| George Washington Hull - Geometry - 1807 - 398 pages
...obtained only approximately. For practical purposes 3.1410 is used. PROPOSITION XI. THEOREM. 343. Tfie **area of a circle is equal to half the product of its** circumference by its radius. Given — S the area, C the circumference, and R the radius of a circle.... | |
| Joseph Gwilt - Architects - 1842 - 1089 pages
...These three surfaces added together will give the whole surface of the figure ABCDFA. 933. PROP. LVI. **The area of a circle is equal to half the product of its radius** and circumference. A If the radius of the circle С (fig. 289.) be multiplied by Fig. 288. its circumference,... | |
| CHARLES DAVIS, L.L. D. - 1850
...hence, the area of the polygon will be equal to half the product of CD by the perimeter. THEOREM XXVII. **The area of a circle is equal to half the product of** the radius by the circumference. Let C be the centre of a circle : then will its area be equal to half... | |
| Charles Davies - Geometry - 1886 - 324 pages
...hence, the area of the polygon will be equal to half the product of CD by the perimeter THEOREM XXV11. **The area of a circle is equal to half the product of** the radius by the c1rcumference. Let C be the centre of a circle : then will its area be equal to half... | |
| GEORGE R. PERKINS - 1856
...degree of approximation as may be desired. MEASURE OF THE CIRCLE AND OF ITS CIRCUMFERENCE. THEOREM XIII. **The area of a circle is equal to half the product of** the circumference into its radius. In effect, let us consider a series of regular circumscribed polygons,... | |
| George Roberts Perkins - Geometry - 1860 - 443 pages
...of approximation as may be desired. MEASURE OF THE CIRCLE AND OF ITS CIRCUMFERENCE. k THEOREM XHI. **The area of a circle is equal to half the product of** the circumference into its radius. In effect, let us consider a series of regular circumscribed polygons,... | |
| CHARLES DAVIES, LL.D. - 1863
...increasing the number of sides, a still closer approximation may be had. PROPOSITION XIV. THEOEEM. **The area of a circle is equal to half the product of its** circumference and radius. Let 0 be the centre of a circle, 00 its radius, and A CDE its circumference... | |
| James Robert Christie - Mathematics - 1866 - 404 pages
...the area of the triangle in which 6 = 124 feet, с = 16l-* feet, and A = 71° 12'. 8. Assuming that **the area of a circle is equal to half the product of** the radius and circumference, it is required to deduce the particular form, (1) in terms of the radius,... | |
| William Chauvenet - Geometry - 1871 - 368 pages
...approximately. The letter ic, however, is used to symbolize its exact value. PROPOSITION XVI.— THEOREM. 42. **The area of a circle is equal to half the product of its** circumference by its radius. Let the area of any regular polygon circumscribed about the circle be... | |
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