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" Two triangles are congruent if (a) two sides and the included angle of one are equal, respectively, to two sides and the included angle of the other... "
Secondary-school Mathematics - Page 354
by Robert Louis Short, William Harris Elson - 1911
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Plane Geometry

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....
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Solid Geometry

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...
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Plane Geometry

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 =...
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Plane and Solid Geometry

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 =...
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California Education, Volume 2

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....
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School Science and Mathematics, Volume 19

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...
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School Science and Mathematics, Volume 19

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...
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Plane Geometry

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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Geometry: Plane Trigonometry. Chain Surveying. Compass Surveying. Transit ...

International Correspondence Schools - Building - 1906 - 634 pages
...the one are equal, respectively, to one side and the similarly situated acute angle of the other. 74. Two triangles are equal when two sides and the included angle of one are equal to two sides and the included angle of the other. Fio.49 In Fig. 49, AB = A' ff = A"B", AC = A> C<...
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Plane and Solid Geometry

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...
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