An Elementary Treatise on Conic SectionsMacmillan, 1883 - 352 sider |
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Side 4
... line , we must consider the same direction as positive throughout , so that in all cases we must have PQ + QR = PR . 5. To find the co - ordinates of a point which divides in a given ratio the straight line joining two given points ...
... line , we must consider the same direction as positive throughout , so that in all cases we must have PQ + QR = PR . 5. To find the co - ordinates of a point which divides in a given ratio the straight line joining two given points ...
Side 5
... line PQ is bisected : the co - ordinates of the point of bisection are { ( x , + x ̧ ) , 1 ( y1 + Y2 ) . If the line ... lines joining the following pairs of points : ( i ) ( 1 , − 1 ) and ( − 1 , 1 ) ; ( ii ) ( a , −a ) and ( − b ...
... line PQ is bisected : the co - ordinates of the point of bisection are { ( x , + x ̧ ) , 1 ( y1 + Y2 ) . If the line ... lines joining the following pairs of points : ( i ) ( 1 , − 1 ) and ( − 1 , 1 ) ; ( ii ) ( a , −a ) and ( − b ...
Side 15
... line in terms of the intercepts which it makes on the axes . Let A , B be the points where the straight line cuts ... join OP . Then Δ ΑΡΟ + Δ ΡΒ0 = Δ ΑΒΟ ; .. ay + bx = ab , y + = a b 1 . This equation may be written in the form lx + my ...
... line in terms of the intercepts which it makes on the axes . Let A , B be the points where the straight line cuts ... join OP . Then Δ ΑΡΟ + Δ ΡΒ0 = Δ ΑΒΟ ; .. ay + bx = ab , y + = a b 1 . This equation may be written in the form lx + my ...
Side 20
... line joining the points ( 2 , 3 ) and ( 3 , 1 ) is . y - 3 x - 2 1-3 3 2 ' or y + 2x - 7 = 0 . with 25. Let the straight line AP make an angle the axis of x . Let the co - ordinates of A be x ' , y ' , and those of P be x , y , and let ...
... line joining the points ( 2 , 3 ) and ( 3 , 1 ) is . y - 3 x - 2 1-3 3 2 ' or y + 2x - 7 = 0 . with 25. Let the straight line AP make an angle the axis of x . Let the co - ordinates of A be x ' , y ' , and those of P be x , y , and let ...
Side 22
... lines whose equations are ( i ) x + y = 2 , ( iii ) 4x - 3y + 1 = 0 , ( ii ) 3x - 4y = 12 , and ( iv ) 2x + 5y + 7 = 0 . • 2. Find the equations of the straight lines joining the following pairs of points— ( i ) ( 2 , 3 ) and ( −4 , 1 ) ...
... lines whose equations are ( i ) x + y = 2 , ( iii ) 4x - 3y + 1 = 0 , ( ii ) 3x - 4y = 12 , and ( iv ) 2x + 5y + 7 = 0 . • 2. Find the equations of the straight lines joining the following pairs of points— ( i ) ( 2 , 3 ) and ( −4 , 1 ) ...
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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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