| Euclides - 1863 - 74 pages
...; or nice versa.— LARDXEB.S Euclid, p. 56. 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... | |
| Euclides - 1863 - 122 pages
...and the right angle BED (I. Ax. 11) to the right angle BFD. Therefore the two triangles E BD and FBD **have two angles of the one equal to two angles of the other,** each to each ; and the side BD, which is opposite to one of the equal angles in each, is common to... | |
| Benjamin Greenleaf - Geometry - 1863 - 504 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.). homologous. Thus, DE is homologous with AB,... | |
| Euclides - 1864 - 448 pages
...than the angle EDF. "Wherefore, if two triangles, &e. 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... | |
| Woolwich roy. military acad - 1864 - 588 pages
...positive integers and unequal, prove (ab + ac + bc)(a + b+c) greater than Qabc. 9. 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 side opposite to one of the equal angles in... | |
| Euclides - 1865 - 402 pages
...greater than the angle EDF. 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... | |
| Queensland. Department of Public Instruction - Education - 1866 - 336 pages
...paper.) 1. Define a circle, a riyhl angle, a rhomboid, the angle in a segment. 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., either the side which is adjacent to the equal... | |
| Robert Potts - 1865 - 528 pages
...the angle EBC: and the angle AEG is equal to the angle BEH: (i. 15.) 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... | |
| Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...of DG and EG, by 1. 1 1 ; 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.... | |
| Mary W I. Shilleto - 1882 - 418 pages
...advised not to confine themselves to one paper, but to make use of the whole set. 1. 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,... | |
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