The Elements of Euclid |
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Página 68
F a point be taken within a circle , from which there fall more than two equal ftraight lines to the cir- cumference , that point is the center of the circle . Let the point D be taken within the circle ABC , from which to the ...
F a point be taken within a circle , from which there fall more than two equal ftraight lines to the cir- cumference , that point is the center of the circle . Let the point D be taken within the circle ABC , from which to the ...
Página 135
H P M i B N D F CL But let HO , MP be equimultiples of EB , FD ; and because AE is to EB , as CF to FD , and that of AE , CF are taken equimultiples GK , LN ; and of EB , FD , the equimultiples HO , MP ; if GK be greater than HO , LN is ...
H P M i B N D F CL But let HO , MP be equimultiples of EB , FD ; and because AE is to EB , as CF to FD , and that of AE , CF are taken equimultiples GK , LN ; and of EB , FD , the equimultiples HO , MP ; if GK be greater than HO , LN is ...
Página 136
Book V. * Because AB is to CD , as AE to CF ; like- wife , alternately a BA is to AE , as DC to CF. and because if magnitudes taken jointly be pro- b . 17. 5. portionals , they are alfo proportionals when a . 16.
Book V. * Because AB is to CD , as AE to CF ; like- wife , alternately a BA is to AE , as DC to CF. and because if magnitudes taken jointly be pro- b . 17. 5. portionals , they are alfo proportionals when a . 16.
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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 |