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

### From inside the book

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Page 62

... height of the pyramid ; as , DE . The

... height of the pyramid ; as , DE . The

**slant height**of a pyramid is a line drawn from the vertex to the middle of one of the sides of the base . A pyramid , like the prism , takes particular names from the figure of the base , according ... Page 67

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**slant height**, and half the product will be the surface . If the whole surface be required , add to this the area of the base . Ex . 1. What is the lateral surface of a regu- lar triangular pyramid whose**slant height**is 20 feet , and ... Page 68

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**slant height**is 15 feet , and whose base is a regular pentagon , each side of which is 25 feet ? Ans . 2012.798 sq . ft . Ex . 3. Required the convex surface , and also the entire surface , of a regular pentagonal pyramid , whose slant ... Page 69

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**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 . Ex . 3. If the**slant height**of the frustrum of a hexagonal pyramid be 48 , each side of the lower base ... Page 74

... height is 16 feet , and the sides of whose base are each 3 feet 6 inches ? Ans . 4. What is the lateral surface of a triangular pyramid whose

... height is 16 feet , and the sides of whose base are each 3 feet 6 inches ? Ans . 4. What is the lateral surface of a triangular pyramid whose

**slant height**is 24 feet , and each side of whose base is 4 feet ? Ans . 5. If the height of a ...### 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 18 inches 20 feet 9 feet ABCD ABFD assumed cube avoirdupois axis base 26 breadth centre chord circle whose diameter Circular Sector circular segment circumfer circumference circumscribed contained convex surface Cube Root cubic feet 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 length miles multiply the sum Nonagon number of degrees number of sides number of square OPERATION parabola parallel sides parallelogram pentagonal pyramid perpendicular distance perpendicular height plane prism PROBLEM radius regular pentagonal regular Polygon Required the area Required the solidity rhombus right angled triangle Rule Rule.-I slant height solid contents sphere spherical segment spheroid square feet square rods square root square yards thickness 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.