An Elementary Treatise on Conic SectionsMacmillan, 1883 - 352 sider |
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Side vii
... POLE • Examples on Chapter VIII . 166 176 CHAPTER IX . GENERAL EQUATION OF THE SECOND DEGREE , Every curve whose equation is of the second degree is a conic Co - ordinates of the centre of a conic 179 181 182 The Discriminant • Position ...
... POLE • Examples on Chapter VIII . 166 176 CHAPTER IX . GENERAL EQUATION OF THE SECOND DEGREE , Every curve whose equation is of the second degree is a conic Co - ordinates of the centre of a conic 179 181 182 The Discriminant • Position ...
Side x
... pole of a line 305 Examples on Chapter XIII . 309 CHAPTER XIV . RECIPROCAL POLARS . PROJECTIONS . Definition of ... poles and polars 324 Straight lines meeting in a point projected into parallel straight lines 324 Any line can be ...
... pole of a line 305 Examples on Chapter XIII . 309 CHAPTER XIV . RECIPROCAL POLARS . PROJECTIONS . Definition of ... poles and polars 324 Straight lines meeting in a point projected into parallel straight lines 324 Any line can be ...
Side xi
... poles 329 Anharmonic properties of points on a conic , and of tangents to a conic 330 Homographic ranges and pencils 331 Two lines at right angles together with the lines to the circular points at infinity form a harmonic pencil 334 ...
... poles 329 Anharmonic properties of points on a conic , and of tangents to a conic 330 Homographic ranges and pencils 331 Two lines at right angles together with the lines to the circular points at infinity form a harmonic pencil 334 ...
Side 39
... pole on the line joining the two points ( 1 , 1 ) , ( † 2 , 02 ) . 47. We shall conclude this chapter by the solution of some examples . ( 1 ) On the sides of a triangle as diagonals , parallelograms are described , having their sides ...
... pole on the line joining the two points ( 1 , 1 ) , ( † 2 , 02 ) . 47. We shall conclude this chapter by the solution of some examples . ( 1 ) On the sides of a triangle as diagonals , parallelograms are described , having their sides ...
Side 43
... formed by the lines where and a ' = c , a = 0 , a = c , a ' = 0 , a = x cos a + y sin a — p , ax cos a ' + y sin a ' - p ' . 10. ABCD is a parallelogram . Taking A as pole THE STRAIGHT LINE . 43 Examples on Chapter II.
... formed by the lines where and a ' = c , a = 0 , a = c , a ' = 0 , a = x cos a + y sin a — p , ax cos a ' + y sin a ' - p ' . 10. ABCD is a parallelogram . Taking A as pole THE STRAIGHT LINE . 43 Examples on Chapter II.
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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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