 | Samuel Hunter Christie - 1847 - 172 σελίδες
...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... | |
 | George Roberts Perkins - 1847 - 326 σελίδες
...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,... | |
 | Euclides - 1847 - 128 σελίδες
...Proposition is the converse of the preceding. PROP. XXVI. THEOR. GEN. EMUN. — 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 angles, or... | |
 | John Playfair - 1849 - 332 σελίδες
...; and because 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...BD, which is opposite to one of the equal angles in £ach, is common to both ; therefore their other sides are equal (26. 1.); wherefore DE is equal to... | |
 | Euclid, Thomas Tate - 1849 - 120 σελίδες
...triangles EAF, EBF, there are two angles in one equal to two angles in the other, and the side EF, which is opposite to one of the equal angles in each, is common to both; therefore the other sides are equal (i. 26.); AF therefore is equal to FB. "Wherefore if a straight line, &c.... | |
 | George Roberts Perkins - 1850 - 332 σελίδες
...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,... | |
 | Adrien Marie Legendre - 1852 - 436 σελίδες
...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 σελίδες
...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...equal angles in each, is common to both ; therefore their other sides shall be equal (26. i.) ; wherefore DE is equal to DF : For the same reason, DG is... | |
 | Euclides - 1853 - 176 σελίδες
...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,...equal angles in each, is common to both ; therefore their other sides shall be equal (i. 26) ; wherefore de is equal to df For the same reason, dg is equal... | |
 | Euclides - 1853 - 146 σελίδες
...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... | |
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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. 
