The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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Seite 64
Because the points B and D are in the circumference of both circles the straight line B D lies ( III . 2 ) within each of them . ... There- fore one circle EBF cannot touch another A B C , internally , in more points than one .
Because the points B and D are in the circumference of both circles the straight line B D lies ( III . 2 ) within each of them . ... There- fore one circle EBF cannot touch another A B C , internally , in more points than one .
Seite 81
If from any point without a circle , there be drawn two straight lines cutting it , as A B and A C , the rectangles contained by the whole lines and the parts of them without the circle , are equal to one another ; viz . , the rectangle ...
If from any point without a circle , there be drawn two straight lines cutting it , as A B and A C , the rectangles contained by the whole lines and the parts of them without the circle , are equal to one another ; viz . , the rectangle ...
Seite 90
To describe a circle about a given square . Let ABCD be the given square . It is required to describe a circle about it . Join A C and B D , cutting one another in E. With centre E , and distance E A describe the circle A B C D , and it ...
To describe a circle about a given square . Let ABCD be the given square . It is required to describe a circle about it . Join A C and B D , cutting one another in E. With centre E , and distance E A describe the circle A B C D , and it ...
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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 |