The Elements of Euclid |
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Página 135
F a whole magnitude be to a whole , as a magni- See N tude taken from the firft is to a magnitude taken from the other ; the remainder fhall be to the remain- der as the whole to the whole . Let the whole AB be to the whole CD , as AE a ...
F a whole magnitude be to a whole , as a magni- See N tude taken from the firft is to a magnitude taken from the other ; the remainder fhall be to the remain- der as the whole to the whole . Let the whole AB be to the whole CD , as AE a ...
Página 136
Wherefore if the whole , & c . Q. E. D. A C F B D COR . If the whole be to the whole , as a magnitude taken from the firft is to a magnitude taken from the other ; the remainder likewife is to the remainder , as the magnitude taken from ...
Wherefore if the whole , & c . Q. E. D. A C F B D COR . If the whole be to the whole , as a magnitude taken from the firft is to a magnitude taken from the other ; the remainder likewife is to the remainder , as the magnitude taken from ...
Página 177
Let AF be any parallelogram applied to AK any other part of AB than the half , fo as to be deficient from the parallelogram upon the whole line AB by the parallelogram KH fimilar and fimilarly fituated to CE ; AD is greater than AF .
Let AF be any parallelogram applied to AK any other part of AB than the half , fo as to be deficient from the parallelogram upon the whole line AB by the parallelogram KH fimilar and fimilarly fituated to CE ; AD is greater than AF .
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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 |