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

### From inside the book

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64-67 67 69 70 71 72 a To find the Solidity of a Prism , To find the Surface of a Pyramid , To find the Solidity of a Pyramid , To find the Surface of the

64-67 67 69 70 71 72 a To find the Solidity of a Prism , To find the Surface of a Pyramid , To find the Solidity of a Pyramid , To find the Surface of the

**Frustrum**of a Pyramid , To find the Solidity of the Wedge ,. Page 58

To find the area of a

To find the area of a

**Frustrum**of a Parabola , cut off by a line drawn parallel to the base . Art . 34. Rule . - Multiply the difference of the cubes of the two ends of the**frustrum**by twice its altitude , and divide the product by ... Page 62

A

A

**Frustrum**or Trunk of a pyramid is a portion of the solid that remains after any part has been cut off parallel to the base . The height of the**frustrum**is a line drawn through the centre of the pyramid from the centres of the two ... Page 68

To find the Lateral Surface of the

To find the Lateral Surface of the

**Frustrum**of a regular Pyramid . ART . 41. Rule . — Multiply the perimeters of the two ends by the slant height of the**frustrum**, and half the product will be the surface required . Page 69

How many square feet are there in the lateral surface of the

How many square feet are there in the lateral surface of the

**frustrum**of a square pyramid , whose slant height is 10 feet , each side of the lower base 3 feet 4 inches , and each side of the upper base 2 feet 2 inches ? Ans . 110 .### 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.