A treatise on plane co-ordinate geometryMacmillan & Company, 1855 |
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Side 1
... similar convention to that in Art . 4 ; angles measured in one direction from OX are con- sidered positive and in the other negative . Thus if in the figure XOP be a positive angle , XOQ will be a negative angle ; if the angle XOQ be a ...
... similar convention to that in Art . 4 ; angles measured in one direction from OX are con- sidered positive and in the other negative . Thus if in the figure XOP be a positive angle , XOQ will be a negative angle ; if the angle XOQ be a ...
Side 13
... similar triangles , that is x a PM AM OB y b - = AO a - x y + = 1 . a 18. It will be a useful exercise for the student to draw the straight lines corresponding to some given equations . Thus suppose the equation 2y + 3x = 7 proposed ...
... similar triangles , that is x a PM AM OB y b - = AO a - x y + = 1 . a 18. It will be a useful exercise for the student to draw the straight lines corresponding to some given equations . Thus suppose the equation 2y + 3x = 7 proposed ...
Side 37
... similar manner— the rule being the following . Collect the terms on one side , and if necessary , change the signs so that the equation may be in the form Ax + By - C = 0 where C is positive ; then divide by √ ( 4+ B2 ) ; thus the ...
... similar manner— the rule being the following . Collect the terms on one side , and if necessary , change the signs so that the equation may be in the form Ax + By - C = 0 where C is positive ; then divide by √ ( 4+ B2 ) ; thus the ...
Side 68
... similar pro- perty will hold for the intersections of the same lines with the sides of the triangle A'B'C ' . 18. In Art . 76 , suppose the line joining F and G to meet AB in P and CD in Q ; then find the equations to CP , DP , AQ , BQ ...
... similar pro- perty will hold for the intersections of the same lines with the sides of the triangle A'B'C ' . 18. In Art . 76 , suppose the line joining F and G to meet AB in P and CD in Q ; then find the equations to CP , DP , AQ , BQ ...
Side 70
... similar manner we shall see as we proceed that the equation to a curve often assumes a more or less simple form , according to the position of the origin and of the axes . It is consequently found convenient to introduce the ...
... similar manner we shall see as we proceed that the equation to a curve often assumes a more or less simple form , according to the position of the origin and of the axes . It is consequently found convenient to introduce the ...
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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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