The Elements of Euclid |
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Página 14
Because AC is equal to CB , and CD common to the two triangles ACD , BCD ; the two fides AC , CD are equal to BC , CD , each to each ; and the angle ACD is equal to the angle BCD ; there- fore the base AD is equal to the base c DB ...
Because AC is equal to CB , and CD common to the two triangles ACD , BCD ; the two fides AC , CD are equal to BC , CD , each to each ; and the angle ACD is equal to the angle BCD ; there- fore the base AD is equal to the base c DB ...
Página 204
Book XI . to their common fection , are also at right angles to the other plane ; and any ftraight line FG in the plane DE , which is at 4.4.Def.11 . right angles to CE the common fection of the planes , has been proved to be ...
Book XI . to their common fection , are also at right angles to the other plane ; and any ftraight line FG in the plane DE , which is at 4.4.Def.11 . right angles to CE the common fection of the planes , has been proved to be ...
Página 11
in the fame manner the plane FHG is perpendicular to the plane ADB ; and therefore GF the common fection of the planes FEG , FHG is perpendicular to the plane ADB ; ( 19. 11. ) and because the angle FHG is the inclination of the planes ...
in the fame manner the plane FHG is perpendicular to the plane ADB ; and therefore GF the common fection of the planes FEG , FHG is perpendicular to the plane ADB ; ( 19. 11. ) and because the angle FHG is the inclination of the planes ...
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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 |