 | Edward Rutledge Robbins - Geometry - 1907 - 428 pages
...sphere (or on equal spheres) have their parts arranged in reverse order, they are symmetrical: 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 angles adjoining it of one are equal respectively to a side... | |
 | Webster Wells - Geometry - 1908 - 336 pages
...intersect, Conclusion. The vertical angles are equal. PROP. II. THEOREM 46. Two triangles are equal when two sides and the included angle of one are equal respectively to two sides and the included angle of (he other. a Draw any A ABC : draw line DE equal to AB: construct Z EDGf equal to ZA, the constructed... | |
 | Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...683. Two triangles on the same sphere, or on equal spheres, are either congruent or symmetrical, if two sides and the included angle of one are equal respectively to two sides and the included angle of the other. 684. Corollary. Two symmetrical isosceles spherical triangles are congruent. 686. The... | |
 | Webster Wells - Geometry, Plane - 1908 - 208 pages
...tlieu use § 106.) PROP. XXXVI. THEOREM • ~j 110. Two parallelograms are equal when two adjacent sides and the included angle of one are equal respectively to two adjacent sidv and the included angle of the other. f E* Draw [U ABCD and EFGH in accordance with the... | |
 | Ernst Rudolph Breslich - Mathematics - 1909 - 402 pages
...Exercises 1, 2, and 3 illustrate the following theorem: 274. Theorem: 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. The truth of this statement may be established by reasoning as follows: Let ABC and C... | |
 | Webster Wells - 1909 - 154 pages
...intersection is perpendicular to the other.) § 387. 3. Hence, AKTJ=AKTL. (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.) § 46. 4. Hence, KJ = KL. (In equal figures the homologous parts are equal.) § 48.... | |
 | William Herschel Bruce, Claude Carr Cody (Jr.) - Geometry, Modern - 1910 - 284 pages
...diagonals of a rectangle are equal. PROPOSITION XLIII. _ THEOREM. 176. Two parallelograms are congruent if two sides and the included angle of one are equal, respectively, to two sides and the included angle of the other. Given the Os ABCD and EFGH, with sides AB = EF, AD = EH, and the £ A = £ E. To prove... | |
 | William Herschel Bruce, Claude Carr Cody (Jr.) - Geometry, Modern - 1910 - 286 pages
...diagonals of a rectangle are equal. PROPOSITION XLIII. THEOREM. 176. Two parallelograms are congruent if two sides and the included angle of one are equal, respectively, to t,vo sides and the included angle of the other. Given the Os ABCD and EFGH, with sides AB = EF, AD... | |
 | John Gale Hun, Charles Ranald MacInnes - Trigonometry - 1911 - 234 pages
...sides of the other. 2) Three angles of one are equal respectively to three angles of the other. 3) Two sides and the included angle of one are equal respectively to two sides and the included angle of the other. 4) A side and the adjacent angles of one are equal respectively to a side and the adjacent... | |
 | John Gale HUN (and MAC INNES (Charles Ranald)), Charles Ranald MacInnes - Trigonometry - 1911 - 234 pages
...sides of the other. 2) Three angles of one are equal respectively to three angles of the other. 3) Two sides and the included angle of one are equal respectively to two sides and the included angle of the other. 4) A side and the adjacent angles of one are equal respectively to a side and the adjacent... | |
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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. 
