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Bøker Bok 110 av 80From eight times the chord of half the arc, subtract the chord of the whole arc,...
" 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. "
Elements of Geometry and Trigonometry - Side 234
av C. Davies - 1867
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Mathematics: Compiled from the Best Authors and Intended to be the ..., Volum 2

1801 - 426 sider
...Or 6 : i :: 28,2744 : 4-7124 Or 3 : 30 :: -05236X9 : 4'7^4 36 4-7124 the answer. RULE a.* . From 8 times the chord of half the arc subtract the chord of the whole arc, and ~ of the remainder "-'ill be the length of the arc nearly. 2. The * DEMONSTRATION. Let the radius OD~r,...
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A Treatise on Practical Gauging

Anthony Nesbit, W. Little - 1822 - 533 sider
...French iaticians, to 128. PROBLEM XII. To Jtnd the length of the arc of a circle. RULE I. By the Pen. 8 times the chord of half the arc subtract the chord of the whole ate, and i of the remainder will be the length of the arc, nearly. Note 1. Half the chord of the whole...
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A Treatise on Practical Mensuration in Eight Parts ...

Anthony Nesbit - 1824 - 434 sider
...Bonnycastle's As* 'ronomy, page 277. PROBLEM XIV. To find the length of any arc of a circle. RULE I. 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. Kote. Half the chord of the whole arc,...
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The Operative Mechanic, and British Machinist: Being a Practical ..., Volum 1

John Nicholson - 1825 - 795 sider
...30 Or 6 : 1 : : 282744 : 47124 Or 3 : 30 : : '05236 X 9 : 47124 90 47124 the answer. Rule 2. 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. 2. The chord AB (Prob. 8.) of the whole...
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A Treatise on the New Method of Land Surveying, with the Improved Plan of ...

Thomas Hornby (land surveyor.) - 1827 - 270 sider
...Divide the difference between the chord of the whole arc, and eight times the chord of half the arc, by 3, and the quotient will be the length of the arc nearly,— This is Hutton's 4th Rule. __ __ ., EXAMPLE. By taking again the same numbers as in the...
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The Builder's Practical Guide: Containing a Complete Explanation of the ...

John Nicholson (civil engineer.) - 1830 - 182 sider
...: 30 Or 6 : 1 : : 282744 : 47124 Or 3: 30 : : 105236 x 9:47124 90 47124 the answer. Rule 2. From 8 times the chord of half the arc subtract the chord of the whole arc, and .1 of the remainder will be the length of the arc nearly. Ex. 2. The chord AB (Prob. 8.) of the whole...
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A system of practical arithmetic

Samuel Young (of Manchester.) - 1833
...same square whose diameter is 24. PROBLEM IX. To find the length of a Circular Arc. RULE 1. From 8 times the chord of half the arc subtract the chord of the whole arc, and ^ of the difference will be the length of the arc, nearly. RULE 2. Multiply the number of degrees in...
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Mathematics for Practical Men

Olinthus Gregory - 1833 - 427 sider
...s" = 80 Area of the dodecagon = 4480 : the true area is 4478.46. 3. Length of circular arc. From 8 times the chord of half the arc, subtract the chord of the whole arc, and J of the remainder will be the length of the arc, nearly. Note. — The chord of half the arc is equal...
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The tutor's assistant: being a compendium of practical arithmetic, for the ...

Francis Walkingame - 1833
...5. The area X'6S6G197) Problem 9- Toßnd the length of a circular arc RULE 1. From 8 times Fig. 8. the chord of half the arc subtract the chord of the whole arc, and ¿ of the difference will be the length of the arc, nearly. That is ADx8— AB -т-3=.агс ADB. NOTE....
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A treatise on practical geometry, mensuration, conic sections, gauging, and ...

Ireland commissioners of nat. educ - 1834
...value of this series, let it be assumed =: d V — ; - т ¿' « — « ^ n\f dv, and we get RULE II. From eight times the chord of half the arc, subtract the chord of the whole arc, and it will be found ^)+ -) = V dv d I X - + « = V* r This being expanded, we get S*^ *cA 8rf2ffT / By...
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