 | Euclides - 1860 - 288 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 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 - Geometry, Plane - 1860 - 380 pages
...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 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...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 - 262 pages
...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 - 1864 - 448 pages
...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 - 1865 - 402 pages
...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 pages
...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 - Euclid's Elements - 1867 - 424 pages
...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 - Euclid's Elements - 1867 - 426 pages
...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,... | |
 | Robert Potts - 1868 - 434 pages
...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 ACD is greater than the angle ECF; therefore the angle A CD is greater than the angle BA E or BA... | |
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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... 
