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absolute pitch amplitude application approximately calculated centre circle clamped coefficients component vibrations consider corresponding cosh Crown 8vo curve denote depends determined differential equation displacement edges Edition effect ellipse equal equal temperament equation of motion equilibrium example expressed finite fixed force acting forced vibration free vibrations frequency friction given gravest tone Green's theorem impressed force inertia infinite initial integral internal roots interval kinetic energy length load longitudinal mass method modes of vibration nodal diameters nodal lines nodal system nodes normal co-ordinates normal functions obtained octave P. G. Tait phase pitch plane plate positive potential energy problem quadratic function quantities quarter period radius ratio represented result satisfied shews sinh solution sound square string suppose symmetrical tension theorem theory tion TREATISE tuning fork type of vibration vanish velocity wave whence Young's modulus zero
Page 347 - ARISTOTLE— AN INTRODUCTION TO ARISTOTLE'S RHETORIC. With Analysis, Notes and Appendices. By EM COPE, Fellow and Tutor of Trinity College, Cambridge, 8vo.
Page 332 - Jackson — GEOMETRICAL CONIC SECTIONS. An Elementary Treatise in which the Conic Sections are defined as the Plane Sections of a Cone, and treated by the Method of Projection. By J. STUART JACKSON, MA, late Fellow of Gonville and Caius College, Cambridge.
Page 334 - 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 329 - Crown 8vo. 6s. 6d. ON SOUND AND ATMOSPHERIC VIBRATIONS. With the Mathematical Elements of Music. Designed for the Use of Students in the University. Second Edition, Revised and Enlarged. Crown 8vo.
Page 328 - RESEARCHES IN THE CALCULUS OF VARIATIONS, principally on the Theory of Discontinuous Solutions: an Essay to which the Adams' Prize was awarded in the University of Cambridge in 1871.
Page 342 - OLIVER'S LESSONS IN ELEMENTARY BOTANY. With nearly Two Hundred Illustrations, Tenth Thousand. l8mo. cloth. 4^. 6d. This book is designed to teach the Elements of Botany on Professor Henslow' s plan of selected Types and by the use of Schedules. The earlier chapters, embracing the elements of Structural and Physiological Botany, introduce us to the methodical study of the Ordinal Types. The concluding chapters are entitled, "How to dry Plants
Page 331 - AN ELEMENTARY TREATISE ON THE LUNAR THEORY, with a Brief Sketch of the Problem up to the time of Newton. Second Edition, revised. Crown 8vo. cloth. 5*. 6d. Hemming. — AN ELEMENTARY TREATISE ON THE DIFFERENTIAL AND INTEGRAL CALCULUS, for the Use; of Colleges and Schools.
Page 344 - Rumford (Count).— THE LIFE AND COMPLETE WORKS OF BENJAMIN THOMPSON, COUNT RUMFORD. With Notices of his Daughter. By GEORGE ELLIS. With Portrait. Five Vols. 8vo. 4/.
Page 328 - New Edition. Crown 8vo. $s. KEY TO PLANE TRIGONOMETRY. Crown 8vo. los. 6d. A TREATISE ON SPHERICAL TRIGONOMETRY. New Edition, enlarged. Crown 8vo. 4-?. 6d. PLANE CO-ORDINATE GEOMETRY, as applied to the Straight Line and the Conic Sections. With numerous Examples.
Page 333 - TODHUNTER— Works by I. TODHUNTER, MA, FRS, of St. John's College, Cambridge. '' Mr. Todhunter is chiefly known to students of Mathematics as the author of a series of admirable Diathematical text-books, which possess the rare qualities of being clear in style and absolutely free from mistakes, typographical or other.