 EF, that is, AF, is greater than BF : Again, because BE is equal to CE, and FE common to the triangles BEF, CEF, the two sides BE, EF are equal to the two CE, EF; but the angle BEF is greater than the angle CEF ; therefore the base BF is greater (24....  Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ... - Σελίδα 126των Euclides - 1864Πλήρης προβολή - Σχετικά με αυτό το βιβλίο
 | Euclid, Isaac Todhunter - 1867 - 424 σελίδες
...is greater than BF. Again, because BE is equal to CE, [I. Definition 15. and lSFis common to the two triangles BEF, CEF; the two sides BE, EF are equal to the two sides CE, EF, each to each ; but the angle BEF is greater than the angle CEF; therefore the base FB... | |
 | Robert Potts - 1868 - 434 σελίδες
...therefore BE, EFaxe greater than BF: but AE is equal to BE; (I. def. 15.) therefore AE, EF, that is, AFis greater than BF. Again, because BE is equal to CE,...therefore the base BF is greater than the base CF. (I. 24.) For the same reason CFis greater than GF. Again, because GF, FE are greater than EG, (I. 20.)... | |
 | Henry Major - 1873 - 588 σελίδες
...AF is greater than BF. Because BE is equal to CE, and EF is common to BEF, CEF; BE, EF are equal to CE, EF, each to each ; but the angle BEF is greater than CEF ; therefore FB is greater than FC. In the same manner it may be shewn that FC is greater than FG.... | |
 | Euclides - 1874 - 342 σελίδες
...BE, EF are greater than BF; but AE is equal to BE (I. Def. 15) ; therefore 2. AE, EF, that is, AF is greater than BF. Again, because BE is equal to CE,...is greater than the angle CEF (Ax. 9) ; therefore 3. 1 he base BF is greater than the base CF (I. 24). For the same reason, 4. CF is greater than GF.... | |
 | Edward Atkins - 1874 - 426 σελίδες
...AE, EF, that is, AF is greater than BF. Again, because BE is equal to CE, and EF common to the two triangles BEF, CEF, the two sides BE, EF are equal...each. But the angle BEF is greater than the angle CEF ; And Therefore the base FB is greater than the base FC bsseBF /T 94\ p-baseFC \ **/• In the same... | |
 | Robert Potts - 1876 - 446 σελίδες
...therefore BE, EF are greater than BF: but AE is equal to BE; (I. def. 15.) therefore AE, EF, that is, AF is greater than BF. Again, because BE is equal to CE,...than GF. Again, because GF, FE are greater than EG, (I. 20.) and EG is equal to ED ; therefore GF, FE are greater than ED : take away the common part FE,... | |
 | Edward Atkins - 1876 - 130 σελίδες
...AE, EF, that is, AF is greater than BF. Again, because BE is equal to CE, and EF common to the two triangles BEF, CEF, the two sides BE, EF are equal...each. But the angle BEF is greater than the angle CEF ; And Therefore the base FB is greater than the base FG tascIW /!_ 24). In the same manner it may be... | |
 | Isaac Todhunter - 1880 - 426 σελίδες
...AFis greater than BF. Again, because BE is equal to CE, [I. Definition 15. and EFis common to the two triangles BEF, CEF; the two sides BE, EF are equal to the two sides CE, EF, each to each ; but the angle BEF is greater than the angle CEF ; therefore the base FB... | |
 | Euclides - 1881 - 236 σελίδες
...and EF are greater than B F. But AE is equal (I. Def. 15) to B E. Therefore AE and EF, that is, AF is greater than BF. Again, because BE is equal to CE, and FE, common to the two triangles BEF, CEF, the two sides BE and EF are equal to the two sides CE and EF, each to each.... | |
 | Euclid, Isaac Todhunter - 1883 - 428 σελίδες
...is greater than BF. Again, because BE is equal to CE, [t. Definition 15. and EFis common to the two triangles BEF, CEF; the two sides BE, EF are equal to the two sides CE, EF, each to each ; but the angle BEF is greater than the angle CEF ; therefore the base FB... | |
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