# THE PRINCIPLES OF THE SOLUTION OF SENATE-HOUSE 'RIDERS'

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### Contents

 Euclid 1 Geometrical Conic Sections 13 Algebra 22 Trigonometry 34 Statics 44 Dynamics 56
 Hydrostatics 72 Optics 84 Newton 92 Examples for Practice 104 Copyright

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Page 135 - The Fitness of Holy Scripture for Unfolding the Spiritual Life of Man : Christ the Desire of all Nations ; or, the Unconscious Prophecies of Heathendom. Hulsean Lectures.
Page 4 - To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts, shall be equal to the square of the other part.
Page 136 - An Introduction to the Study of the Gospels; Including a new and improved Edition of " The Elements of the Gospel Harmony.
Page 121 - CAMBRIDGE,— Cambridge Guide: Including Historical and Architectural Notices of the Public Buildings, and a concise Account of the Customs and Ceremonies of the University, with a Sketch of the Places most worthy of Note in the County. A New Edition, with Engravings and a Map. 12mo. cloth, 5s. CAMBRIDGE FITZWILLIAM MUSEUM.—A Hand-Book to the Pictures in the Fitzwilliam Museum, Cambridge. Crown 8vo. sewed, i .. 6d.
Page 136 - WILSON (WP)— A TREATISE ON DYNAMICS. By WP WILSON, MA, Fellow of St. John's College, Cambridge, and Professor of Mathematics in Queen's College, Belfast. 8vo.
Page 6 - The angle at the centre of a circle is double of the angle at the circumference upon the same base, that is, upon the same part of the circumference.
Page 11 - AB is a diameter, and P any point in the circumference of a circle; AP and BP are joined and produced if necessary ; if from any point C of AB, a perpendicular be drawn to AB meeting AP and .BP in points D and E respectively, and the circumference of the circle in a point F, shew that CD is a third proportional of CE and CF.
Page 124 - Above all, his way of telling a story, for its eager liveliness, and the perpetual running commentary of the narrator happily blended with the narration, is perhaps unequalled.
Page 9 - IF the angle of a triangle be divided into two equal angles, by a straight line which also cuts the base; the segments of the base shall have the same ratio which the other sides of the triangle have to one another...
Page 4 - In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle.