Algebraic Geometry: A New Treatise on Analytical Conic Sections |
Other editions - View all
Algebraic Geometry: A New Treatise on Analytical Conic Sections (Classic ... W. M. Baker No preview available - 2018 |
Algebraic Geometry: A New Treatise on Analytical Conic Sections (Classic ... W. M. Baker No preview available - 2016 |
Common terms and phrases
a² b2 abscissa asymptotes Ax+By+C=0 Ax₁ ax² axes of co-ordinates axis of x bisects by² centre chord of contact circle x² conic conjugate diameters conjugate hyperbola constant directrix distance Draw the curve Draw the ordinates ellipse equal Find the angle Find the co-ordinates Find the equation find the locus fixed point focal chord foci focus given point intercepts joining the points latus rectum major axis meets the curve middle point normal ordinate PN origin parabola y² parabola y²=4ax perpendicular point h point of contact point of intersection point x₁ polar equation Prove quadratic radical axis radius represents two straight Revision Paper right angles roots slope squared paper straight line passing Tangents are drawn tangents drawn touches the circle transverse axis triangle values vertex x₁ x² y² y=mx+c y₁ y₁² وو
Popular passages
Page 46 - The line joining the middle points of two sides of a triangle is parallel to the third side and equal to half of the third side.
Page 98 - A point moves so that the sum of the squares of its distances from the sides of an equilateral triangle is constant.
Page 300 - 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.
Page 119 - 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.
Page 45 - K, x and y instead of a and (i, we have for the equation of its locus (3) Through a fixed point O any straight line is drawn meeting two given parallel straight lines in P and Q; through P and Q straight lines are drawn in fixed directions, meeting in B : prove that the locus of E is a straight line.
Page 45 - Find the locus of a point which moves so that the sum of its distances from two vertices of an equilateral triangle shall equal its distance from the third.
Page 268 - D' is a right angle, and the angle DPF = DPD', and PF = PD', .-. DFP is a right angle. In like manner, DFP' is a right angle ; hence, first, the part of the tangent intercepted between the point of contact and the directrix, subtends a right angle at the focus ; second, the line joining the points of contact of perpendicular tangents always passes through thefocut.
Page 14 - What is the equation of the locus of a point which moves so...
Page 97 - 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.
Page 132 - The locus of the middle points of a system of parallel chords in a parabola is called a diameter.