An Elementary Treatise on Analytic Geometry: Embracing Plane Geometry and an Introduction to Geometry of Three DimensionsD. Van Nostrand, 1880 - 287 σελίδες |
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Άλλες εκδόσεις - Προβολή όλων
An Elementary Treatise on Analytic Geometry, Embracing Plane Geometry and an ... Edward Albert Bowser Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
An Elementary Treatise on Analytic Geometry: Embracing Plane Geometry and an ... Edward Albert Bowser Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2008 |
Συχνά εμφανιζόμενοι όροι και φράσεις
a²b² a²y a²y² a²yy abscissa asymptotes axis of x b²x b²x² b²xx called centre chord of contact circle Conic Sections conjugate diameters conjugate hyperbola contrary signs curve cuts cuts the axis directrix distance drawn ellipse equa equation required extremities find the co-ordinates find the equation find the length find the locus Find the points Find the polar fixed point focal chord focus formulæ given hyperbola given point giving Hence imaginary inclined initial line latus rectum line parallel locus major axis middle point negative numerically equal old axes ordinate origin parabola perpendicular plane xy point of intersection polar equation pole positive principal vertex radical axis radius radius-vector referred represents required equation right line passing semi-minor axis subtangent symmetrical with respect tan² tangent transform transverse axis triangle variables vertex
Δημοφιλή αποσπάσματα
Σελίδα 87 - A point moves so that the sum of the squares of its distances from the four sides of a square is constant.
Σελίδα 67 - A Circle is a plane figure bounded by a curved line every point of which is equally distant from a point within called the center.
Σελίδα 88 - A conic section is the locus of a point which moves so that its distance from a fixed point bears a constant ratio to its distance from a fixed straight line.
Σελίδα 279 - A plane is tangent to a surface when it has at least one point in common with the surface, through which, if any intersecting plane be passed, the right line cut from the plane will be tangent to the line cut from the surface at the point. This point is the point of contact. It follows from this definition, that the tangent plane is the locus of, or...
Σελίδα 89 - The parabola is the locus of a point which moves in a plane so that its distance from a fixed point is equal to its distance from a fixed line.
Σελίδα 38 - The most ordinary form of the equation of a straight line is у = ax + b, in which a is the tangent of the angle which the line makes with the axis of A", and b the distance from the origin to the point in which it cuts the axis of Y.
Σελίδα 62 - The perpendiculars from the vertices of a triangle to the opposite sides meet in a point.
Σελίδα 192 - The radius of the circle, which touches an hyperbola and its asymptotes, is equal to that part of the latus rectum produced which is intercepted between the curve and the asymptote.
Σελίδα 66 - ... we have elsewhere found (see p. 34) to be the equation of the bisector of the base of the triangle. Ex. 4. Given two fixed points A and B, one on each of the axes, if A
Σελίδα 89 - The straight line through the focus perpendicular to the directrix is called the Axis of the parabola. The intersection of the axis and the directrix is called the Foot of the axis.