 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1902 - 394 pages
...the preceding exercise. PROPOSITION XXXVI. THEOREM 142. Two parallelograms are equal if two adjacent sides and the included angle of one are equal, respectively, to two adjacent sides and the included angle of the other. A DA' D' Hyp. In IS ABCD and A'B'C'D', AB = A'B',... | |
 | American School (Chicago, Ill.) - Engineering - 1903 - 390 pages
...once a rectangle and a rhombus. THEOREH XXXIV. 114. Two parallelogramx are equal when two adjacent sides and the included angle of one are equal respectively to two adjacent sides and the included angle of the other. In the parallelograms ABCD and A' B' C' D', let... | |
 | Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...from each side, AB + BO AP + PC. Ax. 9. QED PROPOSITION VI. THEOREM 96. 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. B Given the triangles ABC and DEF in which AB=DE, AC=DF, and To prove A ABC = A DEF.... | |
 | Fletcher Durell - Geometry, Solid - 1904 - 232 pages
...sides of the triangle is greater than the sum of the two lines so drawn. 96. 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. 98. Two right triangles are equal if the hypotenuse and an acute angle of one are equal... | |
 | Fletcher Durell - Geometry - 1911 - 553 pages
...angle be '/ how small ? PROPOSITION XXXVII. THEOREM 162. Two parallelograms are equal if two adjacent sides and the included angle of one are equal, respectively, to two adjacent sides and the included angle of the other. Given the £E7 ABCD and A'B'C'l)' in which AB =... | |
 | Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...*" i. 3 x L i . s.xv PROPOSITION XXXVII. THEOREM 1 62. Two parallelograms are equal if two adjacent sides and the included angle of one are equal, respectively, to two adjacent sides and the included angle of the other. Given the £E7 ABCD and A'B'C'D' in which AB =... | |
 | Education - 1919 - 960 pages
...that this is what he had done. Beneath this was written, "Proposition: 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." Then followed the ordinary proof of the proposition. About the only difference between... | |
 | Education - 1919 - 924 pages
...that this is what he had done. Beneath this was written, "Proposition: 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." Then followed the ordinary proof of the proposition. About the only difference between... | |
 | Education - 1914 - 220 pages
...long AB and AC are drawn, or what size angle A has? This proves Theorem II. 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. Problem V. To construct a triangle when two sides and their included angle are given.... | |
 | Edward Rutledge Robbins - Geometry, Plane - 1906 - 268 pages
...find the other three. If one is 90°, find the others. 139. 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. B, ,c M. ,N Given: SI AC ami LN; AB = LM ; AD = LO; ZA = Z L. To Prove : The SI are =... | |
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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. 
