 | James Ferguson - 1767 - 356 pages
...ofthefe&or of a Circle. * * ' ."" .*"• .'/" As 365 degrees is to the degrees in the arc of the fedt^r, fo is the area of the whole circle to the area of the fedior. Or, multiply the length of the radius of the fe&or, by the length of the arc of the circle,... | |
 | Charles Hutton - 1807 - 464 pages
...The reason of which is the same as for the firstTrule to problem 9, for the whole circle. RULE II. Compute the area of the whole circle : then say, as...area of the whole circle, to the area of the sector. This is evident, because the sector is proportional to the length of the arc, or to the degrees contained... | |
 | Charles Hutton - 1811 - 494 pages
...The reason of which is the same as for the first rule to problem 9, for the whole circle. RULE II. Compute the area of the whole circle : then say, as...area of the whole circle, to the area of the sector. This is evident, because the sector is proportional to the length of the arc, or to the degrees contained... | |
 | Encyclopaedia Perthensis - 1816 - 772 pages
...feetor, and take \ of the product. KVI.F, u. As 360 is to the degrees in the arc of the fector, to is the area of the whole circle to the area of the feetor. This is evident, becaufe .the fector U proportional to the length of the arc, or to the degrees... | |
 | 1816 - 764 pages
...the fector, and take J of the product. RULE ii. As 360 is to the degrees in the arc of the fector, fo is the area of the whole circle to the area of the fector. This is evident, becaufe the fector is proportional to the length of the arc, or to the degrees... | |
 | Thomas Keith - 1817 - 306 pages
...the arc by the radius of the circle, and the product is the area of the si'ctor. RUI.F. II. As 36() is to the degrees in the arc of the sector, so is the are* of the whole circle to the area of the sector. Example 1. Let ADBE be the sector of a circle less... | |
 | Charles Hutton - 1822 - 616 pages
...the whole circle. RULE II. Compute the area of the whole circle : then say, as :5"0 is to the decrees in the arc of the sector, so is the area of the whole circle to the area of the sector. This is evident, because the sector is proportional to the length of the arc, or to the. degrees contained... | |
 | Anthony Nesbit - 1824 - 476 pages
...chord of half the arc 45 feet, and the radius 37 feet 6 inches? Ans. 2.617ft. 10 in. 6 pa, RULE II. As 360 is to the degrees in the arc of the sector,...area of the whole circle to the area of the sector. Kate I. The area of a semicircle, a quadrant, 4.c. may be most easily found by taktng one half, one... | |
 | George Curtis - 1824 - 132 pages
...area of the whole circle: Thus, an 360 degrees, is to angle or degrees between the two legs or radii of the sector, so is the area of the whole circle, to the area of the sector. Sector. area. EXAMPLE. As 360° : 288° : : 314,16 : 251,328° the Ang. PROBLEM IV. To find Ike Solidity... | |
 | Edinburgh encyclopaedia - 1830 - 856 pages
...diameter, by half the arc of the sector, and the product will be the area, as in the whole circle. RULE II. As 360° is to the degrees in the arc of the sector,...area of the whole circle to the area of the sector. The first of these rules is contained in the last problem, and the truth of the second is sufficiently... | |
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Compute the area of the whole circle : then say, as 360 is to the degrees in the arc of the sector, so is the area of the whole circle, to the area of the sector. 
