The Elements of Euclid |
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Página 246
Let ABCD , EFGH be two circles , and BD , FH their diame- ters . as the fquare of BD to the fquare of FH , fo is the circle ABCD to the circle EFGH . For , if it be not fo , the fquare of BD fhall be to the fquare of FH , as the circle ...
Let ABCD , EFGH be two circles , and BD , FH their diame- ters . as the fquare of BD to the fquare of FH , fo is the circle ABCD to the circle EFGH . For , if it be not fo , the fquare of BD fhall be to the fquare of FH , as the circle ...
Página 248
5 . is to the space S. therefore as the circle ABCD is to the space S , fo is the polygon AXBOCPDR to the polygon EKFLGMHN . but the circle ABCD is greater than the polygon contained in it ; where- d . 4. 5. fore the space S is greater ...
5 . is to the space S. therefore as the circle ABCD is to the space S , fo is the polygon AXBOCPDR to the polygon EKFLGMHN . but the circle ABCD is greater than the polygon contained in it ; where- d . 4. 5. fore the space S is greater ...
Página 249
the fquare of BD , fo is the circle EFGH to a space lefs than the Book XII . circle ABCD , which has been demonftrated to be impoffible . there- fore the fquare of BD is not to the fquare of FH , as the circle ABCD is to any space ...
the fquare of BD , fo is the circle EFGH to a space lefs than the Book XII . circle ABCD , which has been demonftrated to be impoffible . there- fore the fquare of BD is not to the fquare of FH , as the circle ABCD is to any space ...
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Términos y frases comunes
added alfo alſo altitude angle ABC angle BAC bafe baſe becauſe bifected Book Book XI circle circle ABCD circumference common cone cylinder defcribed Definition demonftrated diameter divided double draw drawn equal equal angles equiangular equimultiples excefs fame fame multiple fecond fegment fhall fhewn fides fimilar firft firſt folid folid angle fore four fourth fquare fquare of BC ftraight line given angle given ftraight line given in fpecies given in pofition given magnitude given ratio greater Greek half join lefs magnitude manner meet oppofite parallel parallelogram perpendicular plane produced PROP Propofition proportionals pyramid reafon rectangle remaining right angles ſphere taken THEOR theſe third thro triangle ABC wherefore whole
Información bibliográfica
| Título | The Elements of Euclid |
| Autor | Euclid |
| Editor | Robert Simson |
| Editor | A. Foulis, 1838 |
| Procedencia del original | de la Universidad de Virginia |
| Digitalizado | 6 Oct. 2010 |
| Largo | 466 páginas |
| Exportar cita | BiBTeX EndNote RefMan |