The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 215
... Similar solid figures are such as have all their solid angles equal , each to each , and are con- tained by the same number of similar planes . } XII . A pyramid is a solid figure contained BOOK XI . - DEFINITIONS . 215.
... Similar solid figures are such as have all their solid angles equal , each to each , and are con- tained by the same number of similar planes . } XII . A pyramid is a solid figure contained BOOK XI . - DEFINITIONS . 215.
Page 216
... 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 286
... pyramid having a triangular base , may be divided into two equal and similar pyramids having triangular buses , 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 buses , and which are similar to the whole pyramid ; and into_two_equal prisms which together are greater than half of the whole pyramid ...
Page 287
... pyramid , the base of which is the triangle KHL , and vertex the point D. And because HK is parallel to AB , a side ... pyramid of which the base is the triangle ABC , and vertex the point D , is similar * to the pyramid of which the * B ...
... pyramid , the base of which is the triangle KHL , and vertex the point D. And because HK is parallel to AB , a side ... pyramid of which the base is the triangle ABC , and vertex the point D , is similar * to the pyramid of which the * B ...
Page 288
... pyramid is * C . 11. equal 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 * C . 11. equal 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 ...
Other editions - View all
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... Euclid No preview available - 2015 |
The Elements of Euclid: Viz. the First Six Books, Together With the Eleventh ... Euclid No preview available - 2023 |
Common terms and phrases
AB is equal altitude angle ABC angle ACB angle BAC angle EDF base BC base DEF BC is equal bisected centre circle ABCD circle EFGH circumference cone Const cylinder described diameter draw equal angles equal to AC equiangular equilateral equimultiples exterior angle fore given rectilineal given straight line gnomon inscribed join less Let ABC multiple parallel parallelogram perpendicular point F polygon prism PROB pyramid ABCG pyramid DEFH Q. E. D. PROP rectangle contained rectilineal figure remaining angle right angles segment solid angle solid CD solid parallelopiped sphere square of AC straight line AB straight line AC THEOR three plane angles tiple touches the circle triangle ABC triangle DEF triplicate ratio wherefore whole