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 74
Página vii
... a point expressed in terms of polar co - ordinates 6. Expression of the distance between two points in terms of the rectangular co - ordinates of these points a . Angle which the straight line joining two given points makes with the ...
... a point expressed in terms of polar co - ordinates 6. Expression of the distance between two points in terms of the rectangular co - ordinates of these points a . Angle which the straight line joining two given points makes with the ...
Página viii
... given point , and is parallel to a given straight line 16. Expression of the co - ordinates of the point of intersection , and the inclination of two straight lines which cut each other - - 13 17. Equation of a straight line which ...
... given point , and is parallel to a given straight line 16. Expression of the co - ordinates of the point of intersection , and the inclination of two straight lines which cut each other - - 13 17. Equation of a straight line which ...
Página xi
... a point in any diameter of an ellipse , an hyperbola , or a parabola , through which a chord being drawn parallel to the conjugate diameter , such chord shall be equal to the parameter of the former diameter 67. DEF . 12. A focus 68 ...
... a point in any diameter of an ellipse , an hyperbola , or a parabola , through which a chord being drawn parallel to the conjugate diameter , such chord shall be equal to the parameter of the former diameter 67. DEF . 12. A focus 68 ...
Página xiii
... point - 88. PROP . XVII . If a straight line be drawn perpendicular to the transverse axis of an ellipse or hyperbola , intersecting that axis in a point at a distance from the centre of the curve , which is a third proportional to the ...
... point - 88. PROP . XVII . If a straight line be drawn perpendicular to the transverse axis of an ellipse or hyperbola , intersecting that axis in a point at a distance from the centre of the curve , which is a third proportional to the ...
Página xv
... A sub - normal 112. COR . 1. A tangent and a normal being drawn from any point in an ellipse or hyperbola to meet the transverse axis of the curve ; the rectangle contained by the distances of the normal and tangent from the centre is ...
... A sub - normal 112. COR . 1. A tangent and a normal being drawn from any point in an ellipse or hyperbola to meet the transverse axis of the curve ; the rectangle contained by the distances of the normal and tangent from the centre is ...
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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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