Cambridge problems, a collection of the printed questions proposed to the candidates for the degree of B.A. at the general examinations, 1801 to 1810

This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1810 edition. Excerpt: ...curve is a circular arc, and the focus of incident rays is in the circumference of the circle. 8. A body is projected, at a given distance from a centre of force, with a velocity and direction which will cause it to move in the reciprocal spiral, the force varying inversely as the cube of the distance. It is required to investigate Cotes's construction for determining the place of the body at the end of any given time. 9. Given the densities of the earth and Jupiter, the times of their diurnal revolutions, and the polar and equatorial diameters of the earth, to find the ratio between the polar and equatorial diameters of Jupiter. 10. Explain the Cartesian hypothesis of vertices, and shew that it will not satisfactorily account for the phasnomena of the heavenly bodies. 11. Given the latitudes and longitudes of two places upon the surface of the earth. It is required to determine their distance from each other upon Merqator's chart. 12. Supposing the sections of a groin, made by a plane passing through its axis, and cutting the opposite sides of the base at right angles, to be circles; what will be the nature of the section when the plane cuts the sides of the base at any other angle? 13. Given the latitude of the place, the declination of the sun, and the position of a plane, both with respect to the meridian, and the horizon. It is required to find at what hour of the day the sun will begin to shine upon it. 14. If the cover of a common lamp in the streets be a perfect circle, whose plane is perpendicular to the wall to which the lamp is attached; what will be the nature of its shadow on the wall, supposing the wick to be a point situate in the axis of the cover? Second Afternoon.--Mr. Soiverby. FOR THE THIRD, FOURTH, FIFTH, AND SIXTH...