 | Euclides - 1847 - 128 σελίδες
...This 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 the sides opposite... | |
 | 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,... | |
 | Elias Loomis - 1849 - 252 σελίδες
...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 σελίδες
...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 - 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,... | |
 | 582 σελίδες
...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 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.... | |
 | Euclides - 1852 - 152 σελίδες
...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 σελίδες
...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 - 1853 - 400 σελίδες
...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. 
