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
... pyramid is a folid figure contained by planes that are con- stituted betwixt one plane and one point above it in which they meet . XIII . A prism is a solid figure contained by plane figures of which two that are oppofite are equal ...
... pyramid is a folid figure contained by planes that are con- stituted betwixt one plane and one point above it in which they meet . XIII . A prism is a solid figure contained by plane figures of which two that are oppofite are equal ...
Side 257
... pyramid ; and into two equal prisms which to- gether are greater than half of the whole pyramid . D Let there be a pyramid of which the base is the triangle ABC and its vertex the point D : The pyramid ABCD may be di- vided into two ...
... pyramid ; and into two equal prisms which to- gether are greater than half of the whole pyramid . D Let there be a pyramid of which the base is the triangle ABC and its vertex the point D : The pyramid ABCD may be di- vided into two ...
Side 258
... pyramid of which the base is the triangle ABC , and vertex the point D , is therefore fimilar i to the pyramid of which the base is the tri- angle HKL , and vertex the fame point D : But the pyramid of Def . II . which the base is the ...
... pyramid of which the base is the triangle ABC , and vertex the point D , is therefore fimilar i to the pyramid of which the base is the tri- angle HKL , and vertex the fame point D : But the pyramid of Def . II . which the base is the ...
Side 259
... pyramid of which the bafe is the triangle AEG , and vertex H , is equal to the pyramid of which the base is the triangle HKL , and vertex D : Therefore the two prifms before mentioned are greater than the two pyramids of which the bases ...
... pyramid of which the bafe is the triangle AEG , and vertex H , is equal to the pyramid of which the base is the triangle HKL , and vertex D : Therefore the two prifms before mentioned are greater than the two pyramids of which the bases ...
Side 260
... pyramids of the fame altitude , upon triangular bafes , and each of them be divided in- to two equal pyramids fimilar to the whole pyramid , and alfo into two equal prifms ; and if each of these pyramids be divided in the fame manner as ...
... pyramids of the fame altitude , upon triangular bafes , and each of them be divided in- to two equal pyramids fimilar to the whole pyramid , and alfo into two equal prifms ; and if each of these pyramids be divided in the fame manner as ...
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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