Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle and the Geometry of Solids ; to which are Added Elements of Plane and Spherical Trigonometry |
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Σελίδα 216
A series of cylinders may be inscribed in the hemisphere ADB , and another described about the cone ECI , so that their ... solid W. Upon the base of the hemisphere let a cylinder be constituted equal to W , and let its altitude be CX .
A series of cylinders may be inscribed in the hemisphere ADB , and another described about the cone ECI , so that their ... solid W. Upon the base of the hemisphere let a cylinder be constituted equal to W , and let its altitude be CX .
Σελίδα 217
generated by the rectangle HB , that is , by a solid less than W , for the cylinder generated by HB is less than . In the same manner , it may be demonstrated , that the sum of the cylinders circumscribing the cone ICE is greater than ...
generated by the rectangle HB , that is , by a solid less than W , for the cylinder generated by HB is less than . In the same manner , it may be demonstrated , that the sum of the cylinders circumscribing the cone ICE is greater than ...
Σελίδα 218
Fq , DN , are together equal to the cylinder described by DB , that is , to the cylinder having the same base and altitude with the hemisphere Q. E. D. PROP . XXI . Every sphere e's two - thirds of the circumscribing cylinder .
Fq , DN , are together equal to the cylinder described by DB , that is , to the cylinder having the same base and altitude with the hemisphere Q. E. D. PROP . XXI . Every sphere e's two - thirds of the circumscribing cylinder .
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Συχνά εμφανιζόμενοι όροι και φράσεις
ABC is equal ABCD altitude angle ABC angle BAC arch base bisected Book called centre circle circle ABC circumference coincide common cylinder definition demonstrated described diameter difference divided double draw drawn equal equal angles equiangular Euclid exterior angle extremity fall fore four fourth given given straight line greater half inscribed interior join less Let ABC magnitudes manner meet multiple opposite parallel parallelogram pass perpendicular plane polygon prism produced PROP proportionals proposition proved radius ratio reason rectangle contained rectilineal figure right angles segment shewn sides similar sine solid square straight line taken tangent THEOR thing third touches triangle ABC wherefore whole
Πληροφορίες βιβλιογραφίας
| Τίτλος | Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle and the Geometry of Solids ; to which are Added Elements of Plane and Spherical Trigonometry |
| Συγγραφέας | John Playfair |
| Εκδότης | E. Duyckinck, and George Long, 1824 |
| Πρωτότυπο από | Πανεπιστήμιο της Ιντιάνα |
| Ψηφιοποιήθηκε στις | 15 Ιαν. 2009 |
| Μέγεθος | 333 σελίδες |
| Εξαγωγή αναφοράς | BiBTeX EndNote RefMan |