The Elements of EuclidA. Foulis, 1838 - 466 páginas |
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Página 173
... parallelogram DG , and , taking any straight line K , make b as BC to CG , fo K to L ; a . 14. 1 . and as DC to CE ... parallelogram AC to the parallelogram CH4 ; but as BC to CG , fo is K to L ; therefore K is to L , as the ...
... parallelogram DG , and , taking any straight line K , make b as BC to CG , fo K to L ; a . 14. 1 . and as DC to CE ... parallelogram AC to the parallelogram CH4 ; but as BC to CG , fo is K to L ; therefore K is to L , as the ...
Página 178
... parallelogram similar to a given parallelogram . but the given rectilineal figure to which the parallelogram to be applied is to be equal , muft not be greater than the parallelogram applied to half of the given line hav- ing its defect ...
... parallelogram similar to a given parallelogram . but the given rectilineal figure to which the parallelogram to be applied is to be equal , muft not be greater than the parallelogram applied to half of the given line hav- ing its defect ...
Página 434
... parallelogram given in fpecies be applied to a given ftraight line , exceeding by a parallelogram equal to a given space ; the fides of the parallelogram are given . a Let the parallelogram ADCE given in fpecies be applied to the given ...
... parallelogram given in fpecies be applied to a given ftraight line , exceeding by a parallelogram equal to a given space ; the fides of the parallelogram are given . a Let the parallelogram ADCE given in fpecies be applied to the given ...
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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