The Elements of Euclid |
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Página 121
... of four magnitudes has to the fecond , the see N. fame ratio which the third has to the fourth ; then if the firft be greater than the second , the third is alfo great- er than the fourth ; and if equal , equal ; if lefs , lefs .
... of four magnitudes has to the fecond , the see N. fame ratio which the third has to the fourth ; then if the firft be greater than the second , the third is alfo great- er than the fourth ; and if equal , equal ; if lefs , lefs .
Página 128
Book V. H ; and L , M of B , D ; if G be greater than L , H is greater than M ; and if equal , equal ; and if lefs , lefs . Again , because C is to a . 5. Def . 5. D , as E is to F , and H , K are taken equimultiples of C , E ; and M ...
Book V. H ; and L , M of B , D ; if G be greater than L , H is greater than M ; and if equal , equal ; and if lefs , lefs . Again , because C is to a . 5. Def . 5. D , as E is to F , and H , K are taken equimultiples of C , E ; and M ...
Página 130
Book V. B and D , N and K are equimultiples ; if M be greater than N , G is greater than K ; and if equal , equal ; and if lefs , lefs ; but b . 5. Def . 5. G is greater than K , therefore M is greater than N. but H is not greater than ...
Book V. B and D , N and K are equimultiples ; if M be greater than N , G is greater than K ; and if equal , equal ; and if lefs , lefs ; but b . 5. Def . 5. G is greater than K , therefore M is greater than N. but H is not greater than ...
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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 |