The Elements of EuclidA. Foulis, 1838 - 466 páginas |
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Página 171
... similar rec- tilineal figures fimilarly defcribed upon them fhall alfo be proportionals . and if the similar rectilineal figures fimilarly described upon four ftraight lines be propor- tionals , those straight lines fhall be ...
... similar rec- tilineal figures fimilarly defcribed upon them fhall alfo be proportionals . and if the similar rectilineal figures fimilarly described upon four ftraight lines be propor- tionals , those straight lines fhall be ...
Página 220
... similar f to the folid CD . wherefore from a given straight line AB a folid parallelepiped AL has been described similar , and fimilarly fituated to the given one CD . Which was to be done . d . 24. 11 . e . B. II . IF PROP . XXVIII ...
... similar f to the folid CD . wherefore from a given straight line AB a folid parallelepiped AL has been described similar , and fimilarly fituated to the given one CD . Which was to be done . d . 24. 11 . e . B. II . IF PROP . XXVIII ...
Página 269
... similar planes . but fimilar pyramids which have triangular bafes have to one another the triplicate & ratio of that g . 8. 12 . which their homologous fides have ; therefore the pyramid AKQL has to the pyramid EMSN the triplicate ratio ...
... similar planes . but fimilar pyramids which have triangular bafes have to one another the triplicate & ratio of that g . 8. 12 . which their homologous fides have ; therefore the pyramid AKQL has to the pyramid EMSN the triplicate ratio ...
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Términos y frases comunes
AC is equal alfo alſo angle ABC angle BAC bafe baſe BC is given becauſe the angle bifected Book XI cafe circle ABCD circumference cone confequently conftruction cylinder defcribed demonftrated diameter drawn equal angles equiangular equimultiples Euclid excefs faid fame manner fame multiple fame ratio fame reafon fecond fegment fhall fhewn fide BC fides fimilar fince firft firſt folid angle fome fore fquare of AC ftraight line AB given angle given ftraight line given in fpecies given in magnitude given in pofition given magnitude given ratio gnomon greater join lefs leſs likewife line BC muſt oppofite parallel parallelepipeds parallelogram perpendicular prifms Propofition proportionals pyramid rectangle contained rectilineal figure right angles ſhall ſphere ſquare thefe THEOR theſe thro tiple triangle ABC wherefore