A method of proving the three leading properties of the ellipse and the hyperbola from a well-known property of the circle. By Sir Frederick Pollock, Knt., F. R. S., Her Majesty's Attorney General. Communicated in a letter to P. M. Roget, M. D., Secretary to the Royal Society | Zendy

Frederick Pollock | Zendy

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A method of proving the three leading properties of the ellipse and the hyperbola from a well-known property of the circle. By Sir Frederick Pollock, Knt., F. R. S., Her Majesty's Attorney General. Communicated in a letter to P. M. Roget, M. D., Secretary to the Royal Society

Author(s) -

Frederick Pollock

Publication year - 1843

Publication title -

abstracts of the papers printed in the philosophical transactions of the royal society of london

Language(s) - English

Resource type - Journals

eISSN - 2053-9142

pISSN - 0365-5695

DOI - 10.1098/rspl.1837.0220

Subject(s) - hyperbola , tangent , ellipse , perpendicular , majesty , circumference , line (geometry) , geometry , point (geometry) , radius , mathematics , incircle and excircles of a triangle , mathematical analysis , law , computer science , political science , computer security

In this communication, the author first demonstrates the well-known property of the circle, that if from a point in the diameter produced there be drawn a tangent to the circle, and from the point of contact there be drawn a line perpendicular to the diameter; and if from any point in the circumference there be drawn two lines, one to the point without the circle, and another to the foot of this perpendicular, the former of these lines will be to the latter, as the distance of the point without the circle from the centre, is to the radius of the circle.

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