The Elements of EuclidA. Foulis, 1838 - 466 páginas |
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Página 328
... straight line C. wherefore the rectangle AH equal to the given fquare upon C , has been applied to the given straight line AB , deficient by the square GK . Which was to be done . 2. To apply a rectangle which fhall be equal to a given ...
... straight line C. wherefore the rectangle AH equal to the given fquare upon C , has been applied to the given straight line AB , deficient by the square GK . Which was to be done . 2. To apply a rectangle which fhall be equal to a given ...
Página 433
Euclid Robert Simson. IF PROP . LXXXIII . t F a parallelogram equal to a given space be applied given straight line , deficient by a parallelogram given in species ; the fides of the defect are given . Let the parallelogram AC equal to a ...
Euclid Robert Simson. IF PROP . LXXXIII . t F a parallelogram equal to a given space be applied given straight line , deficient by a parallelogram given in species ; the fides of the defect are given . Let the parallelogram AC equal to a ...
Página 435
Euclid Robert Simson. one given and exceeding by the parallelogram BC which is equal to the given fpace . I ' PROP . LXXXV . F two straight lines contain a parallelogram given in magnitude , in a given angle ; if the difference of the ...
Euclid Robert Simson. one given and exceeding by the parallelogram BC which is equal to the given fpace . I ' PROP . LXXXV . F two straight lines contain a parallelogram given in magnitude , in a given angle ; if the difference of the ...
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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