The Elements of Euclid |
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Página 120
THEOR . F two magnitudes be equimultiples of two others , and if equimultiples of thefe be taken from the first two , the remainders are either equal to these o- thers , or equimultiples of them . Let the two magnitudes AB , CD be ...
THEOR . F two magnitudes be equimultiples of two others , and if equimultiples of thefe be taken from the first two , the remainders are either equal to these o- thers , or equimultiples of them . Let the two magnitudes AB , CD be ...
Página 136
E. THEOR .. IF four magnitudes be proportionals , they are alfo proportionals by converfion , that is , the firft is to its excefs above the fecond , as the third to its excess above the fourth ...
E. THEOR .. IF four magnitudes be proportionals , they are alfo proportionals by converfion , that is , the firft is to its excefs above the fecond , as the third to its excess above the fourth ...
Página 205
THEOR . a folid angle be contained by three plane angles , See N. any two of them are greater than the third . Let the folid angle at A be contained by the three plane angles BAC , CAD , DAB . any two of them are greater than the third ...
THEOR . a folid angle be contained by three plane angles , See N. any two of them are greater than the third . Let the folid angle at A be contained by the three plane angles BAC , CAD , DAB . any two of them are greater than the third ...
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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 |