Coordinate GeometryMacmillan, 1909 - 300 pàgines |
Altres edicions - Mostra-ho tot
Frases i termes més freqüents
a² b2 a²m² abscissa asymptotes ax² axes axis bisects by² called chords circle x² coefficients coincident points cone conic conicoid conjugate diameters constant curve denote direction cosines directrix ellipse ellipsoid equa equal Example figure Find the equation Find the graph Find the locus fixed point foci focus given line gives Hence hyperbola hyperboloid k₁ k₂ latus rectum left member length line joining line parallel line segment meet mid-point negative O₁₁ obtained origin P₁ pair parabola y² parametric equations passes perpendicular perpendicular distance point of intersection point P(x polar polar coordinates positive projection Prove radius rectangular referred represents required equation respectively right angles roots second degree semimajor axis sin² slope solution square straight line substitution surface tion transformation triangle values vertex x-axis x₁ x²/a² xy-plane y-axis y₁ y²/b² λε
Passatges populars
Pàgina 39 - The line which joins the mid-points of two sides of a triangle is parallel to the third side and equal to one half of it.
Pàgina 207 - A PLANE is a surface, such, that if any two of its points be joined by a straight line, such.
Pàgina 184 - The locus of a point, the sum of the squares of whose distances from n fixed points is constant, is a circle.
Pàgina 170 - The right cycloid is the curve traced by a point on the circumference of a circle which rolls without sliding upon a fixed straight line in the same plane.
Pàgina 163 - The cissoid was used to solve the problem of the duplication of the cube, that is, of finding the edge of a cube whose volume is twice that of a given cube, one of the famous problems of antiquity.
Pàgina 75 - From the definition of an ellipse, as the locus of a point the sum of whose distances from two fixed points is constant, •shew that the ellipses are similar when the eccentricities are the same.
Pàgina 27 - Consider the circle whose center is at the origin and whose radius is a: (1) * + y1 = a'.
Pàgina 22 - Find the equation of the line which passes through the point (0, 5) and makes an angle of 60° with the positive direction of x-axis.
Pàgina 202 - Find the coordinates of the mid-point of the line segment joining the points (5, — 2, 7) and (2, 2, — 5); also the coordinates of the points where this line segment is trisected.
Pàgina 26 - Prove analytically that the medians of a triangle meet in a point. 70. Prove analytically that the perpendiculars from the vertices of a triangle to the opposite sides meet in a point.