The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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Seite 60
Next only two straight lines drawn to the circumference from F can be equal to each other , one being on each side of A D. At the point E in the straight line E F make the angle FE H equal to the angle FEG . Join FH .
Next only two straight lines drawn to the circumference from F can be equal to each other , one being on each side of A D. At the point E in the straight line E F make the angle FE H equal to the angle FEG . Join FH .
Seite 66
Q. E. D. This proposition might be proved by producing EH , cutting off the line thus produced a part equal to E K , and through the point of section , drawing a chord parallel to BC , meeting the circumference .
Q. E. D. This proposition might be proved by producing EH , cutting off the line thus produced a part equal to E K , and through the point of section , drawing a chord parallel to BC , meeting the circumference .
Seite 67
Therefore DF is less than DG , and the point F is within the circumference ( III . Ax . 1 ) . But the point F is in the straight line A C. Therefore the straight line A C cuts the circumference . Therefore , if a straight line pass ...
Therefore DF is less than DG , and the point F is within the circumference ( III . Ax . 1 ) . But the point F is in the straight line A C. Therefore the straight line A C cuts the circumference . Therefore , if a straight line pass ...
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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 touch 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 |