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

### From inside the book

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... Spherical Zone , or Segment , ... 88 To find the Solidity of a Sphere , or Globe , 88 .... To find the Solidity of a

... Spherical Zone , or Segment , ... 88 To find the Solidity of a Sphere , or Globe , 88 .... To find the Solidity of a

**Spherical Segment**, .......... 90 To find the Solidity of a Spheroid , 92 To find the Surface of a Cylindrical Ring ... Page 88

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**spherical segment**or zone is equal to that of the circumscribed cylinder , by Art . 58 , ( Note . ) Ex . 1. If the axis of a sphere , be D 42 inches , what is the convex sur ... Segment, To find the Solidity of a Sphere, or Globe, Page 90

... sphere , 7930 miles diameter ? Ans . 261.107.000.000 . cubic miles . Ex . 3. The diameter of a sphere is 16 ; what ...

... sphere , 7930 miles diameter ? Ans . 261.107.000.000 . cubic miles . Ex . 3. The diameter of a sphere is 16 ; what ...

**Spherical Segment**. ART . 60. Rule . To three times the square of the radius of its base , add the square of its ... Page 91

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**spherical segment**whose height is 6 and the radius of its base 12 ? Ans . 1470.27 . ART . 61. The solidity of a**spherical segment**is fre- quently required when the radius of its base is not given , but if the diameter of the sphere and ... Page 92

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**spherical segment**, whose height is 3 feet , cut from a sphere whose diameter Ans . 226.1952 . is 18 feet ? PROBLEM XI . To find the Solidity of a Spheroid . ART . 62. Rule . Multiply the square of the revolving axis by the fixed axis ...### 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.