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" If two triangles have two sides, and the included angle of the one equal to two sides and the included angle of the other, each to each, the two triangles are equal in all respects. "
Elements of Plane Geometry - Page 48
by Thomas Hunter - 1878 - 132 pages
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The Elements of Civil Engineering: Prepared for Students of the ..., Volume 3

International Correspondence Schools - Civil engineering - 1899 - 798 pages
...947-1016 1333 Railroad Structures, - Questions 1017-1082 1339 SURVEY1NG. FIG. aw. GEOMETRY. 1 18O. If two triangles have two sides and the included angle...the one equal to two sides and the included angle of the other, the triangles are equal in all their parts. Thus, in the two triangles ABC and DEF, Fig....
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Plane and Solid Geometry

William James Milne - Geometry - 1899 - 398 pages
...Theorem. Two triangles on the same, or on equal spheres, having two sides and the included angle of one equal to two sides and the included angle of the other, each to each, are either equal or equivalent. Data : Two spherical triangles, as ABC and DEF, in which AB = DE, AC=...
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Plane and Solid Geometry

William James Milne - Geometry - 1899 - 396 pages
...two triangles equal? Theorem. Two triangles are equal, if two sides and the included angle of one are equal to two sides and the included angle of the other, each to each. ABD Data : Any two triangles, as ABC and DEF, in which AB = DE, AC = DF, and angle A = angle D. To...
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Plane Geometry

William James Milne - Geometry, Modern - 1899 - 258 pages
...of the other? Theorem. 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, each to each. Data: Any two parallelograms, as ABCD and EFGH, in which AB = EF, AD = EH, and angle A = angle E. To...
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New Plane Geometry

Wooster Woodruff Beman, David Eugene Smith - Geometry, Modern - 1899 - 265 pages
...in space while two of its points remain fixed. PROP. I.] TRIANGLES. PROPOSITION I. 62. Theorem. If two triangles have two sides and the included angle of the one respectively equal to two sides and the included angle of the other, the triangles are congruent. Given...
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Coal and Metal Miners' Pocketbook of Principles, Rules, Formulas, and Tables ...

International Correspondence Schools - Mining engineering - 1900 - 728 pages
...opposite or vertical angles are equal. 4. If two angles have their sides parallel, they are equal. 5. If two triangles have two sides, and the included angle...the one equal to two sides and the included angle of the other, they are equal in all their parts. 6. If two triangleshave two angles, and the included...
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Report of the Department of Education for the Year ...

Manitoba. Department of Education - Education - 1900 - 580 pages
...briefly the use of definitions, postulates and axioms, respectively, in the science of geometry. 2. If two triangles have two sides and the included angle of the one respectively equal to two sides and the included angle of the other the two triangles shall be equal...
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Elementary Geometry, Plane and Solid: For Use in High Schools and Academies

Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...The theorem of Proposition IV may be divided into hypothesis and conclusion, thus : Hypothesis. If two triangles have two sides and the included angle of the one equal, respectively, to two sides and the included angle of the other, Conclusion. Then the triangles are...
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Surveying, Land Surveying, Mapping, Railroad Location, Railroad Construction ...

International Correspondence Schools - Cartography - 1903 - 846 pages
...Stations, - - - 1274 Coaling Stations, - - - 1281 Turntables, . - . . 1285 SURVEYING. GEOMETRY. 1 18O. If two triangles have two sides and the included angle...the one equal to two sides and the included angle of the other, the triangles are equal in all their parts. Thus, in the two triangles ABC and DEF, Fig....
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Mathematics, mechanics, heat

American School (Chicago, Ill.) - Engineering - 1903 - 392 pages
...the sum of the two opposite interior angles, as angle BCD = angle A + angle B. THEOREM XVII. 77. If two triangles have two sides and the included angle of the one equal respectively to two sides and the included angle of the other, the two triangles are equal in all respects....
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