 | John Playfair - 1855 - 334 sider
...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 ECD, that is A CD, is greater than BAE : In the same manner, if the side BC be bisected, it may be... | |
 | Euclides - 1860 - 288 sider
...the 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...angle ECD is greater than the angle ECF; therefore (Ax. 14) the angle ECD, that is, ACD, is greater than BAE. In the same manner, if the side BC be bisected,... | |
 | Robert Potts - 1860 - 380 sider
...triangle to the remaining angles of the other, each to each, to which the equal sides are opposite ; wherefore the angle BAE is equal to the angle ECF; but the angle ECD or A CD is greater than the angle ECF; therefore the angle A CD is greater than the angle BAE or BAC.... | |
 | Euclides - 1862 - 172 sider
...the 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;...greater than the angle ECF ; therefore the angle ACD IB greater than the angle BAE. In the same manner, if the side BC be bisected, and AC be produced to... | |
 | Euclides - 1864 - 448 sider
...triangle to the remaining angles of the other, each to each, to which the equal sides are opposite ; wherefore the angle BAE is equal to the angle ECF; but the angle ECD or A CD is greater than the angle ECF; therefore the angle ACD is greater than the angle BAE or BAC.... | |
 | Euclides - 1864 - 262 sider
...triangle to the remaining angles of the other, each to each, to which the equal sides are opposite ; wherefore the angle BAE is equal to the angle ECF; but the angle ECD or A CD is greater than the angle ECF; therefore the angle A CD is greater than the angle BAE or BAC.... | |
 | Euclides - 1865 - 402 sider
...the remaining angles, each to each, to which the equal sides are opposite; wherefore the angle BAE u equal to the angle ECF; but the angle ECD is greater...therefore the angle ACD is greater than the angle BAE. In the same manner, if the side BC be bisected, and AC be produced to G, it may be demonstrated that... | |
 | Euclides - 1865 - 80 sider
...and CEF are equal, because (7) they are vertical angles; the triangles ABE and CFE \& are (12) equal; wherefore the angle BAE is equal to the angle ECF; but the angle BCD is greater (Ax. 8) than ECF ; therefore the angle ECD or ACD is greater than the angle BAE or BAC.... | |
 | Euclid, Isaac Todhunter - 1867 - 424 sider
...the remaining angles, each to each, to which the equal sides are opposite ; [I. 4. u Oy rj therefore the angle BAE is equal to the angle ECF. But the angle ECD is greater than the angle ECF. [Axiom 9. Therefore the angle ACD is greater than the angle BAE. In the same manner if BC be bisected,... | |
 | Euclid, Isaac Todhunter - 1867 - 426 sider
...angles to the remaining angles, each to each, to which the equal sides are opposite ; [I. 4. therefore the angle BAE is equal to the angle ECF. But the angle ECD is greater than the angle ECF. [Axiom 9. Therefore the angle ACD is greater than the angle BAE. In the same manner if 5G'be bisected,... | |
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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... 
