 | Adrien Marie Legendre - Geometry - 1836 - 394 pages
...respectively equal, namely, the .side EF=BC, the angle E=B, and the angle F=C PROPOSITION VI. THEOREM. If two triangles have two angles and the included side of the one, •equal to two ang'es and the included side of the other, each to each, the two triangles will be equal. Let... | |
 | Charles Davies - Geometrical drawing - 1840 - 262 pages
...ABC and DEF, having AC=DF, CB-FE, and angle C=F, then will Angle A = D, angle B = E, and AB=DE. 2. If two triangles have two angles, and the included side of the one equal to two angles and the included side of the other, the remaining parts will also be equal. QI-EsT. —... | |
 | George Roberts Perkins - Geometry - 1847 - 326 pages
...be the triangle required. This is obvious from what has already been done. PROPOSITION IV. THEOREM. If two triangles have two angles and the included side of the one equal to two angles and the included side of the other, the triangles will be identical, or equal in all... | |
 | Elias Loomis - Conic sections - 1849 - 252 pages
...DEP, and the angle ACB to the angle DFE. Therefore, if two triangles, &c. PROPOSITION VII. THEOREM. If two triangles have two angles, and the included side of the one, equal to two angles and the included side of the other, each to each, the two triangles will be equal, the... | |
 | Charles Davies - Trigonometry - 1849 - 372 pages
...respectively equal, namely, Mie side EF=BC, the angle E=B, and the angle F = C PROPOSITION VI. THEOREM. \ftwo triangles have two angles and the included side of the one, equal to two angles and the included side of the other, each to each, the two triangles will be equal. Let... | |
 | Adrien Marie Legendre - Geometry - 1852 - 436 pages
...11) : consequently, the triangle EDF is equal to the triangle BAC (A. 14). PROPOSITION VI. THEOEEM. If two triangles have two angles and the included side of the one, equal to two angles and the included side of the other, each to each, the two triangles will be equal. Let... | |
 | Charles Davies - Geometry - 1854 - 436 pages
...respectively equal, viz., the side EF—BC, the angle E=B, and the angle F~C. BOOK I. PROPOSITION VI. THEOREM. If two triangles have two angles and the included side of the one, equal to two angles and the included side of the other, each to each, the two triangles will be equal. Let... | |
 | Charles Davies, William Guy Peck - Mathematics - 1855 - 628 pages
...manner, many of the fundamental principles of Geometry have been proved : thus, it is proved, that if two triangles have two angles and the included side of the one, equal to two angles and the included side of the other, each to each, they will be equal. It is also proved,... | |
 | Charles Davies - Geometry - 1855 - 340 pages
...to each, are equal : for if applied the one to the other, the equal parts will coincideTHEOREM VIf two triangles have two angles and the included side of the one, equal to two angles and the included side of the other, each to each, the two triangles will be equalLet... | |
 | Adrien Marie Legendre, Charles Davies - Geometry - 1857 - 442 pages
...respectively equal, viz., the side EF=BC, the angle U=B, and the angle F—C. PROPOSITION VI. THEOREM. y two triangles have two angles and the included side of the one, equal to two angles and the included side of the other, eaoh to each, the two triangles will be equal. Let... | |
| |
If two triangles have two angles and the included side of one equal respectively to two angles and the included side of the other, the triangles are congruent. 
