| Robert Simson - 1835 - 513 sider
...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 sides... | |
| 1835
...to А В С, and let the line EG meet DF, or DF produced in G. Then, because the triangles ABC, DEG **have two angles of the one equal to two angles of the other,** each to each, they are equiangular : therefore (31.) DE : EG ••AB: В С, but AB:BC::DE:EF: therefore... | |
| John Playfair - 1836 - 114 sider
...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... | |
| 1836 - 472 sider
...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,... | |
| William Whewell - 1837 - 182 sider
...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... | |
| John Playfair - 1837 - 318 sider
...GNK, and the angles GMK, GMN are both right angles by construction ; wherefore, the triangles GMK. GMN **have two angles of the one equal to two angles of the other, and** they have also the side GM common, therefore they are equal(26. l.),andthe side KM is equal to the... | |
| Andrew Bell - 1837 - 240 sider
...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,... | |
| A. Bell - 1837 - 164 sider
...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 - 1837 - 215 sider
...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... | |
| Euclid, James Thomson - 1837 - 390 sider
...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... | |
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