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 22
Definition ) to AB ; and because the point B is the centre of the circle ACE , BC is equal to AB : But it has been proved that CA is equal to AB ; therefore - CA , CB are each of them equal to AB ; now things which are equal to the same ...
Definition ) to AB ; and because the point B is the centre of the circle ACE , BC is equal to AB : But it has been proved that CA is equal to AB ; therefore - CA , CB are each of them equal to AB ; now things which are equal to the same ...
Página 52
... the angle DAC is equal ( 8. 1. ) to the angle BAC : But DAC is a right angle ; therefore also BAC is a right angle . Therefore , if the square , & c . Q. E. D. 3 41 OF GEOMETRY . BOOK II . DEFINITIONS . E ( 52 ELEMENTS.
... the angle DAC is equal ( 8. 1. ) to the angle BAC : But DAC is a right angle ; therefore also BAC is a right angle . Therefore , if the square , & c . Q. E. D. 3 41 OF GEOMETRY . BOOK II . DEFINITIONS . E ( 52 ELEMENTS.
Página 53
DEFINITIONS . E ( 1 . VERY right angled parallelogram , or rectangle , is said to be contained by any two of the straight lines which are about one of the right angles “ Thus the right angled parallelogram AC is called the rectangle es ...
DEFINITIONS . E ( 1 . VERY right angled parallelogram , or rectangle , is said to be contained by any two of the straight lines which are about one of the right angles “ Thus the right angled parallelogram AC is called the rectangle es ...
Página 65
Therefore the sum of the squares & c . Q. E. D. . Cor . From this demonstration , it is manifest that the diameters of every parallelogram bisect one another . ) 1 OF GEOMETRY . BOOK III . DEFINITIONS . A. TH I OF GEOMETRY . BOOK II .
Therefore the sum of the squares & c . Q. E. D. . Cor . From this demonstration , it is manifest that the diameters of every parallelogram bisect one another . ) 1 OF GEOMETRY . BOOK III . DEFINITIONS . A. TH I OF GEOMETRY . BOOK II .
Página 66
DEFINITIONS . A. TH HE radius of a circle is the straight line drawn from the centre to the circumference . 1 . A straight line is said to touch a circle , when it meets the circle , and being produced does not cut it . II .
DEFINITIONS . A. TH HE radius of a circle is the straight line drawn from the centre to the circumference . 1 . A straight line is said to touch a circle , when it meets the circle , and being produced does not cut it . II .
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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 |