 | John Playfair - 1836 - 148 σελίδες
...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 - 488 σελίδες
...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 - 226 σελίδες
...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.... | |
 | A. Bell - 1837 - 180 σελίδες
...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 - 254 σελίδες
...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... | |
 | Andrew Bell - 1837 - 290 σελίδες
...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,... | |
 | Euclides - 1838 - 264 σελίδες
...to KCF, and the right angle FHC equal to the right angle FKC ; therefore in the triangles FHC, FKC there are two angles of the one equal to two angles of the other, each to each ; and the side FC, which is opposite to one of the equal angles in each, is common to... | |
 | Robert Simson - 1838 - 434 σελίδες
...by BD, and that 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 their... | |
 | Thomas Kerigan - 1838 - 804 σελίδες
...the angle BCD, by the aforesaid proposition. And because the two triangles ADF and BCF have, thus, two angles of the one equal to two angles of the other, viz., the angle FAD to the angle FB C, and the angle AD F to the angle BCF; and the side AF of the... | |
 | Euclides - 1841 - 378 σελίδες
...and the right angle FCK is equal to the right angle FCL: therefore, in the two triangles FKC, FLC, there are two angles of the one equal to two angles of the other, each to each, and the side FC, which is adjacent to the equal angles in each, is common to both; therefore... | |
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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. 
