A Practical System of Mensuration of Superficies and Solids ... |
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Page 35
To facilitate the measurement of polygons , the following Table is constructed , showing the Multipliers of the ten regular polygons , when the sides of each is equal to 1 : it also shows the length of the Radius of the inscribed circle ...
To facilitate the measurement of polygons , the following Table is constructed , showing the Multipliers of the ten regular polygons , when the sides of each is equal to 1 : it also shows the length of the Radius of the inscribed circle ...
Page 39
A Radius or Semi - Diameter is a straight line , extending from the centre to the circumference ; as CA or CD ( fig . 1. ) . 4. A Semi - circle is one half of the circumference ; as ADB ( fig . 1. ) B 2 5. A Quadrant is one quarter of ...
A Radius or Semi - Diameter is a straight line , extending from the centre to the circumference ; as CA or CD ( fig . 1. ) . 4. A Semi - circle is one half of the circumference ; as ADB ( fig . 1. ) B 2 5. A Quadrant is one quarter of ...
Page 48
To find the length of an Arc of a Circle , when the number of degrees which it contains and the Radius are known . Art . 23. Rule I. — Multiply the number of degrees in the arc by the decimal .01745 , and that product by the radius of ...
To find the length of an Arc of a Circle , when the number of degrees which it contains and the Radius are known . Art . 23. Rule I. — Multiply the number of degrees in the arc by the decimal .01745 , and that product by the radius of ...
Page 49
What is the length of an arc of 20 degrees , in a circle whose radius is 45 feet ? STATEMENT BY RULE II . As 3 : 20 : : .05236x45 : 15.708 , Ans . Ex . 3. What is the length of an arc containing 15 degrees and 15 minutes , the diameter ...
What is the length of an arc of 20 degrees , in a circle whose radius is 45 feet ? STATEMENT BY RULE II . As 3 : 20 : : .05236x45 : 15.708 , Ans . Ex . 3. What is the length of an arc containing 15 degrees and 15 minutes , the diameter ...
Page 51
Multiply the length of the arc thus found , by half the length of the radius , and the product will be the area . Or , 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 ...
Multiply the length of the arc thus found , by half the length of the radius , and the product will be the area . Or , 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 ...
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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 |