| George Roberts Perkins - Geometry - 1847 - 308 pages
...the angle BAC to the angle DCA, and the angle BCA to the angle DAC ; hence the two triangles, having **two angles of the one equal to two angles of the other,** have also their third angles equal (Prop. xxiv, Cor. 1), namely, the angle B equal to the angle D,... | |
| Elias Loomis - Conic sections - 1849 - 252 pages
...angles GHE, HEF are also equal. Therefore, the triangles HEF, EHG have two angles of the one euual **to two angles of the other, each to each, and the side** Ell included between the equal angles, common; hence the triangles are equal (Prop. VII.); and the... | |
| Euclid, Thomas Tate - 1849 - 120 pages
...angle EDF. Wherefore if two triangles, &c. QED PROP. XXVI. THEOB. If two triangles have two angles of **one equal to two angles of the other, each to each ; and** one side equal to one side, viz. either the sides adjacent to the equal angles, or the sides opposite... | |
| George Roberts Perkins - Geometry - 1850 - 332 pages
...the angle BAC to the angle DCA, and the angle BCA to the angle DAC ; hence the two triangles, having **two angles of the one equal to two angles of the other,** have also their third angles equal, (Prop, xxiv, Cor. 1,) namely, the angle B equal to the angle D,... | |
| ...parallelograms are equal." State and prove the onverse of this proposition. ,"*• *i two triangles **have two angles of the one equal to two angles of the** ". eaoh to each, and one side equal to one side: namely, the side opposite , k? eo,ual angles in each... | |
| Adrien Marie Legendre - Geometry - 1852 - 436 pages
...consequently, the equiangular triangles BAC, CED, are two similar figures. Cor. Two triangles which **have two angles of the one equal to two angles of the other,** are similar ; for, the third angles are then equal, and the two triangles are equiangular (B. L, P.... | |
| Euclides - 1852
...as to exemplify the two last propositions.] PROP. XXVI. THEOR. If two triangles have two angles of **one equal to two angles of the other, each to each ; and** one side equal to one side, viz. either the sides adjacent to the equal angles, or the sides opposite... | |
| Euclides - 1853 - 146 pages
...greater than the angle EDF. Wherefore if two triangles, &c. QED PROP. XXVI. THEOREM. If two trianglet **have two angles of the one equal to two angles of the other, each to each; and** one side equal to one side, viz. either the sides adjacent to the equal angles, or the sides opposite... | |
| Royal Military Academy, Woolwich - Mathematics - 1853
...the right angle BED is equal to the right angle BFD ; the two triangles EUCLID 8 ELEMENTS. EBD, FBD **have two angles of the one equal to two angles of the other** ; and the side BD, which is opposite to one of the equal angles in each, is common to both ; therefore... | |
| Euclides - Geometry - 1853 - 147 pages
...bisected by Ь d, and that the right angle bed is equal to the right angle bfd, the two triangles ebd, fbd **have two angles of the one equal to two angles of the other,** and the side bd, which is opposite to one of the equal angles in each, is common to both ; therefore... | |
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