| John Playfair - 1846 - 332 páginas
...GNK, and the angles GMK, GMN are both right angles by construction ; wherefore, the triangles GMK, GMN **have two angles of the one equal to two angles of the other,** and they have also the side GM common, therefore they are equal(26. 1.),and the side KM is equal to... | |
| Samuel Hunter Christie - 1847 - 172 páginas
...the angle EBC : and the angle AEG is equal to the angle BEH (I. 15): therefore the triangles AEG, BEH **have two angles of the one equal to two angles of the other, each to each, and** the sides AE, EB, adjacent to the equal angles, equal to one another: wherefore they have their other... | |
| George Roberts Perkins - 1847 - 308 páginas
...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,... | |
| George Roberts Perkins - 1850 - 332 páginas
...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,... | |
| 582 páginas
...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 - 1852 - 436 páginas
...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.... | |
| Royal Military Academy, Woolwich - 1853 - 400 páginas
...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 - 1853 - 176 páginas
...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... | |
| Popular educator - 1854 - 1274 páginas
...triangles, &c. QED Scholium. The enunciation of this proposition may be thu» simplified : If two triangles **have two angles of the one, equal to two angles of the other, each to each, and** u side of the one equal to a side of the other similarly situated as to the equal angles, the two triangles... | |
| Thomas Lund - 1854 - 522 páginas
...the difference between any two sides is less than the third side. 39. PROP. XVII. If two triangles **have two angles of the one equal to two angles of the other, each to each, and** likewise the side which is common to those angles in the one equal to the side which is common to the... | |
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