J. J. SYLVESTER, M.A., F.R.S., PROFESSOR OF MATHEMATICS IN THE ROYAL MILITARY ACADEMY, N. M. FERRERS, M.A., FELLOW AND TUTOR OF GONVILLE AND CAIUS COLLEGE, CAMBRIDGE: ASSISTED BY G. G. STOKES, M.A., F.R.S., LUCASIAN PROFESSOR OF MATHEMATICS IN THE UNIVERSITY OF CAMBRIDGE; A. CAYLEY, M.A., F.R.S., SADLERIAN PROFESSOR OF MATHEMATICS IN THE UNIVERSITY OF CAMBRIDGE; AND M. HERMITE, CORRESPOnding EDITOR IN PARIS. VOL. XI. ὅ τι οὐσία πρὸς γένεσιν, ἐπιστημὴ πρὸς πίστιν καὶ διάνοια προς εικασίαι· ἔστι, LONDON: LONGMANS AND CO., PATERNOSTER ROW. CONTENTS OF VOLUME XI. On the Relation between the Angular Velocity about and the = 0-continued from Vol. x., FAGE General Solution and Extension of the Problem of the 15 School Mathematical Notes. By W. H. Besant Note on a Binary Evectant Form. By Samuel Roberts 26 38 42 Electro-Dynamics. Ampere's Theory of the Solenoid. By Percival 47 57 On the Algebra of Magic Squares. No. I. By Joseph Horner On the Stress exerted by a Rigid Body on a Fixed Point rigidly Note on Euclid, Book VI. Prop. 7. By J. F. Wolff, Jun. 76 Theorem on the Action of an Electric Current in a Helix wound on a Cylinder of any Form upon the Pole of a Magnet. By Percival Frost PAGE On the Evolutes of Cubic Curves. By Henry M. Jeffery Note on a Relation between Two Circles. By Prof. Cayley On the Porism of the In-and-Circumscribed Polygon, and the (2, 2) Note on Rhizic Curves. By William Walton 78 82 83 91 99 On a Problem of Elimination. By Prof. Cayley On the Quartic Surfaces (*XU, V, W)2 Cayley = 109 0-continued. By Prof. On Axes of Lug and Axes of Kick. By William Walton . On the Evolute of Cubic Curves--continued. By Henry M. Jeffery A Demonstration of a Property of Elliptic Functions. By William A Demonstration that every Equation has a Root. By William Walton 178 On the Spoke Asymptotes of Rhizic Curves. By William Walton 200 Note on Osculating Curves. By Joseph Wolstenholme On the Algebra of Magic Squares. No. III. By Joseph Horner On the Envelope of a Certain Quadric Surface. By Prof. Cayley Tables of the Binary Cubic Forms for the Negative Determinants, = 0 (Mod. 4), from 4 to 400; and = 1 (Mod. 4), from 3 to -99; and for five Irregular Negative Determinants. By Prof. Cayley 1 246 On the Transformation of Two Simultaneous Equations. By William 262 On Riccati's Equation. By J. W. L. Glaisher 267 |