An Elementary Treatise on Conic SectionsMacmillan, 1883 - 352 sider |
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Side x
... 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 line can be projected to infinity , and at the same time any two ...
... 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 line can be projected to infinity , and at the same time any two ...
Side 8
... curve . Conversely all points whose co - ordinates satisfy a given algebraical equation lie on a curve which is called the locus of that equation . For example , if a straight line be drawn parallel to the axis OY and at a distance a ...
... curve . Conversely all points whose co - ordinates satisfy a given algebraical equation lie on a curve which is called the locus of that equation . For example , if a straight line be drawn parallel to the axis OY and at a distance a ...
Side 48
... curve will be obtained . ✓ In the above the axes may be rectangular or oblique . 50. To change the direction of the axes without changing the origin , both systems being rectangular . Y L N ' N M X Let OX , OY be the original axes ; OX ...
... curve will be obtained . ✓ In the above the axes may be rectangular or oblique . 50. To change the direction of the axes without changing the origin , both systems being rectangular . Y L N ' N M X Let OX , OY be the original axes ; OX ...
Side 49
... curve will be obtained . - Ex . 1. What does the equation 3x2 + 2xy + 3y2 – 18x - 22y + 50 = 0 be- come when referred to rectangular axes through the point ( 2 , 3 ) , the new axis of x making an angle of 45 ° with the old ? First ...
... curve will be obtained . - Ex . 1. What does the equation 3x2 + 2xy + 3y2 – 18x - 22y + 50 = 0 be- come when referred to rectangular axes through the point ( 2 , 3 ) , the new axis of x making an angle of 45 ° with the old ? First ...
Side 62
... curve , 1 + 2g + c = 0 . And , since ( 2 , 1 ) is on the curve , Whence 4 + 1 + 4g + 2f + c = 0 . g = ƒ = -1 , and c = 1 . The required equation is therefore x2 + y2 — 2x − 2y + 1 = 0 . - - 67. To find the equation of a circle when the ...
... curve , 1 + 2g + c = 0 . And , since ( 2 , 1 ) is on the curve , Whence 4 + 1 + 4g + 2f + c = 0 . g = ƒ = -1 , and c = 1 . The required equation is therefore x2 + y2 — 2x − 2y + 1 = 0 . - - 67. To find the equation of a circle when the ...
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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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