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 ... the ratio of the first to the third is compounded of two equal ratios - viz . , the ratio of the first to the ...
X. When three magnitudes are continual proportionals , the first is said to have to the third the duplicate ratio of that ... the ratio of the first to the third is compounded of two equal ratios - viz . , the ratio of the first to the ...
Seite 120
Let A be to B , as D is to E ; and B to C , as E is to F. The ratio compounded of the ratios of A to B , and of B to C ... A , B , and C , and other three D , E , and F , which , taken two and two , in order , have the same ratio .
Let A be to B , as D is to E ; and B to C , as E is to F. The ratio compounded of the ratios of A to B , and of B to C ... A , B , and C , and other three D , E , and F , which , taken two and two , in order , have the same ratio .
Seite 143
Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides . Let AC and CF be equiangular parallelograms , having the angle BCD equal to the angle E C G. The ratio of the parallelogram A C ...
Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides . Let AC and CF be equiangular parallelograms , having the angle BCD equal to the angle E C G. The ratio of the parallelogram A C ...
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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 |