 | Thomas Perronet Thompson - 1833 - 168 pagina’s
...reasoning, the like may be proved in all other triangles under the same conditions. Wherefore, universally, if two triangles have two angles of the one, equal to two angles of the other respectively ; &c. Which was to be demonstrated. PROPOSITION XXVII. THEOREM. — If a straight line... | |
 | Euclid - 1833 - 216 pagina’s
...angles of Fig. 40. the one respectively equal to two angles of the other See N(B to D, and C to F), and a side of the one equal to a side of the other, (BC to DF or BA to DE), either the sides adjacent to or opposite to those equal angles ; the remaining... | |
 | Euclides - 1834 - 518 pagina’s
...BAC is greater than the angle EDF. Wherefore, if two triangles, &c. QED PROPOSITION XXVL THEOR. — 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, or the sides opposite... | |
 | 1835 - 684 pagina’s
...together equal to the angles А С D, ACB, that is, to two right angles (2.). Therefore, &c. Cor. 1. If two triangles have two angles of the one equal to two angles of the other, their third angles will likewise be equal to one another. Cor. 1. (Eue. i. 26, second part of.) Hence,... | |
 | Euclid - 1835 - 540 pagina’s
...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... | |
 | Robert Simson - 1835 - 544 pagina’s
...equal to KCF, and the right angle FHC equal to the right angle FKC; in the triangles FHC, FKC there are two angles of the one equal to two angles of the other, and the side FC, which is opposite to one of the equal angles in each, is common to both : therefore... | |
 | 1836 - 488 pagina’s
...which has the greater base, shall be greater than the angle contained by the sides of the other. XXVI. 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, or the sides opposite... | |
 | John Playfair - 1836 - 148 pagina’s
...bisected by BD, and that the right angle BED is equal to the right angle BFD, the two Iriangles 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... | |
 | Charles Reiner - 1837 - 246 pagina’s
...SECTION IV. two angles of the one is equal to the sum of the remaining two angles of the other. 2. If two triangles have two angles of the one equal to two angles of the other, each to each, the third angle of the one is equal to the third angle of the other ; that is, the triangles are equiangular.... | |
 | Charles Reiner - 1837 - 254 pagina’s
...and if the equal angles be subtracted from these equals, the remaining angles must be equal. M.—If two triangles have two angles of the one equal to two angles of the other, each to each, what may be said of the remaining third angles ? P.—They must be equal,—for the reason alleged... | |
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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. 
