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
... pyramid is a solid 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 opposite are equal ...
... pyramid is a solid 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 opposite are equal ...
Side 249
... pyramid . 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 equal and similar pyra- mids having triangular bases , and simi- lar to the whole ; and into ...
... pyramid . 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 equal and similar pyra- mids having triangular bases , and simi- lar to the whole ; and into ...
Side 250
... pyramid of K D H L EL G which the base is the triangle ABC , and vertex the point D 1 B. 11. & is therefore similar to the pyramid of which the base is the tri- 11. def . 11. angle HKL , and vertex the same point D : But the pyramid of ...
... pyramid of K D H L EL G which the base is the triangle ABC , and vertex the point D 1 B. 11. & is therefore similar to the pyramid of which the base is the tri- 11. def . 11. angle HKL , and vertex the same point D : But the pyramid of ...
Side 251
... pyramid is equal to the pyramid the base of which is the triangle AEG , C. 11 . and vertex the point H ; because they are contained by equal and similar planes : Wherefore the prism having the paral- lelogram EBFG for its base , and ...
... pyramid is equal to the pyramid the base of which is the triangle AEG , C. 11 . and vertex the point H ; because they are contained by equal and similar planes : Wherefore the prism having the paral- lelogram EBFG for its base , and ...
Side 252
... pyramids of the same altitude , upon triangular bases , and each of them be divided into two equal pyramids similar to the whole pyramid , and also into two equal prisms ; and if each of these pyramids be divided in the same manner as ...
... pyramids of the same altitude , upon triangular bases , and each of them be divided into two equal pyramids similar to the whole pyramid , and also into two equal prisms ; and if each of these pyramids be divided in the same manner as ...
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