Analytical Geometry: With the Properties of Conic Sections, and an Appendix, Constituting a Tract on Descriptive GeometryLongman, Brown, Green and Longmans, 1846 - 202 páginas |
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Página vi
... intersections of straight lines and planes in space , the solutions of which are performed graphically by orthogonal projections of the lines , on two co - ordinate planes ; and there are added the projections of the three most useful ...
... intersections of straight lines and planes in space , the solutions of which are performed graphically by orthogonal projections of the lines , on two co - ordinate planes ; and there are added the projections of the three most useful ...
Página ix
... intersect one another at right angles 40. DEF . 5. The axes and vertices of a curve - - · 30 co co co 32 33 31 CHAP . II . MODIFICATIONS OF THE GENERAL EQUATION OF THE SECOND DEGREE . 41. Determination of the co - ordinates of the point ...
... intersect one another at right angles 40. DEF . 5. The axes and vertices of a curve - - · 30 co co co 32 33 31 CHAP . II . MODIFICATIONS OF THE GENERAL EQUATION OF THE SECOND DEGREE . 41. Determination of the co - ordinates of the point ...
Página xiii
... intersect the 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 ...
... intersect the 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 ...
Página xiv
... intersect them ; the several ordinates will be to one another in the same proportions as the semi - axes which are parallel to them 100. COR . 7. If a tangent be drawn at any point in an ellipse or hyperbola to meet two conjugate ...
... intersect them ; the several ordinates will be to one another in the same proportions as the semi - axes which are parallel to them 100. COR . 7. If a tangent be drawn at any point in an ellipse or hyperbola to meet two conjugate ...
Página xvi
... intersect one another on any diameter , and tangents are drawn from the extremities of each to inter- sect one another ; the points of intersection for every pair of tangents will be in one straight line parallel to a tangent at the ...
... intersect one another on any diameter , and tangents are drawn from the extremities of each to inter- sect one another ; the points of intersection for every pair of tangents will be in one straight line parallel to a tangent at the ...
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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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