William Betz, Harrison Emmett Webb - Geometry, Solid - 1916 - 214 pages
...adjoining angles of one equal respectively to a side and the two adjoining angles of the other. sas, having two sides and the included angle of one equal respectively to two sides and the included angle of the other. sss, having three sides of one equal respectively to three sides of the other. rt. A,... | |
 | John Charles Stone, James Franklin Millis - Geometry, Solid - 1916 - 196 pages
...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... | |
 | 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... | |
 | Webster Wells, Walter Wilson Hart - Geometry - 1916 - 504 pages
...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... | |
 | Education - 1917 - 786 pages
...the theorem carefully, making certain that every word is thoroughly understood. If two triangles have two sides and the included angle of one 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... | |
 | High schools - 1918 - 378 pages
...the theorem carefully, making certain that every word is thoroughly understood. If two triangles have two sides and the included angle of one 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... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry - 1918 - 460 pages
...triangles equal? The following statement expresses the result of this experiment: 23. // 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. Proof of this statement may be found in § 247. The three fundamental... | |
 | Claude Irwin Palmer - Geometry, Solid - 1918 - 192 pages
...corresponding sides are equal and the corresponding angles are equal. § 23. Experiment. 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. § 25. Construction. To construct a triangle when the three... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1918 - 360 pages
...5 = Z. 6, and C"B'= CB. That is, we have found by measurement that if two triangles are drawn with two sides and the included angle of one equal, respectively, to two sides and the included angle of the other, the remaining pairs of corresponding parts are equal. If we could prove that this statement... | |
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