 | James Ferguson - 1767 - 328 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 - Mathematics - 1807
...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, Olinthus Gregory - 1811
...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... | |
 | Reference - 1816
...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... | |
![Encyclopaedia Perthensis; or, Universal dictionary of Knowledge. [With] Supp](http://bks0.books.google.com/books?id=AizOj3GPQkAC&printsec=frontcover&img=1&zoom=5&edge=curl "Encyclopaedia Perthensis; or, Universal dictionary of Knowledge. [With] Supp") | Encyclopaedia Perthensis - 1816
...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... | |
 | Thomas Keith, William Hawney - 1817
...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, Robert Adrain - Study Aids - 1822
...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... | |
 | Robert Brunton - 1824
...between the areas of the two circles for the area of the ring. PROBLEM XI. To find the area of the Sector of a Circle. — See Fig. 10. RULE 1. Multiply...area of the whole circle, to the area of the sector. PROBLEM XII. To Jind the area of a Segment of a Circle.— See Fig. 1 1. Problem. Find also the area... | |
 | Anthony Nesbit - 1824 - 434 pages
...sector being 72 feet, the chord of half the arc 45 feet, and the radius 37 feet 6 inches? 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. Not» I. The area of a semicircle, a quadrant, &,e. may be most easily found by taking one halt, one... | |
 | George Curtis - Mathematics - 1824 - 119 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... | |
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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. 
