 | Euclides - 1862 - 140 pages
...Therefore, if two triangles, &c. QED PROPOSITION 26.— 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; namely, either the side adjacent to the equal angles in sach, or the aide opposite to them; then sholl... | |
 | Euclides - 1862 - 172 pages
...to the angle CFD ; (m. 27) and BFC is double of the angle KFC, and CFD double of CFL ; 145 there are two angles of 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 the other... | |
 | Euclides - 1863 - 122 pages
...(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... | |
 | University of Oxford - Education, Higher - 1863 - 328 pages
...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... | |
 | Henry White - 1864 - 156 pages
...EUCLID. Set to candidates for the Admiralty who selected Euclid as a subject for Examination. No. 1. 1. If two triangles have two angles of one equal to two...each to each, and one side equal to one side, viz. the side adjacent to the equal angles in each; then shall the other sides be equal, each to each, and... | |
 | Woolwich roy. military acad - 1864 - 588 pages
...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 the other sides be equal each to each,... | |
 | Euclides - 1864 - 448 pages
...equal to the right angle BFD ; (ax. 11.1 therefore the two triangles EBD, 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... | |
 | Queensland. Department of Public Instruction - Education - 1866 - 332 pages
...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 angles in each, or the side which is opposite to the equal angles... | |
 | Euclides - 1865 - 402 pages
...the right angle FCK is equal to the right angle FCL. Hence in the two triangles FKC, FLC, there are two angles of 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 the other... | |
 | Robert Potts - 1865 - 528 pages
...equal to the right angle BFD ; (ax. 1 1 .) therefore the two triangles EBD, 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... | |
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