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 viii
... nates - 20. Formulæ for the transformation of rectangular to oblique co- ordinates · - 21. Formulæ for the transformation of oblique to rectangular co- ordinates - 22. Formulæ for the transformation of rectangular to rectangular co ...
... nates - 20. Formulæ for the transformation of rectangular to oblique co- ordinates · - 21. Formulæ for the transformation of oblique to rectangular co- ordinates - 22. Formulæ for the transformation of rectangular to rectangular co ...
Página xii
... nates , the length of a line drawn from one of the foci of an ellipse or hyperbola , or from the focus of a parabola , to any point in the curve a . DEF . 15. A radius vector Page 65 67 67 68 69 70 71 22 71 - 72 83. COR . In an ellipse ...
... nates , the length of a line drawn from one of the foci of an ellipse or hyperbola , or from the focus of a parabola , to any point in the curve a . DEF . 15. A radius vector Page 65 67 67 68 69 70 71 22 71 - 72 83. COR . In an ellipse ...
Página xiv
... nate to that diameter be drawn from the point of contact ; the distance , on the diameter , from the ordinate to the extremity of the diameter will be equal to the distance from that extremity to the tangent 105. COR . 1. If any number ...
... nate to that diameter be drawn from the point of contact ; the distance , on the diameter , from the ordinate to the extremity of the diameter will be equal to the distance from that extremity to the tangent 105. COR . 1. If any number ...
Página xvii
... nate be drawn , also from the vertex of the diameter , and from the intersection of the ordinate with the curve , ordi- nates be drawn to any other diameter ; the rectangle con- tained by the parameter of the latter diameter and the ...
... nate be drawn , also from the vertex of the diameter , and from the intersection of the ordinate with the curve , ordi- nates be drawn to any other diameter ; the rectangle con- tained by the parameter of the latter diameter and the ...
Página xviii
... nate planes are oblique to one another 146. PROP . IV . To find the equations for a line which is to pass through two given points in space , the co - ordinate axes making any angles with one another 147. PROP . V. To find the co ...
... nate planes are oblique to one another 146. PROP . IV . To find the equations for a line which is to pass through two given points in space , the co - ordinate axes making any angles with one another 147. PROP . V. To find 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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