# Book:Alfred Wrigley/Examples and Problems in Pure and Applied Mathematics

## Alfred Wrigley and William H. Johnstone: A Collection of Examples and Problems in Pure and Mixed Mathematics, with Answers and Occasional Hints

Published $\text {1845}$, Longman, Brown, Green, and Longmans.

### Subject Matter

• Mathematical exercises

This book is often referred to as Wrigley's Examples.

### Contents

A Deficiency in Examples illustrative of the different branches of Mathematical Science has long been felt both by Pupils and Tutors. Elementary Works usually contain collections of Examples; but these are generally too limited in number and variety.

The whole course of Mathematics read by Undergraduates in Cambridge will define the scope of the proposed Book. Every subject will be separately illustrated by a copious collection of appropriate Examples. One volume it is hoped will comprise the whole. The present part contains Examples in Arithmetic, Algebra, Logarithms, Geometry, Plane Trigonometry, Mensuration, Conic Sections (or Analytical Geometry of two Dimensions), and such Problems in Mechanics as do not depend for their solution on the differential and Integral Calculus.

Every problem-question has its answer annexed. In order to ensure accuracy in this particular, every problem solved by one of the Authors has been carefully revised by his colleague. And with the same care has every Theorem in the Work been demonstrated.

With each of the more difficult questions a hint will be given, by the aid of which it is presumed the Student may complete the solution. This will be found especially of service to such Students as are without Tutors.

Those subjects which chiefly occupy the time of Mathematical Students in the Naval and Military Colleges have received especial attention from the Authors. The greatest care has been used in stating the questions so as to render them easily understood. Those problems which in their enunciation and solution bespeak a refined analytical generalisation, have been simplified to render them more generally useful, or have been altogether excluded. The chief object has been to supply the greatest number of useful questions solvable by the greatest number of attentive Students.

May 17th, 1845

ARITHMETIC.
Vulgar Fractions
Decimal Fractions
Extraction of Roots
Duodecimals
Direct Simple Proportion
Inverse Simple Proportion
Compound Proportion
Practice
Simple Interest
Compound Interest
Discount
Purchase of Stocks
Single Fellowship
Double Fellowship

ALGEBRA.
Elementary
Division
Greatest Common Measure
Least Common Multiple
Fractions
Surds
Equations
Problems in Simple Equations
Ratio, Proportion, and Variation
Arithmetical Progression
Geometrical Progression
Harmonical Progression
Piling of Balls and Shells
Permutations and Combinations
Binomial and Multinomial Theorems
Indeterminate Coefficients
Scales of Notation
Properties of Numbers
Logarithms

GEOMETRICAL DEDUCTIONS

MENSURATION.
Areas of Plane Figures
Surfaces and Contents of Solids
Measurement of Shot, &c

TRIGONOMETRY.
Trigonometrical Formulae
Properties of Plane Figures
Solution of Triangles
Heights and Distances
Expansions, Series, &c.
Solution of Equations
Subsidiary Angles

ANALYTICAL GEOMETRY AND CONIC SECTIONS.
Application of Algebra
Straight Line
Parabola
Ellipse
Hyperbola
Section of the Cone, &c

STATICS.
Forces on one Point and in the same Plane
Forces in one Plane, not through the same Point
Forces not in the same Plane
The Centre of Gravity
Machines
Friction

DYNAMICS.
Impact of Bodies
Uniformly accelerated Motion and Gravity
Motion upon a Curve, and the Simple Pendulum
Projectiles

ERRATA.