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 58
... and terminated both ways by the circumference of the circle , is a diameter , and the middle point of that diameter is therefore the centre of the circle . PROP . IV . THEOR . If in a circle two straight lines cut one another ...
... and terminated both ways by the circumference of the circle , is a diameter , and the middle point of that diameter is therefore the centre of the circle . PROP . IV . THEOR . If in a circle two straight lines cut one another ...
Página 59
If any point be taken in the diameter of a circle which is not the centre , of all the straight lines which can be drawn from it to the circumference , the great- est is that in which the centre is , and the other part of that diameter ...
If any point be taken in the diameter of a circle which is not the centre , of all the straight lines which can be drawn from it to the circumference , the great- est is that in which the centre is , and the other part of that diameter ...
Página 60
K H Also there can be drawn only two equal straight lines from the point F to the circumference , one upon each side of the shortest line FD : at the point F in the straight line EF , make ( Prob . 9. 1. ) ...
K H Also there can be drawn only two equal straight lines from the point F to the circumference , one upon each side of the shortest line FD : at the point F in the straight line EF , make ( Prob . 9. 1. ) ...
Página 61
Also there can be drawn only two equal straight lines from the point D to the circumference , one upon each side of the least : at the point M , in the straight line MD , make the angle DMB equal to the angle DMK , and join DB ...
Also there can be drawn only two equal straight lines from the point D to the circumference , one upon each side of the least : at the point M , in the straight line MD , make the angle DMB equal to the angle DMK , and join DB ...
Página 62
For similar reasons FB , FC , are equal ; hence the points A , B , C , are all equally distant from the point F , and con- sequently lie in the circumference of the circle , whose centre is F , and radius FA .
For similar reasons FB , FC , are equal ; hence the points A , B , C , are all equally distant from the point F , and con- sequently lie in the circumference of the circle , whose centre is F , and radius FA .
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Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Vista de fragmentos - 1836 |
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 |
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