A treatise on plane co-ordinate geometryMacmillan & Company, 1855 |
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Side
... drawn at right angles . Let P be any other point in the plane ; draw PM parallel to OY meeting OX in M , and PN parallel to OX meeting OY in N. The position of P is evidently known if OM and ON are known ; for if through N and M lines be ...
... drawn at right angles . Let P be any other point in the plane ; draw PM parallel to OY meeting OX in M , and PN parallel to OX meeting OY in N. The position of P is evidently known if OM and ON are known ; for if through N and M lines be ...
Side
... drawn at right angles . Let P be any other point in the plane ; draw PM parallel to OY meeting OX in M , and PN parallel to OX meeting OY in N. The position of P is evidently known if OM and ON are known ; for if through N and M lines be ...
... drawn at right angles . Let P be any other point in the plane ; draw PM parallel to OY meeting OX in M , and PN parallel to OX meeting OY in N. The position of P is evidently known if OM and ON are known ; for if through N and M lines be ...
Side 13
... drawn meeting the axis of y at a distance C from the origin B and making with the axis of x an angle of which the tangent A is- , then ( 2 ) will be the equation to this line . Hence ( 2 ) , and therefore also ( 1 ) , represents a ...
... drawn meeting the axis of y at a distance C from the origin B and making with the axis of x an angle of which the tangent A is- , then ( 2 ) will be the equation to this line . Hence ( 2 ) , and therefore also ( 1 ) , represents a ...
Side 13
... drawn . The line may also be constructed by comparing the given equation with the form in Art . 14 , y = 1 ; У = mx . This we know represents a line passing through the origin and making with the axis of x an angle of which the tangent ...
... drawn . The line may also be constructed by comparing the given equation with the form in Art . 14 , y = 1 ; У = mx . This we know represents a line passing through the origin and making with the axis of x an angle of which the tangent ...
Side 28
... m = m1 • y = mx + c . The quantity c remains undetermined since an indefinite . number of straight lines can be drawn parallel to a given straight line . 39. To determine the co - ordinates of the point 28 PARALLEL LINES .
... m = m1 • y = mx + c . The quantity c remains undetermined since an indefinite . number of straight lines can be drawn parallel to a given straight line . 39. To determine the co - ordinates of the point 28 PARALLEL LINES .
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a² sin² a²b² abscissa asymptotes ax² axes axis of x b2 a² b²x² centre chord of contact circle conic section conjugate diameters conjugate hyperbola constant cos² cy² denote directrix distance draw PM ellipse equa equal equation y² external point find the equation find the locus fixed point focal chord focus given point given straight line Hence the equation inclined latus rectum Let the equation line drawn line joining line which passes major axis meets the curve middle point negative ordinate origin of co-ordinates parabola perpendicular point h point of intersection polar co-ordinates polar equation positive preceding article radical axis radius ratio rectangular respectively right angles second degree shew shewn sides Similarly straight line passing suppose tangent tangents are drawn tion triangle vertex x₁ x²² y₁
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