 | 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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If two triangles have two angles of the one equal to two angles of the other, each to each, and also one side of the one equal to the corresponding side of the other, the triangles are congruent. 
