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
... 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 revolution of a se ...
... 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 revolution of a se ...
Side 227
... prism C F B D H E contained by the two triangles CGF , DAE , and the three paral- lelograms CA , GE , EC , is equal ( C. 11. ) to the prism contained by the two triangles CBF , DHE , and the three parallelograms BE , CH , EC ; because ...
... prism C F B D H E contained by the two triangles CGF , DAE , and the three paral- lelograms CA , GE , EC , is equal ( C. 11. ) to the prism contained by the two triangles CBF , DHE , and the three parallelograms BE , CH , EC ; because ...
Side 228
... prism which is contained betwixt the triangles D H K F G N C Is A L ALG , CBH . Therefore the solid AH is equal to ... prism which is contained by the two triangles AFG , CDE , and the three pa rallelograms AD , DG , GC , is equal ( C ...
... prism which is contained betwixt the triangles D H K F G N C Is A L ALG , CBH . Therefore the solid AH is equal to ... prism which is contained by the two triangles AFG , CDE , and the three pa rallelograms AD , DG , GC , is equal ( C ...
Side 229
... prism AFGCDE , the remaining solid , viz . the parallelopiped AH , is equal to the remaining pa- rallelopiped AK . Therefore , solid parallelopipeds , & c . Q. E. D. PROP . XXX . THEOR . SOLID parallelopipeds upon the same base , and of ...
... prism AFGCDE , the remaining solid , viz . the parallelopiped AH , is equal to the remaining pa- rallelopiped AK . Therefore , solid parallelopipeds , & c . Q. E. D. PROP . XXX . THEOR . SOLID parallelopipeds upon the same base , and of ...
Side 233
... prisms upon triangular ba- ses , 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 altitude ; and ...
... prisms upon triangular ba- ses , 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 altitude ; and ...
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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 |
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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