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 35
DF equal to A , FG to B , and GH equal to C ; and from the D centre F , at the distance F FD , describe ( 3. Post ) the circle DKL ; and from L the centre G , at the distance GH , describe ( 3 . Post . ) another circle HLK ; A and join ...
DF equal to A , FG to B , and GH equal to C ; and from the D centre F , at the distance F FD , describe ( 3. Post ) the circle DKL ; and from L the centre G , at the distance GH , describe ( 3 . Post . ) another circle HLK ; A and join ...
Página 63
... but if they are not equal , produce one of them , BE to F , and make EF equal to ED , and bisect BF in G : and from the centre G , at the distance GB , or GF , describe the semicircle BHF and produce DE to H , and join GH .
... but if they are not equal , produce one of them , BE to F , and make EF equal to ED , and bisect BF in G : and from the centre G , at the distance GB , or GF , describe the semicircle BHF and produce DE to H , and join GH .
Página 66
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 . Circles are said to touch ...
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 . Circles are said to touch ...
Página 67
The sector of a circle is the figure contained by two straight lines drawn from the centre , and the arch of the circumference between them . 12 IX . Similar segments of a circle , are those in which the an : gles are equal , or which ...
The sector of a circle is the figure contained by two straight lines drawn from the centre , and the arch of the circumference between them . 12 IX . Similar segments of a circle , are those in which the an : gles are equal , or which ...
Página 68
to the less , which is impossible : Therefore G is not the centre of the circle ABC : In the same manner , it can be shown , that no other point but F is the centre : that is , F is the centre of the circle ABC : Which was to be found ...
to the less , which is impossible : Therefore G is not the centre of the circle ABC : In the same manner , it can be shown , that no other point but F is the centre : that is , F is the centre of the circle ABC : Which was to be found ...
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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 |