 | Franklin Ibach - Geometry - 1882 - 208 pages
...COR. 1. — .á diagonal of a parallelogram divides it into two equal triangles. THEOREM XLI. 131. Two parallelograms are equal if two sides and the included angle of the one are respectively equal to two sides and the included angle of the other. Let AB С D and EFGH... | |
 | Webster Wells - Geometry - 1886 - 392 pages
...672. Two triangles on the same sphere or on two equal spheres are either equal or symmetrical when two sides and the included angle of one are equal respectively to two sides and the included angle of the other. I. In the triangles ABC and DEF, let the sides AB and AC and the included angle A be... | |
 | George Anthony Hill - Geometry - 1888 - 202 pages
...part is given ? If two parts are given? If the three angles are given? 14. Theorem. — Two triangles are equal, if two sides and the included angle of...respectively, to two sides and the included angle of the other. HYPOTHESIS. A ABC and DEF, AB=DE, AC=DF, CONCLUSION. -^ BDE A ABC = A DEF. FI°- 67PROOF.... | |
 | George Anthony Hill - Geometry - 1888 - 200 pages
...part is given? If two parts are given ? If the three angles are given ? 14. Theorem. — Two triangles are equal, if two sides and the included angle of...respectively, to two sides and the included angle of the other, HYPOTHESIS. A ABC and DEF, AB=DE, AC CONCLUSION. A ABC = A DEF. PROOF. We may divide... | |
 | George Anthony Hill - Geometry - 1889 - 200 pages
...part is given? If two parts are given? If the three angles are given? 14. Theorem. — Two triangles are equal, if two sides \ and the included angle of one are equal, respectively, vto two sides and the included angle of the other, HYPOTHESIS. j} A ABC and DEF, AB=DE, AC=DF, CONCLUSION.... | |
 | Education - 1893 - 568 pages
...Construct triangle by measuring two sides and included angle of a given triangle. Theorem: Two triangles are equal if two sides and the included angle of one...respectively, to two sides and the included angle of the other. 13. Theorem: i. In an isosceles triangle, the angles opposite the equal sides are equal.... | |
 | George Albert Wentworth, George Anthony Hill - Geometry - 1894 - 150 pages
...which is not in the right bisector of a straight line is unequally distant from the ends of the line. and the included angle of one are equal respectively to two sides and the included angle of the other. 146. Theorem. Two triangles are equal if two angles and a side of one are equal respectively... | |
 | Webster Wells - Geometry - 1894 - 400 pages
...prove AB > BC — A C. We have AB + AC > BC. PROPOSITION XV. THEOREM. 63. Two triangles are equal when two sides and the included angle of one are equal respectively to tivo sides and the included angle of the other. a ABDE In the triangles ABC and DEF, let AB = DE, AC... | |
 | John Macnie - Geometry - 1895 - 390 pages
...bisect the angles through whose vertices they pass is equilateral. PROPOSITION XXXIX. THEOREM. 143. Two parallelograms are equal if two sides and the included angle of the one are respectively equal to two sides and the included angle of the other. A' Given: In parallelograms... | |
 | 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... | |
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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. 
