 Two triangles are congruent if (a) two sides and the included angle of one are equal, respectively, to two sides and the included angle of the other...  The Elements of Geometry - Page 24by Webster Wells - 1894 - 378 pagesFull view - About this book
 | George Albert Wentworth - Geometry - 1877 - 426 pages
...THEOREM. 106. Two triangles are equal in all respects when two sides and the iucluded angle of the one are equal respectively to two sides and the included angle of the other. C' B A' In the triangles ABC and A' B' C', let AB = A'B', AC= A' C',Z. A=Z. A'. We are to prove AABC =... | |
 | George Anthony Hill - Geometry - 1880 - 332 pages
...given parts, and prove that it is equal to the first. Theorem. — Two parallelograms are equal if two sides and the included angle of one are equal respectively to two sides and the included angle of the other. Exercises. — 1. Construct a parallelogram, the two sides being 44cm and 66cm, and the... | |
 | William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...two straight lines intersect each other, the opposite (or vertical) angles are equal. PROPOSITION VI. Two triangles are equal when two sides and the included angle of the one are respectively equal to two sides and the included angle of the other. PROPOSITION VII. Two... | |
 | George Anthony Hill - Geometry - 1888 - 200 pages
...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, 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. ***- 67> PROOF.... | |
 | George Anthony Hill - Geometry - 1888 - 202 pages
...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, 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.... | |
 | Edward Albert Bowser - Geometry - 1890 - 418 pages
...Each angle of an equiangular triangle is two-thirds of a right angle, Proposition 2 1 . Theorem. 104. Two triangles are equal when two sides and the included angle of the one are equal respectively to two sides and the included angle of the other. Hyp. Let ABC, DEF... | |
 | Education - 1893 - 640 pages
...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 are equal, 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.... | |
 | William Chauvenet - 1893 - 340 pages
...two straight lines intersect each other, the opposite (or vertical) angles are equal. PROPOSITION VI. Two triangles are equal when two sides and the included angle of the one are respectively equal to two sides and the included angle of the other. PROPOSITION VII. Two... | |
 | 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... | |
 | 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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