 | Daniel Cresswell - Geometry - 1816 - 352 pages
...opposite to A, A', A", then, (IX.) . sin S s\n A sin «S'sin A .s\nS"s\nA" (235.) COR. 2. If two spherical triangles have two angles of the one equal to two angles of the other, each to each, or an angle of the one being equal to an angle of the other, if two other angles, one in each triangle,... | |
 | Encyclopaedia Perthensis - 1816 - 772 pages
...oppofite angles. Con. i. Any two angles of a triangle are together lefi than two right angles. COR. 3. If two triangles have two angles of the one equal to two angles of the other, the remaining angle of the one is equal to the remaining angle of the other. Coa. 4. The two acute... | |
 | Encyclopedias and dictionaries - 1816 - 764 pages
...oppofite angles. COR. ». Any two angles of a triangle are together lefs than two right angles. COR. 3. If two triangles have two angles of the one equal to two angles of the other, the remaining angle of the one is equal to the remaining angle of the other, COR. 4. The two acute... | |
 | Euclides - 1816 - 588 pages
...by BD, and that the right angle BED is equal to the right angle BFD, the two triangles • EBD, FED have two angles of the 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... | |
 | Daniel Cresswell - Euclid's Elements - 1817 - 454 pages
...straight line drawn from the vertex to the base, bisecting the vertical angle. PROP. XXXII. . • (xxvi.) If two triangles have two angles of the one equal to two angles of the other, the third angle of the one shall also be equal to the third angle of the other. (XXVII.) The angle... | |
 | John Playfair - 1819 - 354 pages
...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 equiil angles in each, is common to both ; therefore the other sides... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...by BD ; and because the right angle BED, is equal to the right angle BFD, the two triangles EBD, FBD have two angles of the 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... | |
 | John Mason Good - 1819 - 740 pages
...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... | |
 | Peter Nicholson - Architecture - 1823 - 210 pages
...parallel to CD, the 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) ; and... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...takes place when in each triangle two sides respectively equal, form an equal angle ; and also when two angles of the one, equal to two angles of the other, are formed on an equal side. It is easy to demonstrate these propositions in the same manner as in... | |
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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. 
