A Practical System of Mensuration of Superficies and Solids ... |
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Page 63
A Wedge is a solid of five sides , two of which are rhomboidal , and meet in an edge , a rectangular base , and two triangular ends . The height of the wedge is the perpendicular distance between the edge and the plane of the base . 7.
A Wedge is a solid of five sides , two of which are rhomboidal , and meet in an edge , a rectangular base , and two triangular ends . The height of the wedge is the perpendicular distance between the edge and the plane of the base . 7.
Page 65
... if the solid contents of a cubic vody be given , the length of the edges may be found by extracting the cube root of the given solid . Ex . 1. What is the solidity of a wall 28 feet long , 12 feet high , and 3 feet 4 inches thick ?
... if the solid contents of a cubic vody be given , the length of the edges may be found by extracting the cube root of the given solid . Ex . 1. What is the solidity of a wall 28 feet long , 12 feet high , and 3 feet 4 inches thick ?
Page 70
1 4 ear edge is equal to a side of the triangular base , and contains 249.413 cubic inches . This is a short method of obtaining the solidity of the pyramid , and is sufficiently accurate for all practical purposes , as may be seen by ...
1 4 ear edge is equal to a side of the triangular base , and contains 249.413 cubic inches . This is a short method of obtaining the solidity of the pyramid , and is sufficiently accurate for all practical purposes , as may be seen by ...
Page 71
a a PROBLEM VII . To find the Solidity of a Wedge . Art . 44. Rule.-I. To the length of the edge of the wedge add twice the length of the base . II . Then multiply this sum by the height of OF SOLIDS . 71.
a a PROBLEM VII . To find the Solidity of a Wedge . Art . 44. Rule.-I. To the length of the edge of the wedge add twice the length of the base . II . Then multiply this sum by the height of OF SOLIDS . 71.
Page 72
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- D cular height 42 feet . A B OPERATION . First , 36 - length of the base . 54 = twice the length of the base .
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- D cular height 42 feet . A B OPERATION . First , 36 - length of the base . 54 = twice the length of the base .
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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.
Bibliographic information
| Title | A Practical System of Mensuration of Superficies and Solids ... |
| Author | J. M. Scribner |
| Publisher | H. & J. C. Ivison, 1844 |
| Original from | the University of Michigan |
| Digitized | 11 Jun 2007 |
| Length | 123 pages |
| Export Citation | BiBTeX EndNote RefMan |