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 O F Euclid's Data in Like Manner CorrectedF. Wingrave, 1809 - 531 sider |
Inni boken
Resultat 1-5 av 19
Side 189
... 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 ...
... 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 ...
Side 221
... prism contained by the two triangles G D 1 16. n . B F < 34 . H E · 24. 11 . CGF , DAE , and the three parallelograms CA , GE , EC , is equal to the prism contained by the two triangles CBF , DÍE , C. 1L , and the three parallelograms ...
... prism contained by the two triangles G D 1 16. n . B F < 34 . H E · 24. 11 . CGF , DAE , and the three parallelograms CA , GE , EC , is equal to the prism contained by the two triangles CBF , DÍE , C. 1L , and the three parallelograms ...
Side 222
... prism which is contained betwixt the triangles ALG , CBH : For the same reason , because the solid AK is cut by the plane LGHB , through the diagonals LG , BH of the opposite planes ALNG , CBKH , the solid AK F N B A is double of the ...
... prism which is contained betwixt the triangles ALG , CBH : For the same reason , because the solid AK is cut by the plane LGHB , through the diagonals LG , BH of the opposite planes ALNG , CBKH , the solid AK F N B A is double of the ...
Side 223
... prism AFGCDE , the remaining solid , viz . the parallelopiped AH , is equal to the remaining parallelopiped AK . Therefore solid parallelo- pipeds , & 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 parallelopiped AK . Therefore solid parallelo- pipeds , & c . Q. E. D. PROP . XXX . THEOR . SOLID parallelopipeds upon the same base , and of ...
Side 227
... 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 altitude ; and ...
... 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 altitude ; and ...
Andre utgaver - Vis alle
The Elements of Euclid: The Errors, by Which Theon, Or Others, Have Long Ago ... Robert Simson,Robert Euclid Ingen forhåndsvisning tilgjengelig - 2018 |
The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Euclid Ingen forhåndsvisning tilgjengelig - 2016 |
The Elements of Euclid: The Errors, by Which Theon, Or Others, Have Long Ago ... Robert Simson,Robert Euclid Ingen forhåndsvisning tilgjengelig - 2015 |
Vanlige uttrykk og setninger
ABCD altitude angle ABC angle BAC base BC BC is equal BC is given bisected Book XI centre circle ABC circumference common logarithm cone cylinder demonstrated described diameter 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 logarithm multiple opposite parallel parallelogram 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 sine solid angle solid parallelopipeds square of AC straight line AB straight line BC tangent THEOR tiple triangle ABC triplicate ratio vertex