The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh and Twelfth. The Errors, by which Theon, Or Others, Have Long Ago Vitiated These Books, are Corrected : and Some of Euclid's Demonstrations Restored : Also the Book of Euclid's Data, in Like Manner CorrectedJ. Nourse, London, 1781 - 520 sider |
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Resultat 1-5 av 14
Side 198
... cylinder is the fixed ftraight line about which the parallelogram revolves . XXIII . The bafes of a cylinder are the circles described by the two re- volving oppofite fides of the parallelogram . XXIV . Similar cones and cylinders are ...
... cylinder is the fixed ftraight line about which the parallelogram revolves . XXIII . The bafes of a cylinder are the circles described by the two re- volving oppofite fides of the parallelogram . XXIV . Similar cones and cylinders are ...
Side 269
... cylinder which has the fame base , and is of an equal altitude with Let a cone have the fame bafe with a cylinder , viz . the circle ABCD , and the fame altitude . The cone is the third part of the cylinder ; that is , the cylinder is ...
... cylinder which has the fame base , and is of an equal altitude with Let a cone have the fame bafe with a cylinder , viz . the circle ABCD , and the fame altitude . The cone is the third part of the cylinder ; that is , the cylinder is ...
Side 270
... cylinder ; this prifm is greater than half of the cylinder ; becaufe if a fquare be defcribed about the circle , and a prifm erected upon the fquare , of the fame altitude with the cylinder , the infcribed fquare is half of that ...
... cylinder ; this prifm is greater than half of the cylinder ; becaufe if a fquare be defcribed about the circle , and a prifm erected upon the fquare , of the fame altitude with the cylinder , the infcribed fquare is half of that ...
Side 271
... cylinder be less than the triple of the cone . Let it be less , if poffible : Therefore , inverfely , the cone is greater than the third part of the cylinder . In the circle ABCD defcribe a square ; this fquare is greater than the half ...
... cylinder be less than the triple of the cone . Let it be less , if poffible : Therefore , inverfely , the cone is greater than the third part of the cylinder . In the circle ABCD defcribe a square ; this fquare is greater than the half ...
Side 272
... cylinder of which the B F bafe is the circle ABCD . But it is alfo lefs , for it is contained within the cylinder ; which is impoffible . Therefore the cy- linder is not less than the triple of the cone . And it has been demonftrated ...
... cylinder of which the B F bafe is the circle ABCD . But it is alfo lefs , for it is contained within the cylinder ; which is impoffible . Therefore the cy- linder is not less than the triple of the cone . And it has been demonftrated ...
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The Elements of Euclid: Viz. The First Six Books, Together with the Eleventh ... Euclid Uten tilgangsbegrensning - 1793 |
Vanlige uttrykk og setninger
alfo alſo angle ABC angle BAC bafe baſe BC is equal BC is given becauſe the angle bifected Book XI cafe centre 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 fides BA fimilar fince firft firſt folid angle fome fore fphere 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 oppofite parallel parallelepipeds parallelogram perpendicular polygon prifm propofition proportionals pyramid Q. E. D. PROP rectangle contained rectilineal figure right angles ſquare thefe THEOR theſe triangle ABC vertex wherefore