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 O F Euclid's Data in Like Manner CorrectedF. Wingrave, 1809 - 531 sider |
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Side 189
... cone is called a right angled cone ; if it be less than the other side , an obtuse angled , and if greater , an acute angled cone . BOOK XI . XIX . The axis of a cone THE ELEMENTS OF EUCLID . 189.
... cone is called a right angled cone ; if it be less than the other side , an obtuse angled , and if greater , an acute angled cone . BOOK XI . XIX . The axis of a cone THE ELEMENTS OF EUCLID . 189.
Side 190
... cone is the circle described by that side con- taining the right angle , which revolves . XXI . A cylinder is a ... cones and cylinders are those which have their axes and the diameters of their bases proportionals . XXV espone 3viv A ...
... cone is the circle described by that side con- taining the right angle , which revolves . XXI . A cylinder is a ... cones and cylinders are those which have their axes and the diameters of their bases proportionals . XXV espone 3viv A ...
Side 261
... cone is the third part of a cylinder which has the same base , and is of an equal altitude with it . Let a cone have the same base with a cylinder , viz . the circle ABCD , and the same 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 a cone have the same base with a cylinder , viz . the circle ABCD , and the same altitude . The cone is the third part of the ...
Side 262
... segments of the cylinder which together are less , than the excess of the cylinder above the triple of the cone . Let them be those upon the segments of the circle AE , EB , BF , A J 12 . FC , CG , GD ,. 262 THE ELEMENTS.
... segments of the cylinder which together are less , than the excess of the cylinder above the triple of the cone . Let them be those upon the segments of the circle AE , EB , BF , A J 12 . FC , CG , GD ,. 262 THE ELEMENTS.
Side 263
... cone ; therefore the pyramid upon the base AEBFCGDH , having the same vertex with the cone , is greater than the cone , of which the base is the circle ABCD : But it is also less , for the p pyramid is contained within the cone ; which ...
... cone ; therefore the pyramid upon the base AEBFCGDH , having the same vertex with the cone , is greater than the cone , of which the base is the circle ABCD : But it is also less , for the p pyramid is contained within the cone ; which ...
Andre utgaver - Vis alle
The Elements of Euclid: The Errors, by Which Theon, Or Others, Have Long Ago ... Robert Simson,Robert Euclid Ingen forhåndsvisning tilgjengelig - 2018 |
The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Euclid Ingen forhåndsvisning tilgjengelig - 2016 |
The Elements of Euclid: The Errors, by Which Theon, Or Others, Have Long Ago ... Robert Simson,Robert Euclid Ingen forhåndsvisning tilgjengelig - 2015 |
Vanlige uttrykk og setninger
ABCD altitude angle ABC angle BAC base BC BC is equal BC is given bisected Book XI centre circle ABC circumference common logarithm cone cylinder demonstrated described diameter drawn equal angles equiangular equimultiples Euclid ex æquali excess fore given angle given in magnitude given in position given in species given magnitude given ratio given straight line gnomon greater join less Let ABC logarithm multiple opposite parallel parallelogram perpendicular point F polygon prism proportionals proposition pyramid Q. E. D. PROP radius ratio of AE rectangle CB rectangle contained rectilineal figure remaining angle right angles segment sides BA similar sine solid angle solid parallelopipeds square of AC straight line AB straight line BC tangent THEOR tiple triangle ABC triplicate ratio vertex