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 v
... curve , while equations involving three variables are capable of representing the positions of an infinite number of points in a line or surface of any kind , and situated in any manner in space : he , also , first arranged curves in ...
... curve , while equations involving three variables are capable of representing the positions of an infinite number of points in a line or surface of any kind , and situated in any manner in space : he , also , first arranged curves in ...
Página vi
... curves are investigated in a series of propositions . The third section , entitled Analytical Geometry of Three Dimensions ... curve lines formed by planes intersecting the surfaces . The Appendix is a short tract on Descriptive Geometry ...
... curves are investigated in a series of propositions . The third section , entitled Analytical Geometry of Three Dimensions ... curve lines formed by planes intersecting the surfaces . The Appendix is a short tract on Descriptive Geometry ...
Página viii
... CURVES OF THE SECOND ORDER . CHAPTER I. THE 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 ...
... CURVES OF THE SECOND ORDER . CHAPTER I. THE 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 ...
Página ix
... curve 33. DEF . 2. A tangent of a curve 34. PROP . II . If a straight line be drawn so as to bisect two chords which are parallel to one another in a curve of the second order , it will bisect all the chords which may be drawn parallel ...
... curve 33. DEF . 2. A tangent of a curve 34. PROP . II . If a straight line be drawn so as to bisect two chords which are parallel to one another in a curve of the second order , it will bisect all the chords which may be drawn parallel ...
Página x
... curve line Page 40 · 40 - 41 · 42 43 4.4 4.4 52. Condition under which a diameter does not cut a particular branch of a curve of the second order a . Two diameters of an hyperbola may be infinite b . DEF . 10. An asymptote c . Equation ...
... curve line Page 40 · 40 - 41 · 42 43 4.4 4.4 52. Condition under which a diameter does not cut a particular branch of a curve of the second order a . Two diameters of an hyperbola may be infinite b . DEF . 10. An asymptote c . Equation ...
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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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