## 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 293

A

A

**parallelogram**is a quadrilateral which has both its pairs of opposite sides parallel . And it takes the following particular names , viz . rectangle , square , rhombus , rhomboid . 38. A rectangle is a**parallelogram**, having a right ... Page 305

D B The opposite sides and angles of any

D B The opposite sides and angles of any

**parallelogram**are equal to each other ; and the diagonal divides it into two equal triangles . Let ABCD be a**parallelogram**, of which the diagonal is BD ; then will its opposite sides and angles ... Page 306

D

D

**Parallelograms**, as also triangles , standing on the same base , and between the same parallels , are equal to each ... will the**parallelogram**ABCD be equal to the**parallelogram**ABEF , and the triangle ABC equal to the triangle ABF . Page 307

A triangle is equal to half a

A triangle is equal to half a

**parallelogram**of the same base and altitude , because the altitude is the perpendicular distance between the parallels , which is every where equal , by the definition of parallels . Cor . 2. Page 308

Now , since triangles , or

Now , since triangles , or

**parallelograms**, of equal bases and altitude , are equal ( cor . 2 , th . 25 ) , the**parallelogram**DG is equal to the**parallelogram**HE , and the triangle CGB is equal to the triangle CHB ; consequently the ...### 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