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

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Page 63

The denomination which occupies the place of inches in these products , means not square inches , but

The denomination which occupies the place of inches in these products , means not square inches , but

**rectangles**of an inch broad and a foot long . Thus , ; 9 the answer to the first example is 29 DUODECIMALS . 63. Page 122

From the principle that the

From the principle that the

**rectangle**of the sum and difference of two quantities is equal to the difference of their squares , some useful theorems obviously flow : viz . 1. a 2 - 62 = ( a + b ) ( a - b ) . Page 132

If the term

If the term

**rectangle**of two lines , in the first ten propositions of the second book of Euclid , be exchanged for the term product of two numbers , and square on a line for the square of a number ; show that the propositions thus ... Page 293

And it takes the following particular names , viz .

And it takes the following particular names , viz .

**rectangle**, square , rhombus , rhomboid . 38. A**rectangle**is a parallelogram , having a right angle . 39. A square is an equilateral**rectangle**; having its length and breadth equal ... Page 305

Hence , if one angle of a parallelogram be a right angle , all the other three will also be right angles , and the parallelogram a

Hence , if one angle of a parallelogram be a right angle , all the other three will also be right angles , and the parallelogram a

**rectangle**. Cor . 2. Hence also , the sum of any two adjacent angles of a parallelogram is equal to two ...### 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