The Elements of Coördinate Geometry: In Three Parts. I. Cartesian Geometry. II. Quaternions. III. Modern Geometry, and an AppendixJ. Wiley & sons, 1879 - 329 páginas |
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The Elements of Coordinate Geometry: In Three Parts: 1. Cartesian Geometry ... De Volson Wood Visualização completa - 1882 |
The Elements of Coördinate Geometry: In Three Parts: I. Cartesian Geometry ... De Volson Wood Visualização completa - 1882 |
Termos e frases comuns
a²b² abscissa algebra angle asymptote Ax² axis of x B₁ bisects centre chord circle coefficients cone conic section conjugate diameters constant coördinate planes coördinates cos² curve cycloid directrix distance ellipse equa equal equation becomes equation of condition expression Find the equation fixed point foci focus generatrix given line gives hence hyperbola hypocycloid imaginary infinite number intercept latus rectum length locus major axis medial middle point multiplication negative nß₁ oblique ordinate origin parabola parallel perpendicular plane xy point of intersection polar equation pole positive preceding Article preceding equation principal vertex quadric Quaternions radius vector required equation right line secant sides Similarly sin² straight line Substituting the values subtangent surface tangent tion transferrence triangle unit-vectors variables vertex y₁ zero α₁
Passagens mais conhecidas
Página 178 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Página 139 - A point moves so that the sum of the squares of its distances from the points (0, 0), (1, 0) is constant.
Página 288 - That is, the sines of the sides of a spherical triangle are proportional to the sines of the opposite angles.
Página 240 - ... sides parallel. 13. Two quadrilaterals are equivalent when their diagonals are respectively equal, and form equal angles. 14. Lines joining the middle points of the opposite sides of any quadrilateral, bisect each other. 15. Is there a point in every triangle, such that any straight line through it divides the triangle into equivalent parts? 16. To construct a parallelogram having the diagonals and one side given. 17. The diagonal and side of a square have no common measure, nor common multiple.
Página 223 - Oval is the locus of a point the product of whose distances from two fixed points is constant. Let P be any point, .Fand F...
Página 256 - Hence the line which bisects the vertical angle of an isosceles triangle, bisects the base, and is also perpendicular to it.
Página 144 - Through the point (зс, у' ) on a parabola a normal is drawn; find the equation of a tangent parallel to the normal, and the point of contact of the tangent. 85. Find the equation to the normal passing through the point of contact of the tangent in the preceding example. 86. Find the locus of the middle points of focal chords to a parabola. 87. Show that the locus of the centre of a circle which touches a given line and given circle is a parabola. 88. Find the locus of the centre of a circle inscribed...
Página 320 - so that whereas in the case of Negative roots, we are to say the point B cannot be found, so as is supposed in AC forward, but backward it may be in the same line ; we must here say, in the case of a Negative Square the point B cannot be found so as was, in the line AC; but above that Line it may be in the same Plane.
Página 195 - Quadric be cut by two planes parallel to xy, whose equations are z = k and z — k l, the curves of intersection will be found by eliminating z from equation (1). The two resulting equations will contain the same values of A, H, and B ; hence parallel sections of a Quadric are similar Conies. 255. Transform the coordinates by changing the direction of the axes, the origin remaining the same. For this purpose use the equations, (Art. 219), x = x cos X