## A Treatise on the Differential Calculus |

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### Contents

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### Common terms and phrases

algebraical Algebraical Curves angle arbitrary functions assignable magnitude asymptote axis change sign coordinates corresponding values cosec curvature curve Cycloid d'u dz denote Differential Calculus differential equations dx dx dz dx dy dx dxdy dy dx dy dy2 du dy2 dz dx dz dy dz dz eliminate equal evident expression find the Differential finite formula fractions function f(x function of x Hence implicit function increment independent variables indeterminate infinite limit maxima and minima maximum or minimum minimum value multiple point multiplying negative obtain osculating circle partial differential coefficients partial differential equations particular value points of inflection positive quantity proceeding proposed equation putting regard shews simultaneous values sin2 Stirling's theorem Suppose tangent Taylor's Theorem total differential whence zero

### Popular passages

Page 263 - the University, CAMBRIDGE. Airy (Astronomer Royal). Mathematical Tracts; on the Lunar and Planetary Theories ; the Figure of the Earth ; Precession and Nutation ; the Calculus of Variations ; the Undulatory Theory of Optics. Third Edition, 8vo. Plates, 15*.

Page 270 - Publication. Solutions of the Geometrical Problems proposed at St. John's College, Cambridge, from 1830 to 1846, consisting chiefly of Examples in Plane Co-ordinate Geometry. With an Appendix, containing the determination of the magnitude and position of the Axes of the Conic Section, represented hy the general equation

Page 268 - Walton (William.) A Collection of Problems in illustration of the Principles of Theoretical Mechanics. 8vo. cloth, 16s. Webster (T.) Principles of Hydrostatics ; an Elementary Treatise on the Laws of Fluids and their practical Applications. Third Edition. 12mo. cloth, 7*.

Page 264 - 6s. Euclid ; A Companion to. With a set of improved figures. 12mo. cloth, 5s. Solutions of the Trigonometrical Problems, proposed at St. John's College, Cambridge, from 1829 to 1846. By THOMAS GASKIN, MA, late Fellow and Tutor of Jesus College, Cambridge. 8vo.

Page 266 - Hind (Rev. J.) Key to Arithmetic. The Solutions of the Questions attended with any difficulty in the Principles and Practice of Arithmetic ; with an Appendix, consisting of Questions for Examination in all the rules of Arithmetic. 8vo. 5s. Hind (Rev. J.) Elements of Plane and Spherical Trigonometry. Fourth Edition.

Page 265 - An Elementary Course of Mathematics. Designed principally for Students of the University of Cambridge. By the Rev. H. GOODWIN, MA, late Fellow and Mathematical Lecturer of Gonville and Caius College. 8vo. cloth, 18s. It is the design of this work to supply a short Course of Mathematical reading, including those subjects (Euclid and Arithmetic excepted) which, according to the Grace of the Senate passed May 13,

Page 264 - Or, the Problems, separately, for Schools where other Editions of the Text may be in use. Is. Euclid; The Elements of. By R. SIMSON, MD, Twenty-fifth Edition, revised and corrected. 8vo. 8s. 12mo. 5s. Euclid ; The Elements of. From the Text of Simson. Edited in the Symbolical form, by R. BLAKELOCK, 12mo. 6s.

Page 268 - Whewell (Dr.) Mechanical Euclid, containing the Elements of Mechanics and Hydrostatics, demonstrated after the manner of Geometry. Fourth Edition. 12mo. 4s. 6d. ; or with Supplement,

Page 267 - Caius College, Cambridge. In five Parts. Part i., 8vo. sewed, 4s. Senate-House Problems for 1844. ^With Solutions, by M. O'BRIEN, MA, Caius College, and RL ELLIS, MA, Trinity College, Moderators. 4to. sewed, 4s. 6d.

Page 270 - the general equation to the Curve of the second order referred to Oblique Coordinates. By THOMAS GASKIN, MA, late Fellow and Tutor of Jesus College, Cambridge. An Appendix to GOODWIN'S Collection of Problems and Examples, containing the Answers, and the Solutions of some of the more difficult, of the Questions A Collection of Problems in Illustration of the Principles of Theoretical Hydrostatics. By W. WALTON, MA, Trinity College.