The Elements of Euclid |
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Página 368
tude CD ; CD together with a given magnitude has a given ratio to AB . Because the ratio of AE to CD is given , as AE to CD , so make BE to FD ; therefore the ratio of BE to A FD is given , and BE is given , wherefore a . 2. Dat .
tude CD ; CD together with a given magnitude has a given ratio to AB . Because the ratio of AE to CD is given , as AE to CD , so make BE to FD ; therefore the ratio of BE to A FD is given , and BE is given , wherefore a . 2. Dat .
Página 370
Let AD be the given magnitude ; and becaufe DB , the excess of AB above AD , has a given ratio to BC ; the ratio of DC to DB is a . 7. Dat . given a . make the ratio of AD to DE the fame with this ratio ; therefore the ratio of AD to DE ...
Let AD be the given magnitude ; and becaufe DB , the excess of AB above AD , has a given ratio to BC ; the ratio of DC to DB is a . 7. Dat . given a . make the ratio of AD to DE the fame with this ratio ; therefore the ratio of AD to DE ...
Página 377
Let AB , CD , EF be three magnitudes , and let GD the excess of one of them CD above the given magnitude CG have a given ratio to AB ; and alfo let KD the excefs of the fame CD above the given magnitude CK have a given ratio to EF ...
Let AB , CD , EF be three magnitudes , and let GD the excess of one of them CD above the given magnitude CG have a given ratio to AB ; and alfo let KD the excefs of the fame CD above the given magnitude CK have a given ratio to EF ...
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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 |