 | Richard Lanning Sandwick - Study skills - 1915 - 196 pages
...postulates necessary to proof. • 4. Corollaries. II. Those having two angles and the included side of one equal respectively to two angles and the included side of the other. 1. Construction lines needed, if any. 2. Method of proof. 3. Previous theorems, axioms, or postulates... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry, Plane - 1915 - 336 pages
...middle point of AC.) (Each being 60°.) §19 (// two triangles have two angles and the included side of one equal respectively to two angles and the included side of the other, the triangles are equal.) 3. The angles A and C of the triangle ABC are equal. The point D bisects... | |
 | Webster Wells, Walter Wilson Hart - Geometry, Plane - 1915 - 330 pages
...directions given ? PROPOSITION II. THEOREM 67. If two triangles have two angles and the included side of one equal respectively to two angles and the included side of the other, the triangles are congruent. ABDE Hypothesis. In A ABC and A DEF: Conclusion. A ABC ^ A DEF. Proof.... | |
 | John Wesley Young, Albert John Schwartz - Geometry, Modern - 1915 - 248 pages
...THEOREMS 189. THEOREM. Two triangles are congruent if two angles and the included side of the one are equal, respectively, to two angles and the included side of the other. Given To prove Proof. 1. 2. 3. 4. 5. the A ABC and A'B'C', with ZB = Z B', side BC = side B'C', and... | |
 | Mathematics - 1915 - 830 pages
...follows: S<S=8<S.) Theorem Two triangles are congruent if two angles and the included side of the one are equal respectively to two angles and the included side of the other. (Reference to this theorem: <•»<=<,< ) Theorem If two angles of a triangle are equal, the sides... | |
 | John Charles Stone, James Franklin Millis - Geometry - 1916 - 306 pages
...ship from shore by means of the congruence of triangles having two angles and the included side of one equal respectively to two angles and the included side of the other. They measured Z 1 and Z 2. Explain how they were then able to mark off a distance on the shore equal... | |
 | Webster Wells, Walter Wilson Hart - Geometry - 1916 - 504 pages
...directions given ? PROPOSITION II. THEOREM 67. If two triangles have two angles and the included side of one equal respectively to two angles and the included side of the other, the triangles are congruent. F BDE Hypothesis. In A ABC and A DEF: ZB=ZE Conclusion. A ABC =* A DEF.... | |
 | Norwood Press - Printers - 1916 - 470 pages
...equal spheres, are either congruent or symmetric, if two angles and the included side of the one are equal, respectively, to two angles and the included side of the other. [Proceed as in § 872.] [303] From Ford and Ammtrman's " Solid Gtomtlry." By permission of The Macmillan... | |
 | Education - 1917 - 786 pages
...respectively to two sides and the included angle of the other 2. If two angles and the included side are equal respectively to two angles and the included side of the other. 3. If the three sides of one are equal respectively to the three sides of the other IV. Two right triangles... | |
 | Ernst Rudolph Breslich - Logarithms - 1917 - 408 pages
...angle of the other, arranged in the reverse order. 2. // two angles and the included side of one are equal respectively to two angles and the included side of the other, arranged in the reverse order. Let AABC and A'B'C', Fig. 225, be the given triangles. Draw AA"B"C"... | |
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Two triangles are congruent if two angles and the included side of one are equal respectively to two angles and the included side of the other. 
