The Elements of Euclid |
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Página 112
Book V. See N. than that of the fecond , the multiple of the third is alfo greater than that of the fourth . VI . Magnitudes which have the fame ratio are called proportionals . N. B. When four magnitudes are proportionals , it is ...
Book V. See N. than that of the fecond , the multiple of the third is alfo greater than that of the fourth . VI . Magnitudes which have the fame ratio are called proportionals . N. B. When four magnitudes are proportionals , it is ...
Página 114
Ex aequali , from equality ; this term is ufed fimply by itself , when the first magnitude is to the fecond of the firft rank , as the first to the second of the other rank ; and as the fecond is to the third of the first rank , fo is ...
Ex aequali , from equality ; this term is ufed fimply by itself , when the first magnitude is to the fecond of the firft rank , as the first to the second of the other rank ; and as the fecond is to the third of the first rank , fo is ...
Página 323
to a third . the first parallelogram is to the fecond , as the first Book VI . ftraight line to the third . and the Demonstration would be exactly the fame as we now have it . but the antient Geometers , when they obferved this ...
to a third . the first parallelogram is to the fecond , as the first Book VI . ftraight line to the third . and the Demonstration would be exactly the fame as we now have it . but the antient Geometers , when they obferved this ...
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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 |