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

### From inside the book

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Page 64

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**Required**the lateral surface of a prism whose base is a regular hexagon , and whose sides are each 2 feet 3 inches ...**Solidity**of a Prism . ART . 38. Rule . - Multiply the area of the base by the perpendicular height , and the ... Page 66

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**Required the solidity**of a triangular prism whose altitude is 10 feet , and the three sides of its triangular base 3 , 4 , and 5 feet . Ans . 60 solid ft . ART . 39. The capacity of a vessel in gallons or bushels of any given dimensions ... Page 72

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**Required the solidity**of a wedge whose base AB is 27 feet , BC , 8 feet , and whose edge CE is 36 feet , and the perpendi- cular height 42 feet . OPERATION . D First , 36 - length of the base . C E A B 54 = twice the length of the base ... Page 73

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**Required the solidity**of a stick of hewn timber whose lower end is 30 inches by 27 , and whose upper end is 24 by 18 inches , supposing its height to be 48 feet ? Ans . 204 cubic ft . Ex . 3. What weight of water can be put into a ... Page 74

... solidity ? Ans.- 6. What are the solid contents of a triangular pyramid , whose height is 28 feet , and the sides of whose base are each 4 feet 7 inches ? Ans . 7.

... solidity ? Ans.- 6. What are the solid contents of a triangular pyramid , whose height is 28 feet , and the sides of whose base are each 4 feet 7 inches ? Ans . 7.

**Required the solidity**of a wedge whose base is 4 feet 6 inches long by 2 ...### 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

18 feet 18 inches 20 feet 9 feet ABCD ABFD assumed cube avoirdupois axis base 26 breadth chord circle whose diameter Circular Sector circular segment circumfer circumference circumscribed contained convex surface Cube Root cubic ft cubic inches cylinder cylindrical ring decimal diff divide the product ellipse ends entire surface equal extract the square feet 6 inches feet long find the area find the Solidity frustrum gallon half hypotenuse inner diameter inscribed square lateral surface miles Multiply the diameter Multiply the square multiply the sum Nonagon number of degrees number of sides number of square OPERATION parabola parallel sides parallelogram pentagonal pyramid perimeter perpendicular distance perpendicular height plane prism PROBLEM radius regular Polygon Required the area Required the solidity rhombus right angled triangle Rule Rule.-I Rule.-Multiply slant height solid contents sphere spherical segment spheroid square feet square rods square root square yards trapezium zoid 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.