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 are Restored. Also the Book of Euclid's Data, in Like Manner CorrE. Wingrove, London, and J. Balfour, Edinburgh, 1793 - 520 sider |
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Side 197
... cone is called a right angled cone ; if it be less 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 EUCLID . 197.
... cone is called a right angled cone ; if it be less 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 EUCLID . 197.
Side 198
... cone is the circle described by that fide contain- ing the right angle , which revolves . XXI . A cylinder is a ... cones and cylinders are those which have their axes and the diameters of their bafes proportionals . XXV . A cube is a ...
... cone is the circle described by that fide contain- ing the right angle , which revolves . XXI . A cylinder is a ... cones and cylinders are those which have their axes and the diameters of their bafes proportionals . XXV . A cube is a ...
Side 269
... cone is the third part of a cylinder which has the same base , and is of an equal altitude with it . Let à cone have the fame base with a cylinder , viz . the cir cle ABCD , and the fame altitude . The cone is the third part of the ...
... cone is the third part of a cylinder which has the same base , and is of an equal altitude with it . Let à cone have the fame base with a cylinder , viz . the cir cle ABCD , and the fame altitude . The cone is the third part of the ...
Side 270
... fegments of the cylinder which together are lefs c than the excess of the cylinder above the triple of the cone . Let them be thofe upon the fegments of the circle AE , EB , BF , FC , H 2 D 12 . FC , CG , GD 270 , THE ELEMENTS.
... fegments of the cylinder which together are lefs c than the excess of the cylinder above the triple of the cone . Let them be thofe upon the fegments of the circle AE , EB , BF , FC , H 2 D 12 . 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 lefs , 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 lefs , if poffible : Therefore ...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Euclid,Robert Simson Uten tilgangsbegrensning - 1781 |
Vanlige uttrykk og setninger
alfo alſo angle ABC angle BAC bafe baſe BC is equal BC is given becauſe the angle becauſe the ratio bifected Book XI cafe centre circle ABCD circumference cone confequently conftruction cylinder defcribed demonftrated diameter drawn EFGH equal angles equiangular equimultiples Euclid excefs faid fame multiple fame ratio fecond fegment fhall fide BC fides fimilar 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 parallelepiped parallelogram perpendicular plane angles PROP propofition proportionals pyramid rectangle contained rectilineal figure right angles ſame ſhall ſphere ſquare THEOR theſe tiple triangle ABC wherefore