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
| Euclides - 1838 - 264 σελίδες
...equal to EC, and FE common to the triangles BEF, CEF, the two sides FE, EB are equal to the two FE, EC each to each; but the angle BEF is greater)- than the angle CEF; thereist i fore V1e base FB is gfeater* than the base FC : therefore the line which is nearer to that... | |
| John Playfair - 1842 - 332 σελίδες
...the third, BE, EF are greater than BF ; but AE is equal to EB ; therefore AE and EF, that is, AF, is greater than BF : Again, because BE is equal to CE,...BEF, CEF, the two sides BE, EF are equal to the two CE,EF; but the angle BE F is greater than the angle CEF ; therefore the base BF is greater (24. 1.)... | |
| Euclides - 1842 - 316 σελίδες
...EF are greater than BF : but AE is equal to EB; therefore AE, EF, that is AF, is greater than в F. Again : because BE is equal to CE, and FE common to...BEF, CEF, the two sides BE, EF are equal to the two c E, EF ; but the angle BEF is greater than the angle CEF; therefore the base BF is greater (24. l.)than... | |
| Euclides - 1845 - 546 σελίδες
...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,...therefore the base BF is greater than the base CF . (i. 24.) For the same reason CF is greater than GF. Again, because GF, FE are greater than EG, (i.... | |
| Euclid - 1845 - 218 σελίδες
...i. the third, BE, EF are greater than BF: But AE is equalf to EB ; therefore AE, EF, that is AF. is greater „ / than BF : Again, because BE is equal...CEF, the two sides BE, EF are equal to the two CE, EF ; but the angle BEF is greaterJ than the * t 9 , angle CEF; therefore the base BF is greater|| than... | |
| Euclid, James Thomson - 1845 - 382 σελίδες
...Take away the common part FE, and (I. ax. 5) the remainder CF is greater than the remainder FD. 3. Again, because BE is equal to CE, and FE common to the triangles BEF, CEF; but the angle BEF is greater than CEF : therefore (I. 24) the base BF is greater than the base CF.... | |
| Euclid, John Playfair - 1846 - 334 σελίδες
...the third, BE, EF are greater than BF ; but AE is equal to EB ; therefore AE and EF, that is, AF, is greater than BF : Again, because BE is equal to CE,...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. 1.) than the... | |
| Euclides - 1846 - 292 σελίδες
...to AE ; therefore AE, EF, that is AF, is greater than BF : Again, because BE is equal to CE, and EF 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 (1. 24) the base BF is greater than the... | |
| Euclid, Thomas Tate - 1849 - 120 σελίδες
...than the third, BE, EF are greater than BF ; but AE is equal to EB; therefore AE, EF, that is AF, is greater than BF: Again, because BE is equal to CE,...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 (i. 24.) than the... | |
| Euclides - 1853 - 146 σελίδες
...BE, EF, are greater than BF; but AEia equal (I. Def. 15.) to EB; therefore 2. AE, EF, that is, AF, is greater than BF. Again, because BE is equal to CE,...sides BE, EF, are equal to the two CE, EF, each to eacli ; but the angle BEF is greater than the angle CEF; therefore (I. 24.) 3. The base BFis greater... | |
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