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I am much indebted to several friends for reading portions of the proof sheets, but especially to Mr W. Dobbs, M. For any criticisms, suggestions, or corrections, I shall be grateful. July 4, This little book has been prepared in the hope of meeting the requirements of Secondary Schools, and covers the course for the Oxford and Cambridge Junior Local Examinations.

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The scheme recommended by the Mathematical Association has been generally followed, though it was not found advisable, or even possible, to omit entirely the subject of Recurring Decimals. The book is written on the lines of Loney's "Arithmetic for Schools," and both its text and examples have been used when they seemed best adapted to the present purpose. Many changes and simplifications have, however, been made which a considerable experience in School Teaching has suggested.

Applications of Integrals: Hydrostatic Pressure and Force: Example 1: Force on a Dam

In order to deal as fully as possible with the less elementary processes of Arithmetic, and at the same time to keep the book within a reasonable size, it is assumed that the student already knows the four "Simple" Rules and the "Compound" Rules. Twelve pages of miscellaneous questions on these are given, and it is hoped that they will be found sufficient for revision. The ordinary Tables are prefixed. December 4th, The present volume is intended to be for the use of the class of students for whom my Elements of Statics and Dynamics was written, and may be regarded as a continuation of that book.

Hence, except in a very few articles, only a knowledge of Elementary Geometry and Algebra and of the Elements of Trigonometry is presumed. A few formulae relating to the mensuration of some elementary solids are prefixed to the text. Most of the examples in the chapters are easy, with the exception of a few in Chap.

J. Hamblin Smith

These latter examples, as well as a few other examples and articles marked with asterisks, should be omitted by the student on a first reading of the subject. The Miscellaneous Examples at the end of the book are, with the exception of the first few, generally of a harder type than those in the different chapters.

Any corrections of errors, or hints for improvement of the book, will be thankfully received. July 19, The present work is a companion book to my Dynamics of a Particle and of Rigid Bodies. The book starts with the elementary Principles of the subject, but a Student would profit more by its use if he had previously read some elementary work, such as my Elements of Statics.

A knowledge of the ordinary processes of the Differential and Integral Calculus is assumed, and also, in some articles, of the notions of Solid Geometry.

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It will be evident that, in a book of this size, many parts of the subject must be quite untouched, but I have some hopes that, within the limits I have set to myself, the book is fairly complete. With Numerous Examples. Phear, M. Fourth Edition, Crown 8vo.

This edition has been carefully revised throughout, and many new illustrations and examples added, which it is hoped will increase its usefulness to students at the Universities and in Schools. In accordance with suggestions from many engaged in tuition, answers to all the Examples have been given at the end of the book. By John H. Pratt, M. September 12, In the following work I have tried to present the elements of Coordinate Geometry in a manner suitable for Beginners and Junior Students. The present book only deals with Cartesian and Polar Coordinates. Within these limits I venture to hope that the book is fairly complete, and that no propositions of very great importance have been omitted.

The Straight Line and Circle have been treated more fully than the other portions of the subject, since it is generally in the elementary conceptions that beginners find great difficulties. There are a large number of Examples, over in all, and they are, in general, of an elementary character.

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The examples are especially numerous in the earlier parts of the book. I am much indebted to several friends for reading portions of the proof sheets, but especially to Mr W. Dobbs, M. For any criticisms, suggestions, or corrections, I shall be grateful.


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July 4, This little book has been prepared in the hope of meeting the requirements of Secondary Schools, and covers the course for the Oxford and Cambridge Junior Local Examinations. The scheme recommended by the Mathematical Association has been generally followed, though it was not found advisable, or even possible, to omit entirely the subject of Recurring Decimals.


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The book is written on the lines of Loney's "Arithmetic for Schools," and both its text and examples have been used when they seemed best adapted to the present purpose. Many changes and simplifications have, however, been made which a considerable experience in School Teaching has suggested. In order to deal as fully as possible with the less elementary processes of Arithmetic, and at the same time to keep the book within a reasonable size, it is assumed that the student already knows the four "Simple" Rules and the "Compound" Rules.

Twelve pages of miscellaneous questions on these are given, and it is hoped that they will be found sufficient for revision.

Elementary Hydrostatics. With Numerous Examples, Book by J B Phear (Paperback) | uxudoburubic.tk

The ordinary Tables are prefixed. December 4th, The present volume is intended to be for the use of the class of students for whom my Elements of Statics and Dynamics was written, and may be regarded as a continuation of that book. Hence, except in a very few articles, only a knowledge of Elementary Geometry and Algebra and of the Elements of Trigonometry is presumed. A few formulae relating to the mensuration of some elementary solids are prefixed to the text. Most of the examples in the chapters are easy, with the exception of a few in Chap.

These latter examples, as well as a few other examples and articles marked with asterisks, should be omitted by the student on a first reading of the subject.