The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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Seite 183
For , if the bases EH and NP be equal , but the altitudes AG and CM not equal , neither is the solid A B equal to the solid CD . But the solids ( Hyp . ) are equal . Therefore the altitude CM is not unequal to the altitude A G ; that is ...
For , if the bases EH and NP be equal , but the altitudes AG and CM not equal , neither is the solid A B equal to the solid CD . But the solids ( Hyp . ) are equal . Therefore the altitude CM is not unequal to the altitude A G ; that is ...
Seite 199
R H K the solid E O is to the altitude of the solid B L. But the altitude of the solid EHPO is the same with the altitude of the ... Wherefore , the bases and altitudes of the pyramids ABCG and DEFH are reciprocally proportional .
R H K the solid E O is to the altitude of the solid B L. But the altitude of the solid EHPO is the same with the altitude of the ... Wherefore , the bases and altitudes of the pyramids ABCG and DEFH are reciprocally proportional .
Seite 207
ES is a cylinder , of which the base is the circle E F G H , and altitude MP . Because the cylinder A X is equal to the cylinder EO . cylinder A X is to the cylinder ES as ( V. 7 ) the cylinder E O is to the cylinder E S. But the ...
ES is a cylinder , of which the base is the circle E F G H , and altitude MP . Because the cylinder A X is equal to the cylinder EO . cylinder A X is to the cylinder ES as ( V. 7 ) the cylinder E O is to the cylinder E S. But the ...
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The Elements of Geometry: Or, the First Six Books, with the Eleventh and ... Euclides Keine Leseprobe verfügbar - 2016 |
Häufige Begriffe und Wortgruppen
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 |