 | Euclides - 1834 - 518 pages
...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... | |
 | Mathematics - 1835 - 684 pages
...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 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 Book IV.... | |
 | Robert Simson - Trigonometry - 1835 - 544 pages
...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 the other... | |
 | Mathematics - 1836 - 488 pages
...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,... | |
 | John Playfair - Geometry - 1836 - 148 pages
...four right angles : therefore all the exterior angles are equal to four right angles. PROP. VI. 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, the triangles shall be equivalent. Let ABC, DEF be two... | |
 | Charles Reiner - Geometry - 1837 - 246 pages
...OF 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... | |
 | William Whewell - 1837 - 226 pages
...angle; therefore MLN is equal to LKH; and the angles at H and at N are right angles. Therefore the triangles have two angles of the one equal to two angles of the other ; and the side KL is equal to LM. Therefore the triangles are equal, and HL is equal to MN; that is, to RS. In... | |
 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...not equal to it ; therefore the angle BAC is greater than the angle EDF. PROPOSITION XXVI. 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 sides adjacent to the equal angles,... | |
 | Charles Reiner - Geometry - 1837 - 254 pages
...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... | |
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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. 
