The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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Seite 29
Therefore AC is ( I. 27 ) parallel to BD ; and AC was proved to be equal to BD . Therefore , the straight lines which , & c . Q. E. D. The enunciation of this proposition is more clearly expressed thus : " The straight lines which ...
Therefore AC is ( I. 27 ) parallel to BD ; and AC was proved to be equal to BD . Therefore , the straight lines which , & c . Q. E. D. The enunciation of this proposition is more clearly expressed thus : " The straight lines which ...
Seite 159
But the base DF has been proved equal to the base F C. Therefore the angle FA D is equal ( I. 8 ) to the angle FB C. But it has been proved that GA is equal to B H , and also A F to FB . Therefore FA and A G are equal to FB and B H ...
But the base DF has been proved equal to the base F C. Therefore the angle FA D is equal ( I. 8 ) to the angle FB C. But it has been proved that GA is equal to B H , and also A F to FB . Therefore FA and A G are equal to FB and B H ...
Seite 192
Therefore the space S is greater ( V. 14 ) than the polygon EKFLGMHN ; but it is also less , as has been proved , which is impossible . Therefore the square of BD is not to the square of FH , as the circle ABCD is to any space less than ...
Therefore the space S is greater ( V. 14 ) than the polygon EKFLGMHN ; but it is also less , as has been proved , which is impossible . Therefore the square of BD is not to the square of FH , as the circle ABCD is to any space less than ...
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A B C ABCD altitude applied base bisected Book Cassell's centre circle circumference cloth coincide common cone Const contained Corollary cylinder definition demonstration described diagonal diameter divided double draw Edition equal equal angles equiangular equimultiples Exercise extremities fore four fourth given straight line greater half Illustrated inscribed interior join less magnitudes manner meet multiple parallel parallelogram parallelopiped pass perpendicular plane polygon prism PROBLEM produced PROP proportionals proposition proved pyramid ratio reason rectangle rectangle contained rectilineal figure remaining angle right angles segment shown sides similar solid solid angle sphere square straight lines A B taken THEOREM third triangle triangle ABC twice vertex Vols Wherefore whole
Bibliografische Informationen
| Titel | The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid Cassell's edition of Euclid Cassell's educational works |
| Autor/in | Euclid |
| Ausgabe | 82 |
| Verlag | Cassell, Petter, and Galpin, 1859 |
| Länge | 212 Seiten |
| Zitat exportieren | BiBTeX EndNote RefMan |