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

H. & J. C. Ivison, 1844 - 123 σελίδες

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