 | Euclides - 1856 - 168 σελίδες
...BAC, and the angle ABE is equal to the angle ABC (being both right angles), the triangles ABC, ABE have two angles of the one equal to two angles of the other, and the side AB common to the two. Therefore the triangles ABC, ABE are equal, and the side AE is equal... | |
 | Elias Loomis - 1857 - 242 σελίδες
...is parallel to CD, the alternate angles GHE, HEF are also equal. Therefore, the triangles HEF, EHG have two angles of the one equal to two angles of the other, each to each, and the side Eli included between the equal angles, common ; hence the triangles are equal (Prop. VII.) ; and the... | |
 | Adrien Marie Legendre, Charles Davies - 1857 - 442 σελίδες
...consequently, the two equiangular triangles BA C, CUD, are 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 equian gular (BI, p. 25,... | |
 | Elias Loomis - 1858 - 256 σελίδες
...is parallel to CD, the alternate angles GHE, HEF are also equal. Therefore, the triangles HEF, EHG have two angles of the one equal to two angles of the other, each to each, and the side Eli included between the equal angles, common ; hence the triangles are equal (Prop. VII.) ; and the... | |
 | Euclides - 1858 - 248 σελίδες
...demonstration of the following propositions. PROP. 26.— THEOR. — (Important.) 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 in each, or the sides... | |
 | Euclides - 1868 - 88 σελίδες
...Hyp. Cone. Sap. HP 24. HypConol. D. 5. 9. Concl. Recap. PROP. XXVI. THEOR. If tu-o triangles have t\co angles of the one equal to two angles of the other, each to and one side equal to one side, viz., either the sides adjacent to the equal angles in each, or the... | |
 | W. Davis Haskoll - 1858 - 422 σελίδες
...angle in each, contained by proportional sides, are similar to each other. Any two triangles having two angles of the one equal to two angles of the other, are similar triangles, because the three angles of the one triangle are equal to the three angles of... | |
 | Sandhurst roy. military coll - 1859 - 672 σελίδες
...of it, either arc two right angles, or are together equal to two right angles. 2. 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, namely, either the sides adjacent to the equal angles, or the sides which... | |
 | Horatio Nelson Robinson - 1860 - 470 σελίδες
...the |_'s PFB and PEC, we have the remaining [_'s, AFC and AEB, equal. Hence, the A's, AFC and AEB, have two angles of the one equal to two angles of the other, each to each, and the included sides equal; the remaining sides and angles are therefore equal, (Cor., Prop. 9). Therefore,... | |
 | Stewart W. and co - 1884 - 272 σελίδες
...to it ; therefore the angle BAC is greater than EDF. XXVI. — 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... | |
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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. 
