Geometrical Conics Including Anharmonic Ratio and Projection: With Numerous ExamplesMacmillan, 1863 - 222 páginas |
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Página v
... shown , in the Appendix , to be closely connected with some im- portant properties of central Conics . It is also shown that Props . IX . ,
... shown , in the Appendix , to be closely connected with some im- portant properties of central Conics . It is also shown that Props . IX . ,
Página vi
With Numerous Examples Charles Taylor. It is also shown that Props . IX . , X. are geometrically equivalent to the ordinary polar equation of a Conic ; whilst Props . III . , IV . lead to those of the tangent and chord re- spectively ...
With Numerous Examples Charles Taylor. It is also shown that Props . IX . , X. are geometrically equivalent to the ordinary polar equation of a Conic ; whilst Props . III . , IV . lead to those of the tangent and chord re- spectively ...
Página vii
... shown at the end of Chapter XV . In Chapter XIII . , the fundamental Anharmonic Pro- perties of Conics are proved by general methods which were first exhibited , in the Quarterly Journal of Pure and Applied Mathematics , by Mr. B. W. ...
... shown at the end of Chapter XV . In Chapter XIII . , the fundamental Anharmonic Pro- perties of Conics are proved by general methods which were first exhibited , in the Quarterly Journal of Pure and Applied Mathematics , by Mr. B. W. ...
Página 5
... it in two points . Conversely , it may be shown that no straight line can meet a conic in more points than two . From this property conics are termed curves of the second order . ( 6 ) CHAPTER II . CONICS . PROP . TRACING THE CURVE . 5.
... it in two points . Conversely , it may be shown that no straight line can meet a conic in more points than two . From this property conics are termed curves of the second order . ( 6 ) CHAPTER II . CONICS . PROP . TRACING THE CURVE . 5.
Página 24
... shown , conversely , that every diameter bisects a system of parallel chords . The focal chord parallel to the tangent at any point is said to be the Parameter of the diameter passing through that point . The term ordinate is not ...
... shown , conversely , that every diameter bisects a system of parallel chords . The focal chord parallel to the tangent at any point is said to be the Parameter of the diameter passing through that point . The term ordinate is not ...
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Geometrical Conics: Including Anharmonic Ratio and Projection, with numerous ... Charles Taylor Vista previa restringida - 2022 |
Geometrical Conics: Including Anharmonic Ratio and Projection, with numerous ... Charles Taylor Vista previa restringida - 2022 |
Términos y frases comunes
ABCD abscissa Alternando asymptotes auxiliary circle axis in G bisects the angle CA² Cambridge CB² CD² centre chord of contact chord of curvature chord PQ chords parallel cone Conic Sections conjugate diameters conjugate hyperbola constant ratio corresponding CP² Crown 8vo Draw drawn parallel ellipse equally inclined fixed point fixed straight line focal chord foci focus harmonic Hence inscribed latus rectum Lemma Let the tangent locus major axis meet the axis meet the directrix meet the minor meets the curve middle point minor axis opposite sides ordinate parabola parallel chords parallelogram pass pencil perpendicular plane point of intersection point Q points of contact polar produced projection Prop prove quadrilateral rectangular hyperbola right angles semi-diameter semi-latus rectum similar triangles Similarly straight line drawn touches vertex
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