The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 172
... pyramid is a solid figure contained by planes that are constituted 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 constituted 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 ...
Page 226
... pyramid having a triangular base , may be divided into two equal and similar pyramids having triangular bases , and which are similar to the whole pyramid ; and into two equal prisms which together are greater than half of the whole pyramid ...
... pyramid having a triangular base , may be divided into two equal and similar pyramids having triangular bases , and which are similar to the whole pyramid ; and into two equal prisms which together are greater than half of the whole pyramid ...
Page 227
... pyramid , the * C. 11 . base of which is the triangle KHL , and vertex the point D. And because HK is parallel to AB ... pyramid of which the base is the triangle ABC , and vertex the point D , is similar ** B. 11. & to the pyramid of ...
... pyramid , the * C. 11 . base of which is the triangle KHL , and vertex the point D. And because HK is parallel to AB ... pyramid of which the base is the triangle ABC , and vertex the point D , is similar ** B. 11. & to the pyramid of ...
Page 228
... pyramid ABCD . And because BF is equal to FC , the parallelogram EBFG is double * of the triangle GFC : but when ... pyramid of which the base is the triangle EBF , and vertex the point K : but this pyramid is equal to the pyramid , the ...
... pyramid ABCD . And because BF is equal to FC , the parallelogram EBFG is double * of the triangle GFC : but when ... pyramid of which the base is the triangle EBF , and vertex the point K : but this pyramid is equal to the pyramid , the ...
Page 229
... pyramids of the same altitude , upon tri- See N. angular 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 ...
... pyramids of the same altitude , upon tri- See N. angular 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 ...
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The Elements Of Euclid: Viz. The First Six Books, Together With The Eleventh ... Robert Simson,Euclid,John Davidson No preview available - 2019 |
Common terms and phrases
ABC is given AC is equal altitude angle ABC angle BAC base BC bisected centre circle ABCD circumference common logarithm cone Constr 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 ratio given straight line gnomon greater join less Let ABC logarithm multiple opposite parallel parallelogram AC perpendicular polygon prism proportionals proposition pyramid Q. E. D. PROP radius ratio of AE rectangle contained rectilineal figure right angles segment shewn sides BA similar sine solid angle solid parallelopipeds square of AC straight line AB straight line BC tangent THEOR third triangle ABC triplicate ratio vertex wherefore