 | Civil service - 1866 - 270 pages
...Euclid as a subject of examination. Time allowed, Three hours. 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... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...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 the two cases of I. 26 in one enunciation... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...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 the two cases of I. 26 in one enunciation... | |
 | Edinburgh univ - 1868 - 334 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... | |
 | Robert Potts - 1868 - 434 pages
...the angle BA C is greater than the angle EDF. PROPOSITION XXVI. THEOREM. If two triangles have two angles of the one equal to two angles of the other, each to each, and one tide equal to one side, viz, either the sides adja cent to the equal angles in each, or the 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... | |
 | 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.) ;... | |
 | Edward Atkins - 1877 - 72 pages
...Therefore, if two triangles, <tc. QED Proposition 26. — Theorem. Jf two triangles have two angles 0} the one, equal to two angles of the other, each to each, and one side equal to one side — namely, either the side adjacent to the equal angles in, each, or the... | |
 | William Henry Harrison Phillips - Geometry - 1878 - 236 pages
...and hence equal (15). xxui. If two spherical triangles on the same sphere, or equal spheres, have two angles of the one equal to two angles of the other, each to each, and the included sides equtd, the triangles will be congruent or symmetrical, and equal (15). XXIV. If two... | |
| |
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. 
