The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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Seite 42
If there be two straight lines , one of which is divided into any number of parts ; the rectangle contained by the two straight lines , is equal to the rectangles contained by the undivided line , and the several parts of the divided ...
If there be two straight lines , one of which is divided into any number of parts ; the rectangle contained by the two straight lines , is equal to the rectangles contained by the undivided line , and the several parts of the divided ...
Seite 43
If a straight line be divided into any two parts , the rectangle contained by the whole and one of the parts is equal to the rectangle contained by the two parts , together with the square of the foresaid part .
If a straight line be divided into any two parts , the rectangle contained by the whole and one of the parts is equal to the rectangle contained by the two parts , together with the square of the foresaid part .
Seite 133
To divide a given straight line similarly to a given divided straight line , that is , into parts proportional to the parts of the given divided straight line . Let A B be the given straight line to be divided , and A C the given ...
To divide a given straight line similarly to a given divided straight line , that is , into parts proportional to the parts of the given divided straight line . Let A B be the given straight line to be divided , and A C the given ...
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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 |