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 66
Página viii
... CONJUGATE DIAMETERS OF A CURVE OF THE SECOND ORDER . 28. Conic sections defined 29. Form of the general equation - 30. Transformation of the equation into one which involves the positions of the co - ordinate axes - 2066 - 26 31 ...
... CONJUGATE DIAMETERS OF A CURVE OF THE SECOND ORDER . 28. Conic sections defined 29. Form of the general equation - 30. Transformation of the equation into one which involves the positions of the co - ordinate axes - 2066 - 26 31 ...
Página ix
... conjugate diameter and to one another · 39. Scholium . There can be only one pair of conjugate diameters which 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 ...
... conjugate diameter and to one another · 39. Scholium . There can be only one pair of conjugate diameters which 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 ...
Página x
... equation of the curve leads to par- ticular results 51. Equations for a pair of conjugate diameters , when referred to another pair of conjugate diameters as axes Art . 49. Condition under which the origin of the co - ordinates is on ...
... equation of the curve leads to par- ticular results 51. Equations for a pair of conjugate diameters , when referred to another pair of conjugate diameters as axes Art . 49. Condition under which the origin of the co - ordinates is on ...
Página xi
... conjugate diameter , such chord shall be equal to the parameter of the former diameter 67. DEF . 12. A focus 68. DEF ... axes - - 57 58 58 58 70. The distance of either focus of an ellipse from either extremity of the conjugate axis is ...
... conjugate diameter , such chord shall be equal to the parameter of the former diameter 67. DEF . 12. A focus 68. DEF ... axes - - 57 58 58 58 70. The distance of either focus of an ellipse from either extremity of the conjugate axis is ...
Página xii
... conjugate semi - diameters is equal to the difference , of the squares of the semi - axes of the curve · - · · 79. PROP . XI . In an ellipse and an hyperbola the parallelogram formed on any two semi - conjugate diameters , as sides , is ...
... conjugate semi - diameters is equal to the difference , of the squares of the semi - axes of the curve · - · · 79. PROP . XI . In an ellipse and an hyperbola the parallelogram formed on any two semi - conjugate diameters , as sides , 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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