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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 Encyclopædia of Architecture: Historical, Theoretical, and Practical - Seite 375
von Joseph Gwilt - 1842 - 1089 Seiten
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Tables and Tracts, Relative to Several Arts and Sciences

James Ferguson - 1767 - 356 Seiten
...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 ..., Band 2

1801 - 658 Seiten
...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 - 1807 - 464 Seiten
...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 - 1811 - 442 Seiten
...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 ..., Band 10

1816 - 764 Seiten
...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 ..., Band 10

Encyclopaedia Perthensis - 1816 - 772 Seiten
...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 Seiten
...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 - 1822 - 616 Seiten
...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 - 1824 - 476 Seiten
...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 - 1824 - 132 Seiten
...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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