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 102
Wherefore , in the given circle , an equilateral and equiangular pentagon has been in . scribed . Which was to be done . Otherwise . a “ Divide the radius of the given circle , so that the rectangle coni tained by the whole and one of ...
Wherefore , in the given circle , an equilateral and equiangular pentagon has been in . scribed . Which was to be done . Otherwise . a “ Divide the radius of the given circle , so that the rectangle coni tained by the whole and one of ...
Página 103
It is also equiangular ; for , since the angle FKC is equal to the angle FLC , and the angle HKL double of the angle FKC and KLM double of FLC , as was before demonstrated the angle HKL is equal to KLM : and in like manner it may be ...
It is also equiangular ; for , since the angle FKC is equal to the angle FLC , and the angle HKL double of the angle FKC and KLM double of FLC , as was before demonstrated the angle HKL is equal to KLM : and in like manner it may be ...
Página 104
Let ABCDE be the given equilateral and equiangular pentagon ; it is required to describe a circle about it . Bisect ( 9. 1. ) the angles BCD , CDE by the straight lines CF , FD , and from the point F , in which they A meet , draw the ...
Let ABCDE be the given equilateral and equiangular pentagon ; it is required to describe a circle about it . Bisect ( 9. 1. ) the angles BCD , CDE by the straight lines CF , FD , and from the point F , in which they A meet , draw the ...
Página 105
To inscribe an equilateral and equiangular hexagon in a given circle . > : : Let ABCDEF be the given circle ; it is required to inscribe ap equilateral and equiangular hexagon in it . Find the centre G of the circle ABCDEF , and draw ...
To inscribe an equilateral and equiangular hexagon in a given circle . > : : Let ABCDEF be the given circle ; it is required to inscribe ap equilateral and equiangular hexagon in it . Find the centre G of the circle ABCDEF , and draw ...
Página 106
AFE is equal to FED : in the same manner it may be demonstrated , that the other angles of the hexagon ABCDEF are each of them equal to the angle AFE or FED ; therefore the hexagon is equiangular ; it is also equilateral , as was shown ...
AFE is equal to FED : in the same manner it may be demonstrated , that the other angles of the hexagon ABCDEF are each of them equal to the angle AFE or FED ; therefore the hexagon is equiangular ; it is also equilateral , as was shown ...
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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 |