 | Sandhurst roy. military coll - 1859 - 672 pages
...line on one side 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,... | |
 | Royal college of surgeons of England - 1860 - 332 pages
...these shall be less than the other two sides of the triangle, but shall contain a greater angle. 5. 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 adjacent to equal angles in each triangle... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...C is greater than the angle EDF. Wherefore, 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, viz, either the sides adjacent to the equal angles in... | |
 | Eucleides - 1860 - 396 pages
...angle EBC (b) : and the angle AEG is equal to the angle BEH (a) ; therefore the triangles AEG, BEH have two angles of the one, equal to two angles of the other, each to each, and the sides AE, EB, adjacent to the equal angles, equal to one another ; wherefore... | |
 | Horatio Nelson Robinson - Geometry - 1860 - 470 pages
...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.,... | |
 | War office - 1861 - 714 pages
...92-4 9. Reduce (f )2 to a decimal fraction. 10. Extract the square root of 4-20291001. Euclid. 1. If two triangles have two angles of the one equal to two angles of the other, each to each, and the side adjacent to the equal aii'/les in each triangle also equal, then shall the... | |
 | War office - 1861 - 260 pages
...consist of a sovereign and a shilling ? MATHEMATICS. Voluntary Paper, No. II. REV. WN GRIFFIN, MA 1. If two triangles have two angles of the one equal to two angles of the other, and one side equal to one side, namely, the sides which are opposite to equal angles in each, then... | |
 | Euclides - 1862 - 172 pages
...angle B*AC Is greater than the angle Wherefore, if two triangles, &c. QED PROP. 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 ; viz., either the side adjacent to the equal angles in... | |
 | Benjamin Greenleaf - Geometry - 1862 - 518 pages
...(Art. 34, Ax. 9) ; therefore GFE is equal to GCF, or DFE to BC A. Therefore the triangles ABC, DEF have two angles of the one equal to two angles of the other, each to each ; hence they are similar (Prop. XXII. Cor.). 266. Scholium. When the two triangles have... | |
 | Euclides - 1862 - 140 pages
...right angle BED is equal to the right angle BFD; (ax. 11.) 2. Therefore the two triangles EBD, FBD, have two angles of the one equal to two angles of the other, each to each; 3. And the side BD, which is opposite to one of the equal angles in each, is common to... | |
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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. 
