The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 216
... prism is a solid figure contained by plane figures , of which two that are opposite are equal , similar , and parallel to one another ; and the others parallelograms . XIV . A sphere is a solid figure described by the revo- lution of a ...
... prism is a solid figure contained by plane figures , of which two that are opposite are equal , similar , and parallel to one another ; and the others parallelograms . XIV . A sphere is a solid figure described by the revo- lution of a ...
Page 253
... prism contained by the two triangles CGF DAE , and the three parallelograms , CA , GE , EC , is equal to the prism contained by the two * C . 11 . triangles CBF , DHE , and the three parallelo- grams BE , CH , EC ; because they are ...
... prism contained by the two triangles CGF DAE , and the three parallelograms , CA , GE , EC , is equal to the prism contained by the two * C . 11 . triangles CBF , DHE , and the three parallelo- grams BE , CH , EC ; because they are ...
Page 254
... prism which is con- tained betwixt the triangles ALG , CBH : for the same reason , because the solid AK is cut by the plane LGHB , through the diago- A N nals LG , BH of the opposite planes ALNG , CBKH , the solid AK is double of the ...
... prism which is con- tained betwixt the triangles ALG , CBH : for the same reason , because the solid AK is cut by the plane LGHB , through the diago- A N nals LG , BH of the opposite planes ALNG , CBKH , the solid AK is double of the ...
Page 255
... prism which is contained by the two triangles AFG , CDE , and the three parallelograms AD , DG , GC , is equal to the prism contained by C. 11 . the two triangles LMN , BHK , and the three paralellograms BM , MK , KL . If therefore the ...
... prism which is contained by the two triangles AFG , CDE , and the three parallelograms AD , DG , GC , is equal to the prism contained by C. 11 . the two triangles LMN , BHK , and the three paralellograms BM , MK , KL . If therefore the ...
Page 260
... prisms upon triangular bases , of the same altitude , are to one another as their bases . Let the prisms , the bases of which are the triangles AEM , CFG , and NBO , PDQ the triangles opposite to them , have the same alti- tude they ...
... prisms upon triangular bases , of the same altitude , are to one another as their bases . Let the prisms , the bases of which are the triangles AEM , CFG , and NBO , PDQ the triangles opposite to them , have the same alti- tude they ...
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