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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Side 197
... cone is called a right angled cone ; if it be lefs than the other fide , an obtufe angled , and if greater , an acute angled cone . N 3 . XIX . The Book XI , XIX . The axis of a cone OF EUCLI D. 197.
... cone is called a right angled cone ; if it be lefs than the other fide , an obtufe angled , and if greater , an acute angled cone . N 3 . XIX . The Book XI , XIX . The axis of a cone OF EUCLI D. 197.
Side 198
... cone is the circle defcribed by that fide contain ing the right angle , which revolves . XXI . A cylinder is a folid ... cones and cylinders are those which have their axes and the diameters of their bafes proportionals . XXV . A cube is ...
... cone is the circle defcribed by that fide contain ing the right angle , which revolves . XXI . A cylinder is a folid ... cones and cylinders are those which have their axes and the diameters of their bafes proportionals . XXV . A cube is ...
Side 269
... cone is the third part of a 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 ...
... cone is the third part of a 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 ...
Side 270
... fome fegments of the cylinder which together are lefs than the excefs of the cylinder above the triple of the cone . Let them be those upon the fegments of the circle AE , EB , BF , FC , H D 12 . n FC , CG , GD 270 THE ELEMENTS.
... fome fegments of the cylinder which together are lefs than the excefs of the cylinder above the triple of the cone . Let them be those upon the fegments of the circle AE , EB , BF , FC , H D 12 . n FC , CG , GD 270 THE ELEMENTS.
Side 271
... cone , of which the bafe is the circle ABCD : But it is alfo lefs , for the pyramid is contained within the cone ; which is impoffible . Nor can the cylinder be less than the triple of the cone . Let it be less , if poffible : Therefore ...
... cone , of which the bafe is the circle ABCD : But it is alfo lefs , for the pyramid is contained within the cone ; which is impoffible . Nor can the cylinder be less than the triple of the cone . Let it be less , if poffible : Therefore ...
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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