Plane and Solid Analytic GeometryGinn & Company, 1897 - 371 páginas |
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Otras ediciones - Ver todo
Plane and Solid Analytic Geometry Frederick Harold Bailey,Frederick Shenstone Woods Vista completa - 1899 |
Plane and Solid Analytic Geometry Frederick Harold Bailey,Frederick Shenstone Woods Vista completa - 1902 |
Términos y frases comunes
a² b2 ANALYTIC GEOMETRY angle tan-1 axes parallel axis of x bisectors centre chord of contact circle x² conic section conjugate diameters conjugate hyperbola cos² curve determined directrix distance ellipse equa equal Find a tangent Find the equation Find the locus Find the points foci focus formulas given line given point Hence hyperbola imaginary latus rectum line joining loci m₁ major axis middle point negative normal original axes P₂ parabola parallel to YY parameters perpendicular plane plot point of intersection point P₁ point x1 polar coördinates Prove analytically quadratic quadratic equation radical axis radius required equation respectively satisfy the equation secant set of axes Show sides slope subtangent Transform the equation transverse axis triangle Va² values vertex vertices whence x₁ y₁ y₂ y²+2 Gx zero
Pasajes populares
Página 227 - A point moves so that the sum of the squares of its distances from the points (0, 0), (1, 0) is constant.
Página 20 - The straight line joining the middle points of two sides of a triangle is parallel to the third side, and equal to half of it.
Página 131 - A conic section is the locus of a point which moves so that its distance from a fixed point, called the focus, is in a constant ratio to its distance from a fixed straight line, called the directrix.
Página 21 - ... four times the square of the line joining the middle...
Página 130 - A point moves so that the square of its distance from the base of an isosceles triangle is equal to the product of its distances from the other two sides. Show that the locus is a circle. 50. Prove that the two circles z2 + y2 + 2 G,z + 2 Ftf + Cj = 0 and x2 + y...
Página 21 - The sum of the squares of the other two sides is equal to twice the square of half the base, plus twice the square of the median.
Página 21 - Prove analytically that in any right triangle the straight line drawn from the vertex to the middle point of the hypotenuse is equal to one half the hypotenuse.
Página 84 - Prove analytically that the medians of a triangle meet in a point. 71. Prove analytically that the perpendicular bisectors of the sides of a triangle meet in a point. 72. Prove analytically that the perpendiculars from the vertices of a triangle to the opposite sides meet in a point.
Página 324 - The coordinates of the vector in the ox'y' system are (x',y') and, furthermore, as may be verified, x' = x cos 6 + y sin 6 y
Página 195 - The locus of the point of intersection of two tangents to a parabola which...