| 1836 - 488 páginas
...opposite to the equal angles in each; then shall the other sides be equal, each to each ; and also **the third angle of the one to the third angle of the other.** XXVJI. If a straight line falling upon two other straight lines makes the alternate angles equal to... | |
| John Playfair - 1836 - 488 páginas
...angles, common to the two triangles ^herefore their other sides are equal, each to each, and the b 20. I. **third angle of the one to the third angle of the other** b, viz. the side AB to the side CD, and AC to BD, and the angle BAC equal to the angle BDC. And because... | |
| John Playfair - 1837 - 332 páginas
...opposite to the equal angles in each ; then shall the other side be equal, each to each ; and also **the third angle of the one to the third angle of the...angles DEF, EFD, viz. ABC to DEF, and BCA to EFD,** also one side equal to one side ; and first, let those sides be equal which are adjacent to the angles'... | |
| Euclides - 1837 - 112 páginas
...opposite to the equal angles in each : then shall the other sides be equal, A, each to each; and also **the third angle of the one to the third angle of the other.** Steps of the Demonstration to Case 1st. Suppose that AB ^ DK, and that a part of AB, as BG = DE, Then... | |
| Andrew Bell, Robert Simson - 1837 - 290 páginas
...opposite to the equal angles in each ; then shall the other sides be equal, each to each ; and also **the third angle of the one to the third angle of the other.** Or, if two angles and a side in one triangle be respectively equal to two angles and a corresponding... | |
| Euclid, James Thomson - 1837 - 410 páginas
...contained by those sides unequal : the base of that which has the greater angle is greater than the base **of the other. Let ABC, DEF be two triangles which have the** two sides AB, AC equal to the two DE, DF, each to each ; but the angle BAC greater than EDF; the base... | |
| Robert Simson - 1838 - 434 páginas
...sides opposite \ to equal angles in each ; then shall the other sides be equal, each to each; and also **the third angle of the one to the third angle of the...angles DEF, EFD, viz. ABC to DEF, and BCA to EFD;** also one side equal to one side ; and first let those sides be equal which are adjacent to the AD angles... | |
| Euclides - 1838 - 264 páginas
...equal angles, common to the two triangles ; therefore their other sides are equal, each to each, and **the third angle of the one to the third ».. , angle of the other,*** viz. the side AB to the side CD, and AC to BD, and the angle BAC equal to the angle BDC: and because... | |
| Euclides - 1841 - 378 páginas
...equal angles, common to the two triangles; therefore their other sides are equal, each to each, and **the third angle of the one to the third angle of the other,*** viz. the side AB to the side CD, and AC to BD, and the angle BAC equal to the angle BDC: and because... | |
| Euclides - 1842 - 316 páginas
...which is adjacent to their equal angles, therefore their other sides shall be equal, each to each, and **the third angle of the one to the third angle of the other** (26. 1.), viz. the side AB to the side CD, and AC to BD, and the angle BAC equal to the angle BDC:... | |
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