Analytic GeometryJohn Wiley & Sons, 1915 - 197 páginas |
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Termos e frases comuns
asymptotes b₁ C₂ Completing the squares Consequently constant coördinate axes cos² curve is symmetrical cuts the curve cylinder determine direction cosines distance ellipse equa equal equation connecting equation x² Example Exercises expression factors Find its equation Find the equation Find the locus fixed circle fixed point following equations function given graph Hence imaginary initial line intersection length locus of points middle point nates negative origin P₁P2 P₂ pairs parabola parameter parametric equations perpendicular PIP2 point moves polar coördinates polar equation polynomial projections quantities radius real numbers rectangular coördinates rectangular equation represents root satisfy the equation second degree segment semi-axes Show side slope solutions solved straight line surface symmetrical with respect tangent tion triangle variable vector vertex vertical x-axis xy-plane y-axis y₁ yz-plane zero
Passagens mais conhecidas
Página 89 - A point moves so that the sum of the squares of its distances from the points (0, 0), (1, 0) is constant.
Página 89 - Any curve which is the locus of a point which moves so that the ratio of its distance from a fixed point to its distance from a fixed line is constant.
Página 77 - The parabola is the locus of a point which moves so that its distance from a fixed point is equal to its distance from a fixed line.
Página 89 - A point moves so that the square of its distance from the point (0, 3) equals the cube of its distance from the axis of y.
Página 128 - A curve defined as the locus of a point which moves so that the product of its distances from two fixed points is constant and equal to the square of half the distance between the fixed points.
Página 74 - Plot the locus of points the sum of whose distances from two fixed points remains constant.
Página 83 - Find the locus of a point the difference of whose distances from two given parallel lines is equal to a given length.
Página 31 - In an inscribed quadrilateral, the product of the diagonals is equal to the sum of the products of the opposite sides.
Página 157 - That is, the sum of the squares of the direction cosines of a line is unity.