 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 570 pages
...greater face angle. PROPOSITION XXVI. THEOREM &73. Two triangles on the same sphere are equal : I. If two sides and the included angle of one are equal respectively to two sides and the included angle of the other. II. If a side and the two adjacent angles of one are equal respectively to a side and... | |
 | George Albert Wentworth - Mathematics - 1896 - 68 pages
...acute angle of the one are equal respectively to a side and homologous acute angle of the other. 150. Two triangles are equal if two sides and the included angle of the one are equal respectively to two sides and the included angle of the other. 151. Cor. Two right... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 574 pages
...the greater face angle. PROPOSITION XXVI. THEOREM 873. Two triangles on the same sphere are equal: I. If two sides and the included angle of one are equal respectively to two sides and the included angle of the other. II. If a side and the two adjacent angles of one are equal respectively to a side and... | |
 | Webster Wells - Geometry - 1898 - 284 pages
...from both members of the inequality, AB>BC-AC. PBOP. XV. THEOREM. 63. Two triangles are equal when two sides and the included angle of one are equal respectively to two sides and the included angle of the other. ABD '' E Given, in A ABC and DEF, AB = DE, AC=DF, and ZA = ZD To Prove A ABC = A DEF.... | |
 | Webster Wells - Geometry - 1898 - 250 pages
...theorem follows by § 109.) PROP. XLII. THEOREM. 113. Two parallelograms are equal when two adjacent sides and the included angle of one are equal respectively to two adjacent sides and the included angle of the other. Given, in m ABCD and EFGH, AB = EF, AD = EH, To... | |
 | Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...quadrilateral is called a diagonal. Proposition 55. Theorem. 67. Two parallelograms are equal when two sides and the included angle of one are equal respectively to two sides and the included angle of the other. Hypothesis. In the SI ABCD and EFGH, AB = EF, AD=EH, and ZA = ZE. Conclusion. O ABCD... | |
 | William James Milne - Geometry, Modern - 1899 - 258 pages
...with the corresponding angles of the other? 2. Under what conditions are two triangles equal? Theorem. Two triangles are equal, if two sides and the included angle of one are equal to two sides and the included angle of the other, each to each. ABDE Data : Any two triangles,'as ABC... | |
 | William James Milne - Geometry - 1899 - 396 pages
...with the corresponding angles of the other? 2. Under what conditions are two triangles equal? Theorem. Two triangles are equal, if two sides and the included angle of one are equal to two sides and the included angle of the other, each to each. ABD Data : Any two triangles, as ABC... | |
 | William James Milne - Geometry - 1899 - 398 pages
...and altitude of one are equal to the corresponding parts of the other? Theorem. Two parallelograms are equal, if two sides and the included angle of one are equal to two sides and the included angle of the other, each to each. Data: Any two parallelograms, as ABCD... | |
 | Webster Wells - Geometry - 1899 - 424 pages
...theorem follows by § 109.) PROP. XLII. THEOREM. 113. Two parallelograms are equal when two adjacent sides and the included angle of one are equal respectively to two adjacent sides and tlte included angle of the other. Given, in SJ ABCD and EFGH, AB = EF,AD = EH, and... | |
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Two triangles are congruent if two sides and the included angle of one are equal respectively to two sides and the included angle of the other. 
