Analytical Geometry: With the Properties of Conic Sections, and an Appendix, Constituting a Tract on Descriptive GeometryLongman, Brown, Green and Longmans, 1846 - 202 páginas |
Dentro del libro
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Página x
... asymptotes , the segments between the curve and the asymptotes will be equal to one another - - 61. PROP . III . To find the equation for an hyperbola with respect to the asymptotes in terms of the transverse and conjugate axes 32 52 53 ...
... asymptotes , the segments between the curve and the asymptotes will be equal to one another - - 61. PROP . III . To find the equation for an hyperbola with respect to the asymptotes in terms of the transverse and conjugate axes 32 52 53 ...
Página xi
... asymptotes are equivalent to one another a . The co - ordinates of points in an hyperbola , with respect to the asymptotes , are reciprocally proportionals 63. PROP . IV . To find the equation for a parabola in terms of an abscissa or ...
... asymptotes are equivalent to one another a . The co - ordinates of points in an hyperbola , with respect to the asymptotes , are reciprocally proportionals 63. PROP . IV . To find the equation for a parabola in terms of an abscissa or ...
Página xiii
... asymptotes , the segments between the point of contact and the asymptotes will be equal to one another - 97. COR . 4. Tangents drawn from the extremities of a double ordinate to any diameter of an ellipse or hyperbola meet that diameter ...
... asymptotes , the segments between the point of contact and the asymptotes will be equal to one another - 97. COR . 4. Tangents drawn from the extremities of a double ordinate to any diameter of an ellipse or hyperbola meet that diameter ...
Página xvii
... asymptotes , the rectangle of the segments between its intersections with the curve and the point in which it cuts either asymptote , will be equal to the square of the semi - diameter which is conjugate to the dia- meter bisecting the ...
... asymptotes , the rectangle of the segments between its intersections with the curve and the point in which it cuts either asymptote , will be equal to the square of the semi - diameter which is conjugate to the dia- meter bisecting the ...
Página xxii
... asymptote to the curve surface 201. DEF . 26. An hyperboloid of one sheet - - - 162 - 163 - 163 202. PROP . IV . To find the nature of the curves resulting from the intersection of the figure by a plane parallel to one of the co ...
... asymptote to the curve surface 201. DEF . 26. An hyperboloid of one sheet - - - 162 - 163 - 163 202. PROP . IV . To find the nature of the curves resulting from the intersection of the figure by a plane parallel to one of the co ...
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Otras ediciones - Ver todas
Analytical Geometry: With the Properties of Conic Sections, and an Appendix ... John Narrien Sin vista previa disponible - 2023 |
Analytical Geometry: With the Properties of Conic Sections, and an Appendix ... John Narrien Sin vista previa disponible - 2018 |
Términos y frases comunes
asymptotes bisected centre chord co-ordinate axes co-ordinate planes coefficients cone conjugate axes conjugate diameters conjugate hyperbola consequently cos.² curve line curve surface directrix distance double ordinate draw drawn parallel ellipse or hyperbola equation becomes equivalent excentricity figure find the equation foci focus given line given point imagine let OA let the co-ordinates line be drawn line drawn meet nates oblique origin parabola parallelepiped parameter perpen perpendicular to ox plane in space plane XOY plane zox point of contact produced projected lines projections on zox PROPOSITION rectangle represented respectively right angles Scholium second member semi-conjugate semi-transverse axis square straight line substituting tangent be drawn transverse axis triangles Trigon values whence zero
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