| Samuel Webber - Mathematics - 1808 - 466 pages
...circumference and diameter. RULE 2.f Multiply the square of the diameter by '7854. * DEM0NSTRATI0N. A **circle may be considered as a regular polygon of an infinite number of sides, the** circumference being equal to the perimeter, and the radius to the perpendicular. But the area of a... | |
| Anthony Nesbit - Surveying - 1824 - 476 pages
...the area of a circle b« divided by .7s3*, the quotient will be the square of the diameter. ^ * 2. A **circle may be considered as a regular polygon of an infinite number of sides, the perimeter of** which being equal to the circumference, and the perpendicular equal to the radius ; consequently, bv... | |
| John Bonnycastle - Geometry - 1829 - 256 pages
...Multiply half the circumference by half the diameter, and the product will be the area. * Demon. A **circle may be considered as a regular polygon of an infinite number of sides, the** circumference being equal to the perimeter, and the radius to the perpendicular. But the area of a... | |
| American Institute of Instruction - Education - 1835 - 318 pages
...the several parts of the demonstration. Now, if according to the method of indivisibles, the circle **be considered as a regular polygon of an infinite number of sides, the** truth would flash at once upon a mature mind, but to a youth, it would not seem rigidly proved. The... | |
| John Bonnycastle - Geometry - 1848 - 320 pages
...the circumference by half the diameter, and the product will be the area. * Demon. A circle may lx- **considered as a regular polygon of an infinite number of sides, the** circumference being equal to the perimeter, and the radius to the perpendicular. But the area of a... | |
| Daniel Adams - Arithmetic - 1849 - 142 pages
...remaining part of the circle contains 342° ; what is the diameter of the circle ? Ans. 29 ft. 7 in. 5T 62, **To find the area of a circle. ANALYSIS. Any circle...multiplying the perpendicular by one half the perimeter,** (If 53, rule,) the area of a circle may be found by applying the same principles. Hence, To find the... | |
| Anthony Nesbit - Measurement - 1859 - 494 pages
...If the area of a circle be divided by .7854, the quotient will be the square of the diameter. 2. A **circle may be considered as a regular polygon of an infinite number of sides, the perimeter of** which being equal to the circumference, and the perpendicular equal to the radius : consequently by... | |
| Ward, Lock and co, ltd - 1884 - 570 pages
...a circle is equal to the circumference multiplied by the half of the radius ; for the circumference **may be considered as a regular polygon, of an infinite number of sides** ; it is then the perimeter of the circle which, multiplied by the half of the radius, will give its... | |
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