The Elements of EuclidJohnson and Warner, 1811 - 518 sider |
Inni boken
Resultat 1-5 av 27
Side 197
... 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 257
... pyramid . Ꭰ 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 pyra mids having triangular bases , and similar to the whole ; and into ...
... pyramid . Ꭰ 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 pyra mids having triangular bases , and similar to the whole ; and into ...
Side 258
... pyramid of which the base is the triangle AEG , and of which the vertex is the point H , is equal 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 of the ...
... pyramid of which the base is the triangle AEG , and of which the vertex is the point H , is equal 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 of the ...
Side 259
... pyramid is equal to the pyramid c C. 14 . 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 haying the parallelogram EBFG for its base , and ...
... pyramid is equal to the pyramid c C. 14 . 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 haying the parallelogram EBFG for its base , and ...
Side 260
... pyramids of the same altitude , up- on 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 pyra- mids be divided in the same manner ...
... pyramids of the same altitude , up- on 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 pyra- mids be divided in the same manner ...
Andre utgaver - Vis alle
The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... Robert Simson Uten tilgangsbegrensning - 1806 |
Vanlige uttrykk og setninger
altitude angle ABC angle BAC base BC BC is equal BC is given bisected Book XI centre circle ABCD circumference cone cylinder demonstrated described diameter draw drawn equal angles equiangular equimultiples Euclid 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 pyramid Q. E. D. PROP radius ratio of AE rectangle CB rectangle contained rectilineal figure remaining angle right angles segment sides BA similar solid angle solid parallelopiped square of AC straight line AB straight line BC tangent THEOR third triangle ABC triplicate ratio vertex wherefore