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 abscissa asymptotes auxiliary circle axes CA² CB² 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
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.