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

H. & J. C. Ivison, 1844 - 123 sider

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Side 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...
Side 35 - Now, since the areas of similar polygons are to each other as the squares of their homologous sides...
Side 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.
Side 80 - A zone is a portion of the surface of a sphere included between two parallel planes.
Side 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.
Side 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.
Side 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.
Side 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.
Side 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.
Side 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.

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