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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Página vi
... or departing in any thing from the rigour of geometrical demonstration . By this means , the steps of the reasoning which were before far separated , are brought near to one another , and the force of the whole is so clearly ...
... or departing in any thing from the rigour of geometrical demonstration . By this means , the steps of the reasoning which were before far separated , are brought near to one another , and the force of the whole is so clearly ...
Página x
... to the accuracy of demonstration , Euclrd has thought it proper , as much as possible , to observe . i The rule referred to , is one which influences the arrangement of his propositions through the whole of the Elements , viz .
... to the accuracy of demonstration , Euclrd has thought it proper , as much as possible , to observe . i The rule referred to , is one which influences the arrangement of his propositions through the whole of the Elements , viz .
Página 21
Things which are halves of the same thing , are equal to one another . VIII . Magnitudes which coincide with one another , that is , which exactly fill the same space , are equal to one another . IX . The whole is greater than its part ...
Things which are halves of the same thing , are equal to one another . VIII . Magnitudes which coincide with one another , that is , which exactly fill the same space , are equal to one another . IX . The whole is greater than its part ...
Página 24
Therefore also the whole triangle ABC shall coincide with the whole triangle DEF , so that the spaces which they contain or their areas are equal : and the remaining angles of the one shall coincide with the remaining angles of the ...
Therefore also the whole triangle ABC shall coincide with the whole triangle DEF , so that the spaces which they contain or their areas are equal : and the remaining angles of the one shall coincide with the remaining angles of the ...
Página 25
Now , since it has been demonstrated , that the whole angle ABG is equal to the whole ACF , and the part CBG , to the part BCF the remaining angle ABC is therefore equal to the remaining angle ACB , which are the angles at the base of ...
Now , since it has been demonstrated , that the whole angle ABG is equal to the whole ACF , and the part CBG , to the part BCF the remaining angle ABC is therefore equal to the remaining angle ACB , which are the angles at the base of ...
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Términos y frases comunes
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
Información bibliográfica
| Título | 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 |
| Autor | John Playfair |
| Editor | E. Duyckinck, and George Long, 1824 |
| Procedencia del original | Universidad de Indiana |
| Digitalizado | 15 Ene. 2009 |
| Largo | 333 páginas |
| Exportar cita | BiBTeX EndNote RefMan |