 | 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.... | |
 | Eugene Randolph Smith - Geometry, Plane - 1909 - 424 pages
...proportional between AC and AD. 585. Given three lines a, b, c. Construct a line a; so that a:b: :c:x. 586. Two parallelograms are equal if two sides and the included angle of one are equal to two sides and the included angle of the other. 587. The area of a regular inscribed hexagon is a... | |
 | Francis Rolt-Wheeler - History of mathematics - 1909 - 356 pages
...if the three sides of one are respectively equal to the three sides of the other. II. Two triangles are equal if two sides and the included angle of one are respectively equal to the corresponding parts of the other. II'. Two triangles are equal when a side... | |
 | 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... | |
 | Robert Louis Short, William Harris Elson - Mathematics - 1910 - 202 pages
...form an angle of 120°. The leg of the triangle ABC is how many times its base ? THEOREM XXIV 135. Two parallelograms are equal if two sides and the included angle of one are respectively equal to two sides and the included angle of the other. Given HI ABCD and HEFG with AD,... | |
 | 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... | |
 | Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 332 pages
...Construct a parallelogram, given its diagonals and an angle between them. PROPOSITION XXXVII. THEOREM 242. Two parallelograms are equal if two sides and the...equal respectively to two sides and the included angle of the other. G II Given El I and II with AB = EF, AD = EH, and ZA = ZE To prove OI = Oil. ARGUMENT... | |
 | 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... | |
 | Geometry, Plane - 1911 - 192 pages
...angle of one equal respectively to two sides and an angle of the other. (6) Prove that two triangles are equal if two sides and the included angle of one are equal respectively to two sides and an included angle of the other. 2. Prove that the bisector of an angle is the loous of points equidistant... | |
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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. 
