## An Introduction to the Ancient and Modern Geometry of Conics: Being a Geometrical Treatise on the Conic Sections with a Collection of Problems and Historical Notes and Prolegomena |

### Contents

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### Other editions - View all

An Introduction to the Ancient and Modern Geometry of Conics: Being a ... Charles Taylor No preview available - 2017 |

### Common terms and phrases

ABCD abscissa asymptotes auxiliary circle axes CA˛ CB˛ central conic centre Chasles chord of contact circumscribed cone confocal Conic Sections conic touching conjugate axis conjugate diameters conjugate hyperbolas Corollary cross ratio curvature deduce Desargues determine diagonals drawn eccentricity Edition ellipse envelope equal angles equilateral hyperbola extremities Fcap fixed point fixed straight line focal chord focal distances focal perpendicular foci four points geometry given point harmonically homographic inscribed intercept intersection involution latus rectum lemma line at infinity line joining locus mean proportional meet the curve meet the directrix meet the tangent middle point nine-point circle normal ordinate orthocentre pair parabola parallelogram plane point of concourse points of contact polar pole projection Prop PROPOSITION proved quadrilateral radius reciprocal rectangular hyperbola respect right angles Scholium segments shewn subtends a right supplementary angles tangents theorem triangle vertex vertices

### Popular passages

Page 78 - Every central conic has a second focus and directrix ; and the sum of the focal distances of any point on the curve...

Page 46 - To draw that diameter of a given circle which shall pass at a given distance from a given point. 9. Find the locus of the middle points of any system of parallel chords in a circle.