## A Practical System of Mensuration of Superficies and Solids ... |

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Page ix

Area of a Parallelogram , Area of a

Area of a Parallelogram , Area of a

**Triangle**, .. Properties of a Right - angled**Triangle**, Area of the Trapezium ,. Area of the Trapezoid , . Area of a regular Polygon ,. Area of Irregular Figures , OF THE CIRCLE AND ITS PARTS ... Page xv

Dollar Half Dollar Quarter Dollar French crown at one dollar 17 7 8 16 4 4 18 17 } EXPLANATION OF CHARACTERS USED IN THIS WORK . . 9. eighteen cents Note . - In a right angled

Dollar Half Dollar Quarter Dollar French crown at one dollar 17 7 8 16 4 4 18 17 } EXPLANATION OF CHARACTERS USED IN THIS WORK . . 9. eighteen cents Note . - In a right angled

**triangle**the longest WEIGHTS AND MEASURES . XV. Page 20

A figure of three sides and angles is called a

A figure of three sides and angles is called a

**Triangle**, and receives particular denominations from the relations of its sides and angles . õ C 1. An equilateral**triangle**is that whose three sides are equal ; as , ABC , ( fig . 7. ) ... Page 26

To find the area of a

To find the area of a

**Triangle**. A RT.6 . Rule .-- Multiply the length of one of the sides by the perpendicular falling upon it , and half the product will be the area . Or multiply half the side by the perpendicular . Page 27

C B a The truth of this rule is evident , because any

C B a The truth of this rule is evident , because any

**triangle**is half of a parallelogram of the same base and altitude . Thus , the area of the right D angled**triangle**ABC , contains precisely half as much surface as would be contained ...### What people are saying - Write a review

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A Practical System of Mensuration of Superficies and Solids: Designed ... J. M. Scribner No preview available - 2017 |

A Practical System of Mensuration of Superficies and Solids J. M. Scribner No preview available - 2022 |

A Practical System of Mensuration of Superficies and Solids: Designed ... J. M. Scribner No preview available - 2017 |

### Common terms and phrases

12 feet 12 inches 20 feet 9 feet ABCD altitude axes axis base body breadth bushel called capacity centre chord circle whose diameter circular circumfer circumference circumscribed cone contained contents convex surface Cube Root cubic inches cylinder cylindrical ring decimal difference divide edge ellipse ends entire surface equal equilateral EXAMPLE feet 6 inches feet long figure find the area find the Solidity foot frustrum gallon give given greater half Hence hexagon inner diameter land lateral surface length less linear mathematics measure miles multiply nearly Note number of sides number of square obtained OPERATION parallelogram pentagonal perimeter perpendicular plane polygon pounds prism PROBLEM pyramid quarters radius regular Required the area right angled Rule Rule.—Multiply sector segment sides similar slant height sphere square feet square root thickness triangle triangular upper wedge whole wide yards zone

### Popular passages

Page 53 - RULE. Find the area of the sector which has the same arc, and also the area of the triangle formed by the chord of the segment and the radii of the sector. Then...

Page 35 - Now, since the areas of similar polygons are to each other as the squares of their homologous sides...

Page 79 - A sphere is a solid terminated by a curved surface, all the points of which are equally distant from a point within called the centre.

Page 80 - A zone is a portion of the surface of a sphere included between two parallel planes.

Page 90 - ... to three times the square of the radius of the segment's base, add the square of its height ; then multiply the sum by the height, and the product by .5236 for the contents.

Page 49 - From 8 times the chord of half the arc subtract the chord of the whole arc, and ' of the remainder will be the length of the arc nearly.

Page 72 - RULE.* To the sum of the areas of the two ends add four times the area of a section parallel to and equally distant from both ends, and this last sum multiplied by £ of the height will give the solidity.

Page 51 - As 360 degrees is to the number of degrees in the arc of the sector, so is the area of the circle to the area of the sector.

Page 91 - From three times the diameter of the sphere subtract twice the height of the segment; multiply this remainder by the square of the height and the product by 0.5236.

Page 39 - A Circle is a plane figure bounded by a curve line, called the Circumference, which is everywhere equidistant from a certain point within, called its Centre.