An Elementary Treatise on Conic SectionsMacmillan, 1883 - 352 sider |
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Side x
... Projection . Definition of projection · 323 The projection of any curve is a curve of the same degree 323 Projections of tangents , poles and polars 324 Straight lines meeting in a point projected into parallel straight lines 324 Any ...
... Projection . Definition of projection · 323 The projection of any curve is a curve of the same degree 323 Projections of tangents , poles and polars 324 Straight lines meeting in a point projected into parallel straight lines 324 Any ...
Side xi
Charles Smith. A system of conics inscribed in a quadrilateral projected into confocal conics · Cross ratios of pencils and ranges unaltered by projection Conics through four fixed points are cut by any straight line in pairs of points ...
Charles Smith. A system of conics inscribed in a quadrilateral projected into confocal conics · Cross ratios of pencils and ranges unaltered by projection Conics through four fixed points are cut by any straight line in pairs of points ...
Side 315
Charles Smith. CHAPTER XIV . RECIPROCAL POLARS . PROJECTIONS . 300. If we have any figure consisting of any number of points and straight lines in a plane , and we take the polars of those points ... PROJECTIONS Definition of polar ...
Charles Smith. CHAPTER XIV . RECIPROCAL POLARS . PROJECTIONS . 300. If we have any figure consisting of any number of points and straight lines in a plane , and we take the polars of those points ... PROJECTIONS Definition of polar ...
Side 324
... projection , and let it cut the original plane in the line K'L ' . Then , since the plane VK'L ' and the plane of projection are parallel , their line of intersection , which is the projection of K'L ' , is at an infinite distance ...
... projection , and let it cut the original plane in the line K'L ' . Then , since the plane VK'L ' and the plane of projection are parallel , their line of intersection , which is the projection of K'L ' , is at an infinite distance ...
Side 328
... projected into coaxial circles . For , project the line joining two of the points to infinity , and one of the conics into a circle ; then all the conics will be projected into circles ... PROJECTION . 329 320. Properties of 328 EXAMPLES .
... projected into coaxial circles . For , project the line joining two of the points to infinity , and one of the conics into a circle ; then all the conics will be projected into circles ... PROJECTION . 329 320. Properties of 328 EXAMPLES .
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An Elementary Treatise on Conic Sections by the Methods of Co-ordinate Geometry Charles Smith Uten tilgangsbegrensning - 1921 |
Vanlige uttrykk og setninger
2hxy a² b2 angular points asymptotes ax² axes bisect by² Cambridge centre circumscribing coefficients College confocal conics conjugate diameters conjugate hyperbola constant corresponding cross ratio Crown 8vo curve diagonals directrix distance eccentric angles Edition ellipse envelope equal angles Extra fcap fcap find the equation find the locus fixed point fixed straight line foci focus four points given points given straight line harmonic Hence imaginary inscribed latus rectum Let the co-ordinates Let the equation line joining line whose equation meet middle point nine-point circle normals pair of conjugate parabola pass pencil perpendicular point of intersection point Q points at infinity points of contact polar pole Professor projection prove quadrilateral radical axis rectangular hyperbola required equation right angles shew sides square subtend tangents triangle of reference values vertex zero
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