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

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Page 65

Wemerely multiply the length , height , and

Wemerely multiply the length , height , and

**thickness**together , to find the solidity . 28 _length . 12 –height . 336 31 -**thickness**. 908 112 1020 = solidity . 5 Ex . 2. What is the solidity of a regular OF SOLIDS . 65. Page 74

What must be paid for lining a rectangular cistern with lead , a 2d a pound , the

What must be paid for lining a rectangular cistern with lead , a 2d a pound , the

**thickness**of the lead being such as to require 7 lbs . for each square foot of surface , the inner dimensions of the cistern being as follows ; viz : the ... Page 93

To the

To the

**thickness**of the ring , add the inner diameter ; then multiply this sum by the**thickness**, and the product by 9.8696 ( which is the square of 3.1416 ) and it will give the convex surface required . Ex . 1. The**thickness**Ac of a ... Page 94

First , 3 + 8 = 11 9 = sq . of

First , 3 + 8 = 11 9 = sq . of

**thickness**. 99x2.4674 = 244.2726 = solidity in inches . Ex . 2. The inner diameter of a cylindrical ring , is 14 inches , and the**thickness**in metal 4 inches , what is the solidity of the ring ? Page 95

What is the solidity of a cylindrical ring whose

What is the solidity of a cylindrical ring whose

**thickness**is 8 inches , and inner diameter 19 inches ? Ans . 11. What is the solidity of a prolate spheroid , whose axes are 55 and 33 ? Ans . 31361.022 . 12. What is the solidity of an ...### What people are saying - Write a review

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### Other editions - View all

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.