| 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,... | |
| 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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