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 22
Página ix
... meter 38. COROLLARY . Tangents at the opposite extremities of any diameter , are parallel to the conjugate diameter and to one another · 39. Scholium . There can be only one pair of conjugate diameters which intersect one another at ...
... meter 38. COROLLARY . Tangents at the opposite extremities of any diameter , are parallel to the conjugate diameter and to one another · 39. Scholium . There can be only one pair of conjugate diameters which intersect one another at ...
Página xiv
... meter of the diameter passing through that point - 109. COR . If a double ordinate of any diameter be equal to the 87 888 88 888 89 parameter of that diameter , it will pass through the focus - 89 110. PROP . XXII . If a normal be drawn ...
... meter of the diameter passing through that point - 109. COR . If a double ordinate of any diameter be equal to the 87 888 88 888 89 parameter of that diameter , it will pass through the focus - 89 110. PROP . XXII . If a normal be drawn ...
Página xvii
... meter bisecting the chord - 130. PROP . XXXII . If through either extremity of the transverse axis of an hyperbola a chord be drawn , and it be produced to cut the asymptotes ; also , if there be drawn a diameter to which that chord is ...
... meter bisecting the chord - 130. PROP . XXXII . If through either extremity of the transverse axis of an hyperbola a chord be drawn , and it be produced to cut the asymptotes ; also , if there be drawn a diameter to which that chord is ...
Página 34
... any two dia- meters of the curve , intersecting ( and bisecting ) 34 SECT . II . PROPERTIES OF CONIC SECTIONS . positions of the co-ordinate axes 2066 CHAP II MODIFICATIONS OF THE GENERAL EQUATION OF THE SECOND DEGREE.
... any two dia- meters of the curve , intersecting ( and bisecting ) 34 SECT . II . PROPERTIES OF CONIC SECTIONS . positions of the co-ordinate axes 2066 CHAP II MODIFICATIONS OF THE GENERAL EQUATION OF THE SECOND DEGREE.
Página 35
... meters of the curve , intersecting ( and bisecting ) one another in o ,; therefore the values of a and ẞ become those of the co - ordinates of such point of section . The terms which enter into those values being constant ; it follows ...
... meters of the curve , intersecting ( and bisecting ) one another in o ,; therefore the values of a and ẞ become those of the co - ordinates of such point of section . The terms which enter into those values being constant ; it follows ...
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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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