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 39
Página xi
... 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 segment of any ...
... 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 segment of any ...
Página xii
... . In an ellipse , or an hyperbola , the rectangle contained by two lines drawn from the foci , to meet at any point in the curve , is equivalent to the square of the semi- Art . diameter , which is conjugate to one passing xii CONTENTS .
... . In an ellipse , or an hyperbola , the rectangle contained by two lines drawn from the foci , to meet at any point in the curve , is equivalent to the square of the semi- Art . diameter , which is conjugate to one passing xii CONTENTS .
Página xiv
... equivalent to the rectangle of the distances of the ordinate from the centre and from the tangent - 101. COR . 8. If a tangent and ordinates be drawn as before , the rectangle contained by the distances of an ordinate and the tangent ...
... equivalent to the rectangle of the distances of the ordinate from the centre and from the tangent - 101. COR . 8. If a tangent and ordinates be drawn as before , the rectangle contained by the distances of an ordinate and the tangent ...
Página xv
... equivalent to the square of the excentricity · 113. COR . 2. A normal being drawn from any point in an ellipse or hyperbola to cut the transverse and conjugate axes of the curve ; the length of the line between the curve and the ...
... equivalent to the square of the excentricity · 113. COR . 2. A normal being drawn from any point in an ellipse or hyperbola to cut the transverse and conjugate axes of the curve ; the length of the line between the curve and the ...
Página xvi
... equivalent to the square of the semi - diameter which is conjugate to that diameter 124. COR . 2. If a tangent be drawn at any point in an ellipse or hyperbola , and others be drawn from the extremities of any diameter to cut the first ...
... equivalent to the square of the semi - diameter which is conjugate to that diameter 124. COR . 2. If a tangent be drawn at any point in an ellipse or hyperbola , and others be drawn from the extremities of any diameter to cut the first ...
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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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