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" From eight times the chord of half the arc, subtract the chord of the whole arc, and divide the remainder by 3, and the quotient will be the length of the arc, nearly. "
Ticknor's Mensuration, Or, Square and Triangle: Being a Practical and ... - Page 68
by Almon Ticknor - 1849 - 144 pages
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A Treatise on Mensuration for the Use of Schools

Commissioners of National Education in Ireland - Measurement - 1837 - 290 pages
...given arc, and that product by -01745329, and the last product will be the length of the arc.* RULE II. From eight times the chord of half the arc, subtract the chord of the whole arc, one-third of the remainder will give the length of the arc, nearly.f 1. If the arc AB contain 30 degrees,...
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First Lessons in Geometry: With Practical Applications in Mensuration, and ...

Charles Davies - Geometrical drawing - 1840 - 262 pages
...arc of a circle when the chord and radius are given. RULE. 1st. Find the chord of half the arc. 2d. From eight times the chord of half the arc, subtract...the quotient will be the length of the arc, nearly. Q.tiEsT. — 21. If the arc contains minutes, what do you do 1 22. How do you find the length of the...
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First Lessons in Geometry: With Practical Applications in Mensuration, and ...

Charles Davies - Geometrical drawing - 1840 - 264 pages
...a circle when the chord and radius are given. RULE. 1st. Find the chord of half the arc. 2d. Fi-om eight times the chord of half the arc, subtract the...the quotient will be the length of the arc, nearly. ' PART III. SECTION I. Mensuration of Surfaces. EXAMPLES. 1. The chord .45 = 30 feet, and the radius...
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Crocker's Elements of land surveying. To which are added, Tables of six ...

Abraham Crocker - 1841 - 486 pages
...sector. * The length of the arc of the sector may be found nearly, by the following rule ; viz. from 8 times the chord of half the arc subtract the chord of the whole arc, divide the remainder by 3, and the quotient will be the length of the arc, viz. 8 Ap~ AB 3 APB. Or,...
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An Encyclopædia of Architecture: Historical, Theoretical, and Practical

Joseph Gwilt - Architects - 1842 - 1114 pages
...degrees, the radius being 9 feet. Here -01745 x 30 x 9 = 4-7115, the length of the arc. Rule 2. From 8 times the chord of half the arc subtract the chord of the whole arc, and one third of the remainder will be the length of the arc nearly. Example. Required the length of an...
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A Practical System of Mensuration of Superficies and Solids ...

J. M. Scribner - Measurement - 1844 - 130 pages
...given, in which case the length of the arc may be found by the following approximating Rule. — From 8 times the chord of half the arc, subtract the chord of the whole arc, and -]- of the remainder will be the length of the arc, nearly. Ex. 1. What is the length of an arc whose...
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The operative mechanic's workshop companion, and the scientific gentleman's ...

William Templeton (engineer.) - 1845 - 210 pages
...2+l-252=5185-5625,and ^£1^^ = 2074-225 ft. theradius. X — To find the length of any given arc of a circle. Rule. — From eight times the chord of half the arc, subtract the chord of the whole arc, and onethird of the remainder is equal the length of the arc. Required the length of the arc ABC, the chord...
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Watson's Tutor's assistant; or, Complete school arithmetic

William Watson (of Beverley.) - 1845 - 188 pages
...product. MENSURATION OF SURFACES. PROBLEM 1.— To find the length of any arc of a circle. RULE 1 . — From eight times the chord of half the arc subtract the chord of the wlwle arc, and \ of the remainder will be the length of the arc nearly. RULE 2.— Multiply the number...
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A treatise on the principal mathematical drawing instruments employed by the ...

Frederick Walter Simms - 1845 - 184 pages
...product by 4 ; the result will be the area. To find the length of any arc of a circle. Rule. — From 8 times the chord of half the arc, subtract the chord of the whole arc ; one third of the remainder will be the length of the arc, nearly. To find the area of a sector of...
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Elements of Drawing and Mensuration Applied to the Mechanic Arts: A Book for ...

Charles Davies - Geometrical drawing - 1846 - 254 pages
...the arc of a circle when the chord and radius are given ? 1st. Find the chord of half the arc. 2d. From eight times the chord of half the arc, subtract...the quotient will be the length of the arc, nearly. EXAMPLES. 1. The chord AB = 30 feet, and the radius AC = 20 feet: what is the length of the arc ADB...
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