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
Resultados 1-5 de 21
Página xiii
... double ordinate to any diameter of an ellipse or hyperbola meet that diameter produced in the same point 98. COR . 5. If any number of ellipses or hyperbolas be formed on the same axis , and if points in the curves be taken in the 85 85 ...
... double ordinate to any diameter of an ellipse or hyperbola meet that diameter produced in the same point 98. COR . 5. If any number of ellipses or hyperbolas be formed on the same axis , and if points in the curves be taken in the 85 85 ...
Página xiv
... double ordinate of any diameter be equal to the 87 888 88 888 89 parameter of that diameter , it will pass through the focus - 89 110. PROP . XXII . If a normal be drawn at any point in an ellipse , or hyperbola , to cut either of the ...
... double ordinate of any diameter be equal to the 87 888 88 888 89 parameter of that diameter , it will pass through the focus - 89 110. PROP . XXII . If a normal be drawn at any point in an ellipse , or hyperbola , to cut either of the ...
Página xvi
... double ordinates - 126. PROP . XXIX . If chords are drawn in an ellipse , hyperbola , or parabola , to intersect one another on any diameter , and tangents are drawn from the extremities of each to inter- sect one another ; the points ...
... double ordinates - 126. PROP . XXIX . If chords are drawn in an ellipse , hyperbola , or parabola , to intersect one another on any diameter , and tangents are drawn from the extremities of each to inter- sect one another ; the points ...
Página xvii
... double ordinate be drawn to a diameter of a parabola , and any other diameter be drawn , cutting that double ordinate and the curve ; the rectangle of the segments of the ordinate will be equal to that of the parameter of the axis and ...
... double ordinate be drawn to a diameter of a parabola , and any other diameter be drawn , cutting that double ordinate and the curve ; the rectangle of the segments of the ordinate will be equal to that of the parameter of the axis and ...
Página 29
... double accents on y , d , and k , a like equation will be obtained for the point P " . In the two equations thus formed let k ' and k " be the quantities to be determined ; then , since the equations are quadratic , and that the two ...
... double accents on y , d , and k , a like equation will be obtained for the point P " . In the two equations thus formed let k ' and k " be the quantities to be determined ; then , since the equations are quadratic , and that the two ...
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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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