# A treatise on the application of analysis to solid geometry, commenced by D.F. Gregory, concluded by W. Walton

J. Deighton, 1852 - 310 pages

### Contents

 CHAPTER I 1 ARTICLE 13 CHAPTER XVI 21 APPENDIX 29 CHAPTER III 49 IFFI 51 ARTICLE 54 CHAPTER VI 84
 24 161 CHAPTER X 165 29 179 224 191 CHAPTER XI 193 CHAPTER XII 210 CHAPTER XIII 225 CHAPTER XIV 232

 Form of the equation to the surface when a diametral 90 ARTICLE Page 98 CHAPTER VII 127 CHAPTER VIII 138 ARTICLE Page 144 CHAPTER IX 155
 To calculate an expression for the torsion 239 267 240 On the Curvature of Surfaces 245 30 273 31 301 To find the angle between two straight lines of which 307

### Popular passages

Page 16 - To express the area of a triangle in terms of the coordinates of its angular points.
Page 309 - SOLUTIONS of the GEOMETRICAL PROBLEMS proposed at St. John's College, Cambridge, from 1830 to 1846, consisting chiefly of Examples in Plane Coordinate Geometry. With an Appendix, containing several general Properties of Curves of the Second Order...
Page 309 - Mathematical Tracts on the Lunar and Planetary Theories. The Figure of the Earth, Precession and Nutation, the Calculus of Variations, and the Undulatory Theory of Optics.
Page 305 - A Treatise on the Application of Analysis to Solid Geometry. Commenced by DF GREGORY, MA, late Fellow and Assistant Tutor of Trinity College, Cambridge ; Concluded by W. WALTON, MA, Trinity College, Cambridge.
Page 309 - Elementary Course of Mathematics. Designed principally for Students of the University of Cambridge. By HARVEY GOODWIN, DD, Lord Bishop of Carlisle.
Page 10 - It, so that PR is equal to MN. Now the inclination of a straight line to a plane is the angle which the line makes with the intersection of the plane and a plane perpendicular to it passing through the line. Since, then, PM and QN are perpendicular to ABCD, the plane of PQMN is also perpendicular to it, and the inclination of PQ to the plane AB CD is measured by the angle between PQ and MN or the equal angle QPR.
Page 278 - The sum of the squares of the projections of any three conjugate diameters on a fixed line is constant. Instead of projecting the diameters on the line directly, it is better to project the coordinates of the extremities of each diameter, and add them. Now, if X...