 | Euclid - 1835 - 540 pages
...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 sides... | |
 | Mathematics - 1835 - 684 pages
...triangles, which are equal in every respect. PROP. 5. (Eue. i. 26, first part of.) If two triangles have two angles of the one equal to two angles of the other, each to each, and likewise the interjacent* sides equal ; their other sides shall be equal, each to... | |
 | John Playfair - Euclid's Elements - 1836 - 488 pages
...EBD, FBD hav« two angles-of the one equal to two anglesof the . other ; and the side BD, whichB F is opposite to one of the equal angles in each, is common to both ; therefore their other sides are equal c ; where- c 26. 1. fore DE is equal to DF. For the same reason, DG is... | |
 | John Playfair - Geometry - 1836 - 148 pages
...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... | |
 | Mathematics - 1836 - 488 pages
...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 - Euclid's Elements - 1837 - 332 pages
...; 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...equal angles in each, is common to both ; therefore their other sides are equal (26. 1.); wherefore DE is equal to DF. For the same reason, DG is equal... | |
 | William Whewell - 1837 - 226 pages
...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 the... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...all equal. Hence (I. 6.) CH is equal to HD, DK to KE, &c. Also, in the triangles CHD, DKE, there are two angles of the one equal to two angles of the other, and (hyp.) the sides CD, DE, are equal : therefore (I. 26.) the sides CH, HD are equal to DK, KE, each... | |
 | A. Bell - Conic sections - 1837 - 180 pages
...Def. 7)i and therefore the angles AFG, AEG, are also equal. The triangles AGE, AGF, have therefore two angles of the one equal to two angles of the other, and they have also the side AG common ; wherefore they are equal, and the side AF is equal to the side... | |
 | Charles Reiner - Geometry - 1837 - 254 pages
...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... | |
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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. 
