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

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Page 2

answers . a The sum of the three angles of a plane

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 289

When the progression is 1 + 2 + 3 + 4 + ... n , a

When the progression is 1 + 2 + 3 + 4 + ... n , a

**triangle**of that number of balls n in each side may be formed of the sum of the series : when it is 1. + 3 + 5 +7 ... ( 2n — 1 ) , then a square of the side n may be formed : when 1 + 4 ... Page 292

A figure of three sides ( and consequently three angles ) is called a

A figure of three sides ( and consequently three angles ) is called a

**triangle**: and it receives particular denominations from the relations of its sides and angles . When defined according to its sides , it is equilateral , isosceles ... Page 293

A scalene

A scalene

**triangle**is that whose three sides are all unequal . When defined according to ... A right - angled**triangle**is that which has one right angle . All other**triangles**are oblique - angled , and are either obtuse or acute . 34. Page 296

In the two

In the two

**triangles**ABC , DEF , if the side AC be equal to the side DF , and the side BC equal to the side EF ... For conceive the**triangle**ABC to be applied to , or placed on , the**triangle**DEF , in such a manner that the point C may ...### 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