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 CorrectedDesilver & Thomas, 1834 - 419 sider |
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Side 158
... pyramid is a solid figure contained by planes that are consti- tuted 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 consti- tuted 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 206
... 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 divided into two equal and similar pyramids having triangular bases , and similar to the whole ; and into ...
... 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 divided into two equal and similar pyramids having triangular bases , and similar to the whole ; and into ...
Side 207
... pyramid the base of which is the triangle KHL , and vertex the point D : and because HK is parallel to AB a side of ... pyramid of which the base is the triangle ABC , and vertex the point D , is therefore similar ( B. 11. and 11. def ...
... pyramid the base of which is the triangle KHL , and vertex the point D : and because HK is parallel to AB a side of ... pyramid of which the base is the triangle ABC , and vertex the point D , is therefore similar ( B. 11. and 11. def ...
Side 208
... pyramid of which the base is the triangle ABC , and vertex the point D , is divided into two equal pyramids similar to one another , and to the whole pyramid ; and into two equal prisms ; and the two prisms are together greater than ...
... pyramid of which the base is the triangle ABC , and vertex the point D , is divided into two equal pyramids similar to one another , and to the whole pyramid ; and into two equal prisms ; and the two prisms are together greater than ...
Side 209
... pyramid ABCG to the two prisms in the pyramid DEFH : and likewise if the pyramids now made , for example , the two OMNG , STYH , be divided in the same manner ; as the base OMN is to the base STY , so shall the two prisms in the pyramid ...
... pyramid ABCG to the two prisms in the pyramid DEFH : and likewise if the pyramids now made , for example , the two OMNG , STYH , be divided in the same manner ; as the base OMN is to the base STY , so shall the two prisms in the pyramid ...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Robert Simson,Euclid Euclid Ingen forhåndsvisning tilgjengelig - 2018 |
Vanlige uttrykk og setninger
altitude angle ABC angle BAC base BC BC is equal BC is given bisected centre circle ABCD circumference cone cylinder demonstrated described diameter draw drawn equal angles equiangular equimultiples Euclid ex æquali excess fore given angle given in magnitude given in position given in species given magnitude given point given ratio given straight line gnomon greater join less Let ABC multiple opposite parallel parallelogram parallelogram AC perpendicular point F polygon prism proportionals proposition pyramid Q. E. D. PROP radius ratio of AE rectangle CB rectangle contained rectilineal figure right angles segment sides BA similar sine solid angle solid parallelopipeds square of AC straight line AB straight line BC tangent THEOR third tiple triangle ABC triplicate ratio vertex wherefore