The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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Seite 73
Where- fore , in equal circles , & c . Q. E. D. Corollary . - Equal angles either at the centre or the circumference of the same circle , stand upon equal arcs . Exercise . -Parallel chords in a circle intercept ( take between them ) ...
Where- fore , in equal circles , & c . Q. E. D. Corollary . - Equal angles either at the centre or the circumference of the same circle , stand upon equal arcs . Exercise . -Parallel chords in a circle intercept ( take between them ) ...
Seite 116
There- fore D has to E a greater ratio than C has to B ( V. 13 ) . Because B is to C , as E to F ( Hyp . ) . Therefore , by inversion , C is to B , as F is to E ( V. B ) . But D was shown to have to E a greater ratio than C has to B.
There- fore D has to E a greater ratio than C has to B ( V. 13 ) . Because B is to C , as E to F ( Hyp . ) . Therefore , by inversion , C is to B , as F is to E ( V. B ) . But D was shown to have to E a greater ratio than C has to B.
Seite 202
There- fore the remainder of the cone , viz . , the pyramid upon the polygon EOFPGRHS is greater than K B E H H 国 the solid X. In the circle ABCD inscribe the polygon ATBY CV DQ similar to the polygon EOFPGRHS , and upon it erect a ...
There- fore the remainder of the cone , viz . , the pyramid upon the polygon EOFPGRHS is greater than K B E H H 国 the solid X. In the circle ABCD inscribe the polygon ATBY CV DQ similar to the polygon EOFPGRHS , and upon it erect a ...
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The Elements of Geometry: Or, the First Six Books, with the Eleventh and ... Euclides Keine Leseprobe verfügbar - 2016 |
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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 |