| Benjamin Donne - 1796 - 120 pages
...of another, the remaining angle of me nwji be equal to the remaining angle of the other. THEOREM 15. **If two triangles have two angles of one equal to two angles of the other, each to each, and one** s1de of one equal to one D side side of the other, the triangles are equal in every refpcEl. — 20... | |
| Alexander Ingram - Trigonometry - 1799 - 374 pages
...Cv.ED 84. i. b 34. i. PROP. BooK I. 54.i, PROP. XXVI. THEOR. TF two triangles have two angles of the **one equal to -*- two angles of the other, each to each ; and one** fide equal to one fide, viz. either the fides adjacent to the equal angles, or the fides oppofite to... | |
| Robert Simson - Trigonometry - 1804 - 530 pages
...to the angle EBC. and the angle AEG is equal to the angle BEH »; therefore the triangles AEG, BEH **have two angles of one equal to two angles of the other, each to each, and** the fides AE, EB, adjacent to the equal angles, equal to one another; wherefore they fhall have their... | |
| John Playfair - Euclid's Elements - 1806 - 320 pages
...equal to the angle FBD, and the right angle BED to the right angle BFD, the two triangles EBD, FBD **have two angles of one equal to two angles of the other** ; and the side BD, which is opposite to one of the equal angles in each, is common to both ; therefore... | |
| Euclid - Geometry - 1810 - 554 pages
...: and -the angle AEG is equal to the angle BEH « ; therefore the triangles AEG, BEH have two angks **of 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; wherec 36. 1. fore they shall... | |
| Euclides - 1816 - 588 pages
...to the angle EEC : And the angle AEG is equal to the angle BEHa: therefore the triangle's AEG, BEH **have two angles of one equal to two angles of the other, each to each, and** the sides AE, EB, adjacent to the equ^l angles, equal to one another: wherefore they shall have their... | |
| Daniel Cresswell - Geometry - 1816 - 352 pages
...of EFG ; each to each. PROP. XX. (115.) Theorem. If two spherical triangles have two angles of the **one equal to two angles of the other, each to each, and** the two sides about the third angle of the one, not quadrants, but equal to the two sides about the... | |
| John Mason Good - 1819 - 800 pages
...the angle contained by the equal to them of the other. 1 Prop. XXVI. Theor. If two triangles hive twn **angles of one equal to two angles of the other, each to each ; and one side equal to one side.** vi¿. either the sides adjacent to the equal angles, 01 the sides opposite to equal angles in each... | |
| John Playfair - Circle-squaring - 1819 - 350 pages
...Single FCK is equal to the right angle FCL ; and therefore 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 othar... | |
| Peter Nicholson - Architecture - 1823 - 210 pages
...alternate angles, GFE, FGH, are also equal; therefore the two triangles GEF, FHG, have two angles of the **one equal to two angles of the other, each to each ; and** the side FG, adjacent to the equal angles, common ; the triangles are therefore equal (theorem 6) ;... | |
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