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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. "
Cyclopedia of Architecture: Historical, Descriptive, Typographical ... - Page 286
by Robert Stuart - 1854
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The Edinburgh encyclopaedia, conducted by D. Brewster, Volume 14

Edinburgh encyclopaedia - 1830
...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, so is the area of the whole circle to the area of the sector. The first of these rules is contained in the last...
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A treatise on practical geometry, mensuration, conic sections, gauging, and ...

Ireland commissioners of nat. educ - 1834
...length of the arc by thé radius of the circle, and the product is the area of the sector, f RULE П. As 360 is to the de'grees in the arc of the sector, so is the area of the whole circle to the area of the sector, i 1 . Let A С B О be a sector less than a semi-circle,...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1836 - 359 pages
...V. Prop. XII. Cer. 1). RULE II. — Compute the area of the whole circle : then say, as 360 degrees is to the degrees in the arc of the sector, so is the area of the whole circle to the area of the sector. 1. To find the area of a circular sector whose...
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A Treatise on Mensuration for the Use of Schools

Commissioners of National Education in Ireland - Measurement - 1837 - 262 pages
...length of the arc by the radiusof the circle, and the product is the area of the sector, f RULE II. 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 4 1. Let ACBO be a sector less than a semicircle...
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A Treatise on Mensuration for the Use of Schools

Commissioners of National Education in Ireland - Measurement - 1837 - 262 pages
...length of the arc by the radius of the circle, and the product is the area of the sector, f RULE II. As 360 is to the degrees in the arc of the sector, go is the area of the whole circle to the area of the sector 4 1. Let ACBO be a sector less than a...
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An Encyclopædia of Architecture: Historical, Theoretical, and Practical

Joseph Gwilt - Architects - 1842 - 1089 pages
...take J of the product. This rule is founded on the same basis as that to Problem IX. Rule 2. As 36O is to the degrees in the arc of the sector, so is the area of the whole circle to the area of the sector. This is manifest, because it is proportional to...
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Engineers' and Mechanics' Pocket-book ...

Charles Haynes Haswell - Engineering - 1844 - 264 pages
...fig. 13. RULE 1. — Multiply the length of the arc adb by half the length of the radius a a. RDLE 2. — As 360 is to the degrees in the arc of the sector, so is the area of the circle to the area of the sector. NOTE. — If the diameter or radius is not given, add...
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Elementary Course of Geometry ...

Charles William Hackley - Geometry - 1847 - 103 pages
...bears the same proportion to the whole circle that its arc does to the whole circumference. RULE II. 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. This is evident, because the sector is proportional...
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Elements of Geometry and Trigonometry Translated from the French of A.M ...

Charles Davies - Trigonometry - 1849 - 359 pages
...(Book V. Prop. XII. Cor. 1). RULE II.—Compute the area of the whole circle: then say, as 360 degrees is to the degrees in the arc of the sector, so is the area of the whole circle to the area of the sector. 1. To find the area of a circular sector whose...
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Engineers' and Mechanics' Pocket-book ...

Charles Haynes Haswell - Engineering - 1851 - 286 pages
...— -fig. 13. RULB 1. — Multiply the length of the arc adb by half the length of the radius a o. RULE 2. — As 360 is to the degrees in the arc of the sector, so is the area of the circle to the area of the sector. NOTE. — If the diameter or radius is not given, add...
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