| Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...sum of DG and EG, by I. n ; and therefore EF is less than EG. I. 26. It will appear after I. 32 that **two triangles which have two angles of the one equal to two angles of the other,** each to each, have also their third angles equal. Hence we are able to include thu two cases of I.... | |
| Euclides - 1883 - 176 pages
...Assuredly the proposition is not complete without a proof of this fact. EU. I. 26. THEOR. 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 (1st) the side adjacent to the equal angles... | |
| Education - 1883 - 654 pages
...coincide with the vertex of the given angle and then the construction would fail. 3. 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... | |
| Alfred Hix Welsh - Geometry - 1883 - 326 pages
...R. Therefore, the sum of the angles of a triangle equals two right angles. Cor.—If two triangles **have two angles of the one equal to two angles of the other,** the third angles will be equal. If, now, a = d and b = e, For, (1) a + b + c = 2 R. and (2) d + e +... | |
| Mathematical association - 1883 - 86 pages
...[Alternative proofs, (i) by Theors. 16 and 5. (ii) By Theors. 7 and 5.] THEOR. 19. If two triangles **have two angles of the one equal to two angles of the other,** each to each, and have likewise the sides opposite to one pair of equal angles equal, then the triangles... | |
| Woolwich roy. military acad - 1884 - 148 pages
...another. What other converse proposition may be obtained from Proposition V., Book I.? 3. 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, the sides opposite to the equal angles in each,... | |
| Euclides - 1884 - 94 pages
...Props. 1-26, Book I, are now published in a similar form to this. PROPOSITION XXVI. 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... | |
| Mathematical association - 1884 - 146 pages
...that the straight line joining their vertices bisects the vertical angles. THEOR. 19. If two triangles **have two angles of the one equal to two angles of the other,** each to each, and have likewise the sides opposite to one pair of equal angles equal, then the triangles... | |
| Palaestra Oxoniensis - 1884 - 204 pages
...three given straight lines, of which any two are together greater than the third. (5) If two triangles **have two angles of the one equal to two angles of the other,** each to each, and have one side equal to one side, viz. either the sides adjacent to the equal angles... | |
| Evan Wilhelm Evans - Geometry - 1884 - 242 pages
...angles A and B by AF and BF, and the angles a and 6 by af and bf. Now, since the triangles ABF, abf, **have two angles of the one equal to two angles of the other,** they are similar (Cor., Theo. IX) ; hence, ABF : abf= AB2 : o&2 (Theo. XIV). Multiplying first couplet... | |
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