## A Course of Mathematics: In Two Volumes. For the Use of the Royal Military Academy, Volume 1 |

### From inside the book

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Page v

one can be of the great beauty and importance of Sturm's

one can be of the great beauty and importance of Sturm's

**theorem**, I have been led , I confess , to introduce it here more in accordance with the dictum of the mathematical public , than from my own conviction of its practical utility ... Page viii

241 161 incomplete piles 241 Binomial

241 161 incomplete piles 241 Binomial

**theorem**242 240 PLANE TRIGONOMETRY . Method of working .. 245 172 Exercises for expanIntroduction ...... 421 sion by 245 173 Definitions and notation ..... 422 383 Approximation to the Relations of ... Page 1

In mathematics are several general terms or principles ; such as , Definitions , Axioms , Propositions ,

In mathematics are several general terms or principles ; such as , Definitions , Axioms , Propositions ,

**Theorems**... proposed to be demonstrated , or to something required to be done ; and is accordingly either a**Theorem**or a Problem . Page 2

answers . a The sum of the three angles of a plane triangle is equal to two right angles , that is a

answers . a The sum of the three angles of a plane triangle is equal to two right angles , that is a

**Theorem**, the truth of which is demonstrated by Geometry . A set or collection of such**Theorems**constitutes a Theory . 8. Page 76

The most useful part of arithmetical proportion is contained in the following

The most useful part of arithmetical proportion is contained in the following

**theorems**:**THEOREM**1. When four quantities are in arithmetical proportion , the sum of the two extremes is equal to the sum of the two means .### What people are saying - Write a review

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A Course of Mathematics: Composed for the Use of the Royal Military Academy Charles Hutton No preview available - 2015 |

### Common terms and phrases

added algebraic angle answer applied arithmetical base called centre circle coefficients common compound contained continued cube decimal denominator denote describe diameter difference distance divided division divisor double draw drawn equal equation EXAMPLES expression extremes factors figure former four fraction functions give given greater half hence interest intersection join latter length less manner means measure meeting method Multiply obtained operation opposite parallel parallelogram perpendicular plane position principal PROBLEM proportional quantity question quotient radius ratio rectangle Reduce remainder respectively result right angles root rule sides signs simple solution square subtract successive supposing taken THEOREM third triangle Whence whole yards