The Elements of EuclidA. Foulis, 1838 - 466 páginas |
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Página 272
... cylinder AD into the cylinders AH , GD ; for they are the fame which would be defcribed by the revolution of the parallelograms AK , GF about the ftraight lines EK , KF . and it is to be fhewa that the cylinder AH is to the cylinder HC ...
... cylinder AD into the cylinders AH , GD ; for they are the fame which would be defcribed by the revolution of the parallelograms AK , GF about the ftraight lines EK , KF . and it is to be fhewa that the cylinder AH is to the cylinder HC ...
Página 273
... cylinder BG to the cylinder GD . Wherefore if a cylinder , & c . Q. E. D. CON PROP . XIV . THEOR . ONES and cylinders upon equal bafes are to one another as their altitudes . Let the cylinders EB , FD be upon the equal bafes AB , CD . as ...
... cylinder BG to the cylinder GD . Wherefore if a cylinder , & c . Q. E. D. CON PROP . XIV . THEOR . ONES and cylinders upon equal bafes are to one another as their altitudes . Let the cylinders EB , FD be upon the equal bafes AB , CD . as ...
Página 275
... cylinders AX , EO , be re- ciprocally proportional , viz . the bafe ABCD to the bafe EFGH , as the altitude MN to the altitude KL . the cylinder AX is equal to the cylinder EO . First , let the base ABCD be equal to the bafe EFGH , then ...
... cylinders AX , EO , be re- ciprocally proportional , viz . the bafe ABCD to the bafe EFGH , as the altitude MN to the altitude KL . the cylinder AX is equal to the cylinder EO . First , let the base ABCD be equal to the bafe EFGH , then ...
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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