 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...  A Treatise on Special Or Elementary Geometry - Page 130by Edward Olney - 1872 - 1 pagesFull view - About this book
 | Thomas J. Foster - Coal mines and mining - 1891 - 444 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. If two triangles have two angles and the included... | |
 | Seth Thayer Stewart - Geometry - 1891 - 426 pages
...and it is, therefore, the required triangle. PROPOSITION I. 122. Theorem : // two triangles have two sides and the included angle of the one equal to two sides and the included anyle of the other, each to each, they are equal in all their parts. Statement : Let the two triangles... | |
 | Ephraim Hunt - Geometry - 1894 - 118 pages
...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 to two...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' It , AC equal*... | |
 | 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... | |
 | 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... | |
 | George Albert Wentworth - Mathematics - 1896 - 68 pages
...equal, the figure is a parallelogram. 184. The diagonals of a parallelogram bisect each other. 185. Two parallelograms, having two sides and the included angle of the one equal respectively to two sides and the included angle of the other, are equal. 186. Cor. Two rectangles... | |
 | 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,... | |
 | 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= DF,... | |
 | 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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