The Elements of Euclid |
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Página 118
... then any equimultiples whatever of the firft and third fhall have the fame ratio to any equimultiples of the ... viz . the equimultiple of the first shall ' have the fame ratio to that of the fecond , which the equimultiple of the ...
... then any equimultiples whatever of the firft and third fhall have the fame ratio to any equimultiples of the ... viz . the equimultiple of the first shall ' have the fame ratio to that of the fecond , which the equimultiple of the ...
Página 129
of A , C , E , and L , M , N equimultiples of B , D , F ; if G be greater Book V. than L , H is greater than M ... H , K together are any equi multiples of A , and A , C , E together , because if there be any number of magnitudes ...
of A , C , E , and L , M , N equimultiples of B , D , F ; if G be greater Book V. than L , H is greater than M ... H , K together are any equi multiples of A , and A , C , E together , because if there be any number of magnitudes ...
Página 133
And because AB is to BE , as CD is to DF , and that of AB and CD , GK K and LN are equimultiples , and of EB and FD , HX and MP are equimultiples ; if GK be greater than HX , then LN is greater than MP ; and if equal , equal ; and if ...
And because AB is to BE , as CD is to DF , and that of AB and CD , GK K and LN are equimultiples , and of EB and FD , HX and MP are equimultiples ; if GK be greater than HX , then LN is greater than MP ; and if equal , equal ; and if ...
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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 |