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" When the quotient arising from the versed sine divided by the diameter, has a remainder or fraction after the third place of decimals ; having taken the area... "
An Introduction to Mensuration and Practical Geometry - Page 78
by John Bonnycastle - 1835 - 288 pages
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The instructor: or, Young man's best companion. To which is added. The ...

George Fisher (accountant.) - 1811 - 302 pages
...To find the Area ofa given Diameter. Rule. Multiply the Number 0,7853982 (or in common cases 0,7854) by the Square of the Diameter, and the Product will be the Area. Ex. \Vhat is the Area of that Circle whose Diameter !s 11 Inches? 11 tiA;es 11 is 121 0,7854 121 7854...
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The complete measurer: or, The whole art of measuring, containing the ...

Thomas Keith - 1817 - 306 pages
...decimals. Find the quotient in the column height, and take out the corresponding area seg. which multiply by the square of the diameter, and the product will be the area of the segment required. Note. If the quotient of the height by the diameter be greater than '5, subtract...
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A Treatise on Practical Gauging

Anthony Nesbit, W. Little - Measurement - 1822 - 916 pages
...versfl sines, in the Table at the end of Part IV. Take out the corresponding Area Seg. which raultip'j by the square of the diameter, and the product will be the area of the segment in square inches. Divide the area thus obtained by 282, 231, and 2150.42, and the respective...
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A Treatise on Practical Mensuration in Eight Parts ...

Anthony Nesbit - Surveying - 1824 - 476 pages
...versed sines, in the Table at the end of Part If. Take out the corresponding Area Seg. 'which multiply by the square of the diameter, and the product will be the area of the segment. tKided to me nrst ATWI se:f. This method ought to ln- used when accuracy is required...
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A Concise System of Mathematics ...

Alexander Ingram - Mathematics - 1830 - 458 pages
...versed sines, and take out the number on the right hand of it in the column of areas, and multiply it by the square of the diameter, and the product will be the area of the segment. NOTE. If the height be greater than the radius, subtract it from the diameter to get...
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A Complete System of Mensuration of Superficies and Solids, of All Regular ...

Tobias Ostrander - Measurement - 1833 - 172 pages
...2.—Divide the height or versed sine by the diameter, and find the quotient in the table of versed sines ; multiply the number on the right hand of the versed...of the diameter, and the product will be the area of the segment. Note. — When the quotient arising from the versed sine, divided by the diameter,...
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A Complete System of Mensuration of Superficies and Solids, of All Regular ...

Tobias Ostrander - Measurement - 1834 - 182 pages
...Divide the height or versed sine by the diameter, and find the quotient in the table of versed sines ; multiply, the number on the .right hand of the versed sine by the square of the diameter, and the duct will be the area of the segment. Note. — When the quotient arising from the versed sine, divided...
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A Treatise on Mensuration for the Use of Schools

Commissioners of National Education in Ireland - Measurement - 1837 - 290 pages
...end of the practical part of this treatise, and take out the corresponding Area Seg. which multiply by the square of the diameter, and the product will be the area of the segment required.* Note I. If the quotient of the height by the diameter be greater than -5...
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A system of practical mathematics; being no.xvi. of a new series of school-books

Scottish school-book assoc - 1845 - 444 pages
...PROBLEM IX. To find the area of a circle. RULE II. Multiply 3-1416 by the square of the radius, or '7854 by the square of the diameter, and the product will be the area. RULE III. Multiply -0795775 by the square of the circumference, the product will be the area. DEMONSTRATION....
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An Introduction to Mensuration and Practical Geometry

John Bonnycastle - Geometry - 1848 - 320 pages
...area of a segment whose arc is a quad rant, the diameter of the circle being 18 feet ? Ans. 23.1174. 6.* What is the area of a segment, whose arc contains...after the third place of decimals; having taken the area * The chord of the arc will evidently be equal to the radius of the circle. t The table to which...
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