 | Benjamin Greenleaf - Geometry - 1862 - 518 pages
...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 their sides... | |
 | Benjamin Greenleaf - Geometry - 1862 - 532 pages
...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.... | |
 | Euclides - 1862 - 140 pages
...angle FCH is equal to the angle FCK, and the right angle FHC equal to the right angle FK.C; two angles of the one equal to two angles of the other, each to each; 13. And the side FC, which is opposite to one of the equal angles in each, is common to both; 14. Therefore... | |
 | University of Oxford - Education, Higher - 1863 - 316 pages
...parallelogram, plane superficies. Write out Euclid's three postulates. 2. If two triangles have two angles of the one equal to two angles of the other, each to each, and the sides adjacent to the equal angles also equal, then shall the other sides be equal, each to each... | |
 | Euclides - 1863 - 74 pages
...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 each, or the sides... | |
 | Euclides - 1863 - 122 pages
...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 both. Therefore their... | |
 | Benjamin Greenleaf - Geometry - 1863 - 504 pages
...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.... | |
 | Euclides - 1864 - 448 pages
...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 each, or the sides... | |
 | Woolwich roy. military acad - 1864 - 588 pages
...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 each, then shall... | |
 | Henry White - 1864 - 156 pages
...Admiralty who selected Euclid as a subject for Examination. No. 1. 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... | |
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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. 
