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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 will be equal in all their parts." Axiom 1. "Things which are equal to the same thing, are equal... "
Elementary Geometry: With Applications in Mensuration - Page 97
by Charles Davies - 1850 - 216 pages
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Plane and Solid Geometry: Suggestive Method

Charles Ambrose Van Velzer, George Clinton Shutts - Geometry - 1894 - 522 pages
...C. PROPOSITION XLII. THKOREM. 127. Two parallelograms which have two tides and the included angle of one equal to two sides and the included angle of the other, each to each, are equal in aU respect*. I) Let AD and A' D' represent, two parallelograms in whicli AB equal* A'...
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Mathematics for Common Schools: A Manual for Teachers, Including Definitions ...

John Henry Walsh - 1896 - 282 pages
...that two triangles are equal in every respect (a) when two sides and the included angle of one are equal to two sides and the included angle of the other, each to each ; and (6) when two angles and the included side of one are equal to two angles and the included side...
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A Manual for Teachers, Including Definitions, Principles, and Rules and ...

John Henry Walsh - 1895 - 296 pages
...that two triangles are equal in every respect (a) when two sides and the included angle of one are equal to two sides and the included angle of the other, each to each ; and (Z>) when two angles and the included side of one are equal to two angles and the included side...
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A Textbook on Surveying and Mapping ...: Arithmetic, formulas, geometry and ...

International Correspondence Schools - Surveying - 1898 - 518 pages
...by multiplying the known volume by () ' = j^. SURVEYING. GEOMETRY. 118O. If two triangles have two sides and the included angle of 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,...
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The Elements of Civil Engineering: Prepared for Students of the ..., Volume 3

International Correspondence Schools - Civil engineering - 1899 - 798 pages
...Structures, - Questions 1017-1082 1339 SURVEY1NG. FIG. aw. GEOMETRY. 1 18O. If two triangles have two sides and the included angle of 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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Surveying, land surveying, mapping, railroad location, railroad construction ...

International Correspondence Schools - Civil engineering - 1899 - 814 pages
...Stations, ... - 1281 Turntables, - - - 1285 SURVEYING. GEOMETRY. 1 1 8O. If two triangles have two sides and the included angle of 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 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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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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Coal and Metal Miners' Pocketbook of Principles, Rules, Formulas, and Tables ...

International Correspondence Schools - Mining engineering - 1900 - 728 pages
...are equal. 4. If two angles have their sides parallel, they are equal. 5. If two triangles have two sides, and the included angle of 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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