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 CorrectedT. Desilver and R. Desilver, 1825 - 516 sider |
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Side 195
... 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 255
... pyramid having a triangular base , may be di- vided into two equal and similar pyramids having triangu- lar bases , and which are similar to the whole pyramid ; and into two equal prisms which together are greater than half of the whole ...
... pyramid having a triangular base , may be di- vided into two equal and similar pyramids having triangu- lar bases , and which are similar to the whole pyramid ; and into two equal prisms which together are greater than half of the whole ...
Side 256
... pyramid of which the base is the triangle AEG , and of which the vertex is the point H , is equal ( C. 11. ) and similar to the pyramid the base of which is the triangle KHL , and vertex the point D : and because HK is parallel to AB a ...
... pyramid of which the base is the triangle AEG , and of which the vertex is the point H , is equal ( C. 11. ) and similar to the pyramid the base of which is the triangle KHL , and vertex the point D : and because HK is parallel to AB a ...
Side 257
... pyramid is equal ( C. 11. ) to the pyramid the base of which is the triangle AEG , and vertex the point H ; because they are contained by equal and similar planes : wherefore the prism having the parallelogram EBFG for its base , and ...
... pyramid is equal ( C. 11. ) to the pyramid the base of which is the triangle AEG , and vertex the point H ; because they are contained by equal and similar planes : wherefore the prism having the parallelogram EBFG for its base , and ...
Side 258
... 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 in- to two equal prisms ; and if each of these pyramids be di- vided in the same manner ...
... 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 in- to two equal prisms ; and if each of these pyramids be di- vided in the same manner ...
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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 ratio given straight line gnomon greater join less Let ABC meet multiple parallel parallelogram parallelogram AC perpendicular point F polygon prism proportionals proposition 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 third triangle ABC triplicate ratio vertex wherefore