 | 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 - 326 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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If two triangles 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... 
