| Euclides - 1874 - 120 pages
...the re- \ maining 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.** [Ax. 9.] Therefore the angle ACD is greater than the angle BAE. In the same manner if BC be bisected,... | |
| Euclides - 1874 - 342 pages
...the remaining angles of the other, each to each, to which the equal sides are opposite. Wherefore 4. **The angle BAE is equal to the angle ECF, but the angle ECD** or A CD is greater than the angle ECF, therefore 5. The angle ACD is greater than the angle BAE or... | |
| Robert Potts - Geometry - 1876 - 446 pages
...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.... | |
| Āryabhaṭa - 1878 - 100 pages
..."are opposite. Wherefore the angle BAF is equal to the angle ECF. But the angle FCD is greater (Ax. 7) **than the angle ECF. Therefore the angle ACD is greater than the angle** BAF, In the same manner, if the side BC be bisected, and AC be produced to G, it maybe demonstrated... | |
| Moffatt and Paige - 1879 - 428 pages
...the equal sides are opposite. Therefore the angle BAE is equal to the angle EC F. But the angle ACD **is greater than the angle ECF therefore the angle ACD is greater than the angle** BA E. In the same way, if BC be bisected, and AC be produced to G, it may be demonstrated that the... | |
| Isaac Todhunter - Euclid's Elements - 1880 - 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 BCbe bisected,... | |
| Euclid - Geometry - 1892 - 460 pages
...CEF; I. lo. therefore the triangle AEB is equal to the triangle CEF in all respects : I. 4. so that **the angle BAE is equal to the angle ECF. But the angle ECD is greater than** its part, the angle ECF: therefore the angle ECD is greater than the angle BAE: that is, the angle... | |
| Henry Martyn Taylor - 1893 - 486 pages
...; (Prop. 4.) therefore the angle BAE (or BAC) is equal to the angle FCE. Now the angle ECD (or ACD) **is greater than the angle ECF. Therefore the angle ACD is greater than the angle** BAC. Similarly it can be proved that the angle BCG, which is made by producing AC and is equal to the... | |
| Henry Martyn Taylor - Euclid's Elements - 1895 - 708 pages
...(Prop. 4.) therefore the angle BA E (or BAC) is equal to the angle FCE. Now the angle ECD (or ACD) **is greater than the angle ECF. Therefore the angle ACD is greater than the angle** BA C. Similarly it can be proved that the angle SCG, which is made by producing AC and is equal to... | |
| Seymour Eaton - 1899 - 362 pages
...which the equal sides are opposite (Proposition 4); therefore the angle BAE is equal to the angle EOF. **But the angle ECD is greater than the angle ECF. Therefore the angle** ECD is greater C*. \o than the angle BAE. That is to say, the angle A CD is greater than the angle... | |
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