 | Fletcher Durell - Geometry - 1911 - 553 pages
...PROPOSITION VII. THEOREM 97a Two triangles are equal if two angles and flic included side of one are equal, respectively, to two angles and the included side of the other. Given the A AEG and DEF in which ZA-ZD, ZC= ZJF, and AC=DF. To prove AABC = A DEF. Proof, Place the... | |
 | Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...PROPOSITION xJJK THEOREM 97. Two triangles are equal if two angles and the included side of one are equal, respectively, to two angles and the included side of the other. Given the A ABC and DEF in which /.A= Z I>, /.C = /.F, &nAAC=DF. To prove AABC = A DEF. Proof. Place... | |
 | George Clinton Shutts - 1905 - 260 pages
...AC coincides with D F. Ax. 12 Cor. 2. .:AABC = ADEF. Ax. 13. QED PROPOSITION VIII. 83. Theorem. // two triangles have two angles and the included side of one, equal to two angles and the included side of the other, each to each, the triangles are equal in all respects.... | |
 | Education - 1914 - 220 pages
...stated as follows : Theorem I. Two triangles are equal if two angles and the included side of one are equal respectively to two angles and the included side of the other. Problem V. To construct a triangle when the two angles and their included side are given. Let angle... | |
 | Isaac Newton Failor - Geometry - 1906 - 431 pages
...sides and the included angle of the other. §162 2 If two angles and the included side of the one are equal respectively to two angles and the included side of the other. § 167 3 If the three sides of the one are equal respectively to the three sides of the other. § 172... | |
 | Isaac Newton Failor - Geometry - 1906 - 440 pages
...PROPOSITION XV. THEOREM 167 Two triangles are equal if two angles and the included side of the one are equal respectively to two angles and the included side of the other.* HYPOTHESIS. ABC and DBF are two triangles having /- B - ZE, / C = £ F, and BC = EF. CONCLUSION. A... | |
 | Alan Sanders - Geometry - 1908 - 396 pages
...BE is laid off equal to BD. Prove AD = CE. Suggestion. Show that 16 PROPOSITION II. THEORBM 35. If two triangles have two angles and the included side...respectively to two angles and the included side of tJie other, the triangles are equal in all respects. Let the A ABC and DEF have ZA = ZO, Z. C = ZF,... | |
 | Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...ADC. THEOREM II 85' If two triangles have two angles and the included side of one respectively equal to two angles and the included side of the other, the triangles are congruent. B B' Given : A ABC and A'B'C' in which ZA = Z A', ZB = Z B', and AB = A'B'. To Prove : A ABC ^ A A'B'C'.... | |
 | Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...equal spheres, are either congruent or symmetrical, if two angles and the included side of one are equal respectively to two angles and the included side of the other. SUGGESTION. Give a proof similar to the proof of Theorem VII by superposition. 2. Two spherical triangles... | |
 | George F. Cole - 1909 - 368 pages
...respectively, to two angles and the included side of the other. Draw two triangles as ABC and DEF with two angles and the included side of one equal, respectively,...to two angles and the included side of the other. Cut out the triangles. Compare one with the other. Are they equal? Why? CLASSIFICATION OF QUADRILATERALS... | |
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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. 
