Mathematical Questions and SolutionsF. Hodgson., 1887 - Mathematics |
Other editions - View all
Common terms and phrases
A₁ ABCD ax² axis B₁ bisecting Brocard C₁ centre centroid cercle chance chord circum-circle concyclic conic conique constant species coordinates coordonnées cos² côtés courbe cubic curve denote deux diagonal diameter droite dx dy ellipse equal equation fixed point given circles Hence IGNACIO BEYENS intersection l'angle l'équation l'on latus rectum le point lieu décrit locus m₁ mid-points nine-point circle normal orthocentre parabola parallel perpendicular peut plane polynômes PQRS Prof prove quadrilateral quartic question R. F. DAVIS radii radius rapport ratio rencontre respectively right angles sides sin ai sin² sn² Solution by Professor Solution by R. F. Solution by Rev straight line T. R. TERRY tangents tetrahedron triangle ABC velocity vertical vitesse whence XLVI
Popular passages
Page 27 - If the velocity of a carriage along a road is proportional to the cube of the cosine of the inclination of the road to the horizon, determine the path of quickest ascent from the bottom to the top of a hemispherical hill, and shew that it consists of the spherical curve described by a point of a great circle which rolls on a small circle described about the pole with a radius ^, together with an arc of a great circle.
Page 129 - ... 7761. A flexible string is suspended slackly from two fixed points, and acted upon by a uniform horizontal wind, blowing in a direction making any angle with the horizontal projection of the line joining the points. Find the curve in which the string hangs, and the tension at any point.