A Treatise on Plane Co-ordinate Geometry as Applied to the Straight Line and the Conic Sections

Macmillan, 1858 - 316 páginas

Comentarios de usuarios -Escribir una reseña

No hemos encontrado ninguna reseña en los sitios habituales.

Índice

 The Ellipse 139

Pasajes populares

Página 187 - Hyperbola is the locus of a point which moves so that its distance from a fixed point, called the focus, bears a constant ratio, which is greater than unity, to its distance from a fixed straight line, called the directrix.
Página 318 - PLANE CO-ORDINATE GEOMETRY, as applied to the Straight Line and the Conic Sections. With numerous Examples.
Página 98 - A point moves so that the sum of the squares of its distances from the points (0, 0), (1, 0) is constant.
Página 25 - In this equation n is the tangent of the angle which the line makes with the axis of abscissae, and B is the intercept on this axis from the origin.
Página 139 - Thus a 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 straight line (see fig.
Página 32 - To find the equations to the straight lines which pass through a given point and make a given angle with a given straight line.
Página 227 - Put x = x cos 0 — y sin 0, y = x
Página 266 - S through which any radius vector is drawn meeting the curves in P, Q, respectively. Prove that the locus of the point of intersection of the tangents at P, Q, is a straight line. Shew that this straight line passes through the intersection of the directrices of the conic sections, and that the sines of the angles which it makes with these lines are inversely proportional to the corresponding excentrities.
Página 10 - Art. 11 so as to give an expression for the area of a triangle in terms of the polar co-ordinates of its angular points.
Página 294 - A cone is a solid figure described by the revolution of a right-angled triangle about one of the sides containing the right angle, which side remains fixed.