## 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 ProlegomenaDeighton, Bell and Company, 1881 - 384 páginas |

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### Otras ediciones - Ver todas

An Introduction to the Ancient and Modern Geometry of Conics: Being a ... Charles Taylor Sin vista previa disponible - 2017 |

### Términos y frases comunes

ABCD asymptotes axes axis base becomes bisects called central centre chord circle circumscribed common cone conic conjugate conjugate diameters constant construction contained conversely Corollary corresponding curvature curve deduce Desargues described determine diagonals diameter direction directrix distances divided double draw drawn ellipse envelope equal equilateral evident extremities figure fixed point focal chord foci focus follows four points geometry given point harmonically Hence hyperbola infinity inscribed intercept intersection involution joining latter length locus mean meet method normal opposite ordinate origin pair parabola parallel passes perpendicular plane points of contact polar pole position projection Prop proportional PROPOSITION proved quadrilateral radius ratio reciprocal rectum regarded relation respect right angles segments shew shewn sides square straight line subtends taken tangents theorem third touch transversal triangle varies vertex vertices

### Pasajes populares

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

Página 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.

Página 114 - Find the locus of the centre of a circle which touches two fixed circles.

Página 210 - P, which moves so that its distance from a fixed point is always in a constant ratio to its perpendicular distance from a fixed straight line, is called a Conic Section.