The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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Seite 99
X. When three magnitudes are continual proportionals , the first is said to have to the third the duplicate ratio of that ... and so on ; quadruplicate , etc. , increasing the denomination still by unity in any number of proportionals .
X. When three magnitudes are continual proportionals , the first is said to have to the third the duplicate ratio of that ... and so on ; quadruplicate , etc. , increasing the denomination still by unity in any number of proportionals .
Seite 100
signify certain ways of changing either the order or magnitude of pro- portionals , so that they continue still to be proportionals . [ The memory need not be burdened with these explanations until the proposition be studied to which ...
signify certain ways of changing either the order or magnitude of pro- portionals , so that they continue still to be proportionals . [ The memory need not be burdened with these explanations until the proposition be studied to which ...
Seite 136
If four straight lines be proportionals , the rectangle contained by the extremes is equal to the rectangle ... E- First , let the four straight lines A B , C D , E , and F be proportionals , viz . , A B to C D , as E to F. The ...
If four straight lines be proportionals , the rectangle contained by the extremes is equal to the rectangle ... E- First , let the four straight lines A B , C D , E , and F be proportionals , viz . , A B to C D , as E to F. The ...
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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 |