 | Edinburgh univ - 1868 - 336 pages
...find the interest of ^355, 15s. for four years, at 4 per cent. per annum. 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 (viz. , the sides adjacent to the equal angles) ; then shall the other sides... | |
 | Benjamin Greenleaf - Geometry - 1868 - 340 pages
...proportional ; and consequently the two triangles are similar (Art. 210). 260. Cor. Two triangles having two angles of the one equal to two angles of the other, each to each, are similar ; since the third angles will also be equal, and the two triangles be equiangular. 261.... | |
 | Robert Johnston (F.R.G.S.) - Civil service - 1869 - 196 pages
...field in levelling for sections. EUCLID. I. Specimen Paper. 1. 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., the side adjacent to the equal angles in each ; then shall the other... | |
 | Euclides - 1871 - 136 pages
...less than BC. QED a.* 8 NOTE XVI. Euclid's Proof of Prop. XXVI. of Book I. 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... | |
 | Elias Loomis - Geometry - 1871 - 302 pages
...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 inclu ded between the equal angles, common ; hence the triangles are equal (Prop. VII.)... | |
 | Henry William Watson - Geometry - 1871 - 320 pages
...LAK and LKA equal to the angles GCF and GFC respectively. Because the triangles ABH and CDE have two angles of the one equal to two angles of the other, each to each, therefore they are similar, therefore the angle AHB is equal to the angle CED, and A "D ~ the ratios... | |
 | Dublin city, univ - 1871 - 366 pages
...BARLOW. 1. If in two triangles two angles in one be eqtisl, respectively, to two angles in the other, and a side of one equal to a side of the other, either adjacent to, or opposite equal angles : the triangles are equal in every respect ? 2. Equal... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...that side is called the Vertex of the triangle. PKOPOSITION B. THEOREM. If two triangles have ttco angles of the one equal to two angles of the other, each to each, and the sides adjacent to the equal angles in each also equal; then must the triangles be equal in all... | |
 | Euclides - 1879 - 146 pages
...than Z. EDF. Therefore, if two triangles, &c. QED PROPOSITION XXVI. THEOREM. 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 in each, or the sides... | |
 | Moffatt and Paige - 1879 - 428 pages
...triangles have two sides of the one, etc. QED Proposition XXVI. Theorem. 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 t}le sides adjacent to the equal angles in each or the sides... | |
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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. 
