| Euclides - 1846 - 272 pages
...angle F, nor less than it, it will be greater. PROPOSITION XXVI. THEOREM. If two triangles (BAC, DEF) **have two angles of the one equal to two angles of the other** (B to D and C to F) ; and a side of one equal to a side of the other, that is, either the sides which... | |
| Euclid, John Playfair - Euclid's Elements - 1846 - 332 pages
...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 pages
...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 - 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,... | |
| 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,... | |
| 1867 - 336 pages
...which can be drawn to the four angles from any point, except the intersection of the diagonals. 3. **If two triangles have two angles of the one equal to two angles of the** otner, each to each, and one side equal to one side, viz., the sides opposite to equal angles in each,... | |
| 582 pages
...opposite sides of 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 - 1853 - 146 pages
...the right angle BED is equal (Ax. 11.) to the right angle BFD; therefore the two triangles EBD, FBD, **have two angles of the one equal to two angles of the other, each to each , and** the side BD, which is opposite to one of the equal angles in each, is common to both ; therefore their... | |
| Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...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... | |
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