The Elements of Euclid |
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Página 284
For if it has not , the fphere ABC fhall have to a sphere either lefs or greater than DEF , the triplicate ratio of that which BC has to LF . First , let it have that ratio to a less , viz . to the sphere GHK ; and let the sphere DEF ...
For if it has not , the fphere ABC fhall have to a sphere either lefs or greater than DEF , the triplicate ratio of that which BC has to LF . First , let it have that ratio to a less , viz . to the sphere GHK ; and let the sphere DEF ...
Página 285
therefore alfo the fphere GHK is greater than the folid polyhe - Book XII . dron in the sphere DEF . but it is also lefs , because it is contained within it , which is impoffible . therefore the fphere ABC has not to c . 14.
therefore alfo the fphere GHK is greater than the folid polyhe - Book XII . dron in the sphere DEF . but it is also lefs , because it is contained within it , which is impoffible . therefore the fphere ABC has not to c . 14.
Página 9
TH DEFINITION S. I. HE pole of a circle of the sphere is a point in the super- ficies of the sphere , from which all straight lines drawn to the circumference of the circle are equal . II . A great circle of the fphere is any whofe ...
TH DEFINITION S. I. HE pole of a circle of the sphere is a point in the super- ficies of the sphere , from which all straight lines drawn to the circumference of the circle are equal . II . A great circle of the fphere is any whofe ...
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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 |