 | Evan Wilhelm Evans - Geometry - 1862 - 116 pages
...A and B by AF and BF, and the angles a and b by af and bf. Now, since the triangles ABF, abf, have two angles of the one equal to two angles of the other, they are similar (Cor., Theo. Ill) ; hence, ABF : abf : : AB2 : a&2 (Theo. VIII). Multiplying an extreme... | |
 | University of Oxford - Education, Higher - 1863 - 316 pages
...circle, 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... | |
 | 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
...to KCF, and the right angle FHC equal to the right angle FKC; therefore in the triangles FHC, FKC, there are two angles of the one equal to two angles of the other, each to each ; and the side FC, which is opposite to one of the equal angles in each, is common to... | |
 | 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... | |
 | Robert Potts - 1865 - 528 pages
...to KCF, and the right angle FHC equal to the right angle FKC; therefore in the triangles FHC, FKC, there are two angles of the one equal to two angles of the other, each to each ; and .the side FC, which is opposite to one of the equal angles in each, is common to... | |
 | Euclides - 1865 - 402 pages
...to KCF, and the right angle FHC equal to the right angle FKC ; then in the two triangles FHC, FKC, there are two angles of the one equal to two angles of the other, each to each ; and the side FC, which is opposite to one of the equal angles in each, is common to... | |
 | 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... | |
 | Mary W I. Shilleto - 1882 - 418 pages
...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,... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...7. And the right angle FCK is equal to the right angle FCL. Therefore in the two triangles FCK, FCL, there are two angles of the one equal to two angles of the other, each to each; and the side FC, which is adjacent to the equal angles in each, is common to both ; therefore... | |
| |
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. 
