 | John Playfair - 1819 - 354 pages
...angles to the 're-,maining angles, each to each, to which the equal sides are opposite ; wherefore the angle BAE is equal to the angle ECF ; but the...is greater than the angle ECF ; therefore the angle ECD, that is ACD, is greater than BAE : la the same manner, if the side BC be bisected, it may be demonstrated... | |
 | George Lees - 1826 - 276 pages
...vertical angles b ; therefore, the two triangles AEB and CEF are equal in every respectC ; consequently, the angle BAE is equal to the angle ECF ; but the angle ECD is greater than the angle ECFd ; therefore, the angle a Ax. 9. ECD, that is, ACD is also greater than the angle BAE, or BAC.... | |
 | Euclides - 1826 - 226 pages
...remaining angles to the remaining angles each to each, to which the equal sides are opposite. Therefore the angle BAE is equal to the angle ECF. But the angle ACD is greater than ECF. Therefore the anole ACD is greater than the angle BAE. In like manner it may... | |
 | Euclid - 1826 - 234 pages
...remaining angles to the remaining angles each to each, to which the equal sides are opposite. Therefore the angle BAE is equal to the angle ECF. But the angle ACD is greater than ECF. Therefore the angle ACD is greater than the angle BAE. In like manner it may... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...remaining angles to the remaining angles, each to each, to which the equal sides are opposite: wherefore the angle BAE is equal to the angle ECF: but the angle ECD is greater f than the | 9 Ax. angle ECF, therefore the angle ACD is greater than BAE. In the same manner, if the... | |
 | John Playfair - Euclid's Elements - 1833 - 346 pages
...remaining angles to the remaining angles each to each, to which the equal sides are opposite; wherefore the angle BAE is equal to the angle ECF ; but the angle BCD is greater than the angle ECF ; therefore the angle ECD, that is ACD, is greater than BAE : In... | |
 | Euclid - 1835 - 540 pages
...remaining angles to the remaining angles, each to each, to which the equal sides are opposite ; wherefore the angle BAE is equal to the angle ECF; but the angle...angle ECF ; therefore the angle ACD is greater than BAE : In the same manner, if the side BC be bisected, it may be demonstrated that the angle BCG, that... | |
 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...remaining angles to the remaining angles, each to each, to which the equal sides are opposite ; wherefore the angle BAE is equal to the angle ECF ; but the...is greater than the angle ECF ; therefore the angle ECD, that is, ACD, is greater than BAE. In the same manner, if the side BC be bisected, it may be demonstrated... | |
 | Robert Simson - Geometry - 1838 - 434 pages
...to each, to which the equal sides are opposite ; wherefore the angle BAE is equal to the angle EOF ; but the angle ECD is greater than the angle ECF ; therefore the angle ACD is greater than BAE : in the same manner, if the side BC be bisected, it may be demonstrated that the angle BCG, that... | |
 | Euclides - Geometry - 1841 - 378 pages
...remaining angles to the remaining angles, each to each, to which the equal sides are opposite; wherefore the angle BAE is equal to the angle ECF; but the angle...angle ECF; therefore the angle ACD is greater than BAE. In like manner, if the side BC be bisected, and AC be produced to 6, it may be demonstrated that... | |
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CF, and the triangle AEB to the triangle CEF, and the remaining angles to the remaining angles, each to each, to which... 
