The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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Seite 49
If a straight line be bisected , and produced to any point , the squares of the whole line thus produced , and of the part of it produced , are together double of the square of half the line bisected , and of the square of the line made ...
If a straight line be bisected , and produced to any point , the squares of the whole line thus produced , and of the part of it produced , are together double of the square of half the line bisected , and of the square of the line made ...
Seite 147
Produce XP to R , and OP to S. The straight line A B is divided at S , as required . ... altitude described on the whole line thus produced and on the part produced , the one on the part produced may be similar to a given parallelogram ...
Produce XP to R , and OP to S. The straight line A B is divided at S , as required . ... altitude described on the whole line thus produced and on the part produced , the one on the part produced may be similar to a given parallelogram ...
Seite 148
H parallelogram GH , are greater than the homologous sides EF and FL of the parallelogram E L. Produce F L and F E ... the same diagonal F X. Produce LB to P , and A B to O. The straight line AB is produced to O as re- quired ( IV .
H parallelogram GH , are greater than the homologous sides EF and FL of the parallelogram E L. Produce F L and F E ... the same diagonal F X. Produce LB to P , and A B to O. The straight line AB is produced to O as re- quired ( IV .
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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 |