## A treatise on the integral calculus and its applications |

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angle Application assigned assume Author axis becomes Book bounded Calculus Cambridge circle cloth co-ordinates College condition considered constant contained corresponding Crown 8vo curve cycloid definite denote determine differential coefficient distance double dx dy element ENGLISH equal equation example expression extreme figure Find the area find the volume formula fraction function give given greater Hence HISTORY holds illustrate included indefinitely independent integrate with respect known length less limits maximum means measured method numerator obtain origin plane portion positive preceding article present problem proceed Prove quantity radius result revolve round Schools shew Similarly solid sphere student suppose surface taken tangent tion transformed Treatise unity vanish variables variation volume whole zero

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Seite 341 - PLANE CO-ORDINATE GEOMETRY, as applied to the Straight Line and the Conic Sections. With numerous Examples.

Seite 3 - Mr. Smith's work is a most useful publication. The rules are stated with great clearness. The examples are well selected, ami worked out with just sufficient detail, without being encumbered by too minute explanations; and there prevails throughout it that just proportion of theory and practice, which is the crowning excellence of an elementary work.

Seite 7 - SNOWBALL — THE ELEMENTS OF PLANE AND SPHERICAL TRIGONOMETRY; with the Construction and Use of Tables of Logarithms. By JC SNOWBALL, MA New Edition.

Seite 15 - For really ripe scholarship. extensive acquaintance with Latin literature, and familiar knowledge of continental criticism, ancient and modern, it is unsurpassed among English editions.

Seite 12 - In order to spare astronomers and observers in natural philosophy the confusion and loss of time which are produced by referring to the ordinary treatises embracing both branches of probabilities (the first...

Seite 12 - ... which can be altered only by the changes of entire units or integral multiples of units in the fundamental conditions of the problem ; the other concerning those chances which have respect to insensible gradations in the value of the element measured), the present tract has been drawn up.

Seite 19 - A kindred reason has suggested the propriety of pausing at the year 1520, — the year when Luther, having been extruded from those Churches that adhered to the Communion of the Pope, established a provisional form of government and opened a fresh era in the history of Europe.

Seite 12 - It is of importance that those who wish to cultivate any subject may be able to ascertain what results have already been obtained, and thus reserve their strength for difficulties which have not yet been conquered. The Author has endeavoured in this work to ascertain distinctly what has been effected in the Progress of the Calculus, and to form some estimate of the manner in which it has been effected.

Seite 10 - In the present Treatise the author has endeavoured to supply the want of a work on a subject of great importance and high interest— La Place's Coefficients and Functions and the calculation of the Figure of the Earth by means of his remarkable analysis. No student of the higher branches of Physical Astronomy should be ignorant of La Place's analysis and its result — " a calculus," says Airy, " the most singular in its nature and the most powerful in its application that has ever appeared.

Seite 10 - Routh. — AN ELEMENTARY TREATISE ON THE DYNAMICS OF THE SYSTEM OF RIGID BODIES. With Numerous Examples. By EDWARD JOHN ROUTH, MA, late Fellow and Assistant Tutor of St. Peter's College, Cambridge; Examiner in the University of London. Second Edition, enlarged. Crown 8vo. cloth.