 | Ephraim Hunt - Geometry - 1894 - 118 pages
...between two points. The angles opposite the equal sides are equal. Therefore, CASE I. When two triangles have two sides and the included angle of the one equal...and the included angle of the other, each to each, the remaining parts are equal, each to each, and the triangles are equal. Make any A ABC. Extend the... | |
 | 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'... | |
 | 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... | |
 | 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... | |
 | International Correspondence Schools - Surveying - 1898 - 518 pages
...readily found 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,... | |
 | International Correspondence Schools - Civil engineering - 1899 - 798 pages
...Railroad 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.... | |
 | International Correspondence Schools - Civil engineering - 1899 - 814 pages
...1274 Coaling 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.... | |
 | 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=... | |
 | 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... | |
 | 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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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... 
