A Practical System of Mensuration of Superficies and Solids ... |
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Page 16
... cube or third power of 4 is required ; as , 4x4x4-64 . Prefixed to any number , signifies that the square root of that number is required ; as , 9-3 . Prefixed to any number , signifies that the cube root of that number is re- quired ...
... cube or third power of 4 is required ; as , 4x4x4-64 . Prefixed to any number , signifies that the square root of that number is required ; as , 9-3 . Prefixed to any number , signifies that the cube root of that number is re- quired ...
Page 65
... cubic feet , & c . D A B That is , the contents of any parallelopiped is found by multiplying the area of the base by the altitude of that solid . the solid contents of a cubic body be given , the be found by extracting the cube root of ...
... cubic feet , & c . D A B That is , the contents of any parallelopiped is found by multiplying the area of the base by the altitude of that solid . the solid contents of a cubic body be given , the be found by extracting the cube root of ...
Page 70
... cube whose lin . ear edge is equal to a side of the triangular base , and contains 249.413 cubic inches . This is a ... root of their product , and this sum , multiplied by of the perpendicular height , will give the solid contents ...
... cube whose lin . ear edge is equal to a side of the triangular base , and contains 249.413 cubic inches . This is a ... root of their product , and this sum , multiplied by of the perpendicular height , will give the solid contents ...
Page 90
... cube root of the quotient . Ex . 1. What is the diameter of a sphere whose solidity is 4.188.8000 . In this case we divide the solidity by .5236 , and extract the cube root of the quo- tient for the diameter ; and so the diameter of any ...
... cube root of the quotient . Ex . 1. What is the diameter of a sphere whose solidity is 4.188.8000 . In this case we divide the solidity by .5236 , and extract the cube root of the quo- tient for the diameter ; and so the diameter of any ...
Page 110
J. M. Scribner. Number . Square . Cube . Number . Square . Cube 901 811801 731432701 951 904401 860085351 902 813604 733870808 952 906304 862801408 903 815409 736314327 953 908209 865523177 ... Root . Cube Root . Number . 110 MENSURATION .
J. M. Scribner. Number . Square . Cube . Number . Square . Cube 901 811801 731432701 951 904401 860085351 902 813604 733870808 952 906304 862801408 903 815409 736314327 953 908209 865523177 ... Root . Cube Root . Number . 110 MENSURATION .
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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.