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" 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. "
An Encyclopędia of Architecture: Historical, Theoretical, and Practical - Page 375
by Joseph Gwilt - 1842 - 1089 pages
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Tables and Tracts, Relative to Several Arts and Sciences

James Ferguson - Astronomy - 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,...
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Mathematics: Compiled from the Best Authors and Intended to be the ..., Volume 2

Mathematics - 1801 - 658 pages
...diameter and arc of the sector. NOTE. The arc may be found by Problem X. •c •"—" • RULE 2.f As 360 is to the degrees in the arc of the sector, so is the whole area of the circle to the area of the sector. . •. '• j' • . • 4 NOTE. For a semicircle,...
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A Course of Mathematics in Two Volumes for the Use of Academies as Well as ...

Charles Hutton - Mathematics - 1807 - 464 pages
...to problem 9, for the whole circle. RULE II. Compute the area of the whole circle : then say, as 360 is to the degrees in the arc of the sector, so is...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 in...
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A Course of Mathematics ...: Composed for the Use of the Royal Military ...

Charles Hutton - Mathematics - 1811 - 442 pages
...to problem 9, for the whole circle. RULE II. Compute the area of the whole circle : then say, as 360 is to the degrees in the arc of the sector, so is...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 in...
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Encyclopaedia Perthensis; Or Universal Dictionary of the Arts ..., Volume 10

Encyclopedias and dictionaries - 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...
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Encyclopaedia Perthensis; or, Universal dictionary of Knowledge ..., Volume 10

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...
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The complete measurer: or, The whole art of measuring, containing the ...

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...
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A Course of Mathematics: For the Use of Academies, as Well as Private ...

Charles Hutton - Mathematics - 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...
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A Treatise on Practical Mensuration in Eight Parts ...

Anthony Nesbit - Surveying - 1824 - 476 pages
...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, so is...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...
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A Treatise on Gunter's Scale, and the Sliding Rule: Together with a ...

George Curtis - Lumber - 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...
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