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 94
To inscribe an equilateral and equiangular pentagon in a given circle . Let ABCDE be the given circle , it is required to inscribe an equilateral and equiangular pentagon in the circle ABCDE . Describe ( 10. 4. ) ...
To inscribe an equilateral and equiangular pentagon in a given circle . Let ABCDE be the given circle , it is required to inscribe an equilateral and equiangular pentagon in the circle ABCDE . Describe ( 10. 4. ) ...
Página 95
Let ABCDE be the given circle , it is required to describe an equilateral and equiangular pentagon about the circle ABCDE . Let the angles of a pentagon , inscribed in the circle , by the last proposi- tion , be in the points A ...
Let ABCDE be the given circle , it is required to describe an equilateral and equiangular pentagon about the circle ABCDE . Let the angles of a pentagon , inscribed in the circle , by the last proposi- tion , be in the points A ...
Página 96
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 97
Let ABCDE be the given equilateral and equiangular pentagon ; it is re- quired to describe a circle about it . E F Bisect ( Prob . 4. 1. ) the angles BCD , CDE by the straight lines CF , FD , and from the point F , in which they meet ...
Let ABCDE be the given equilateral and equiangular pentagon ; it is re- quired to describe a circle about it . E F Bisect ( Prob . 4. 1. ) the angles BCD , CDE by the straight lines CF , FD , and from the point F , in which they meet ...
Página 98
It is also equi- angular ; for , since the arc AF is equal to ED , to each of these add the arc ABCD ; therefore the ... hexagon is equiangular ; it is also equilateral , as was shown ; and it is inscribed in the given circle ABCDEF .
It is also equi- angular ; for , since the arc AF is equal to ED , to each of these add the arc ABCD ; therefore the ... hexagon is equiangular ; it is also equilateral , as was shown ; and it is inscribed in the given circle ABCDEF .
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Términos y frases comunes
ABCD altitude angle ABC angle BAC base bisected Book called centre chord circle circumference coincide common consequently construction cosine cylinder definition demonstrated described diameter difference divided double draw drawn equal equal angles equiangular equilateral Euclid exterior angle extremities fall fore four fourth given given straight line greater half Hence inscribed interior join less Let ABC magnitudes manner meet multiple opposite parallel parallelogram pass perpendicular plane polygon prism Prob produced PROP proportional proposition proved radius ratio reason rectangle contained rectilineal figure remaining right angles segment shewn sides similar sine solid spherical square straight line taken tangent THEOR third touch 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 |
| Edición | 6 |
| Editor | W.E. Dean, 1836 |
| Largo | 311 páginas |
| Exportar cita | BiBTeX EndNote RefMan |