A Treatise on Mensuration: Both in Theory and PracticeSaint, 1770 - 646 pages |
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Page 160
... bung diameter 28 inches , its head diameter 20 inches , and length 40 inches ; how many gallons of wine will it hold ? Here 20 ' x * 7854314'16 area at the end , 28 * x * 7854615 * 7536 = area of the bung circle , and 20'x7854 × 28 ...
... bung diameter 28 inches , its head diameter 20 inches , and length 40 inches ; how many gallons of wine will it hold ? Here 20 ' x * 7854314'16 area at the end , 28 * x * 7854615 * 7536 = area of the bung circle , and 20'x7854 × 28 ...
Page 211
... bung dia- meter 32 , and length 40 inches ; how many ale gal- lons will it hold . Here CE - PR = 32-24 = 4 = TC , 2 PT TC 202 400 = = 4 4 100 = TK ; hence 100 + 4 = 104 the diameter , and 52 = the radius of the generating circle . FC ...
... bung dia- meter 32 , and length 40 inches ; how many ale gal- lons will it hold . Here CE - PR = 32-24 = 4 = TC , 2 PT TC 202 400 = = 4 4 100 = TK ; hence 100 + 4 = 104 the diameter , and 52 = the radius of the generating circle . FC ...
Page 279
... bung dia meter is 30 , the head diameter 18 , and the length of the cafk is 40 inches ; what is the content in ale and wine gallons . Here D = 30 , d = 18 , and a = 40 . Wherefore 2 D2 + d2 × } an = 2 × 302 + 182 × 2618 × 402124 × 10 ...
... bung dia meter is 30 , the head diameter 18 , and the length of the cafk is 40 inches ; what is the content in ale and wine gallons . Here D = 30 , d = 18 , and a = 40 . Wherefore 2 D2 + d2 × } an = 2 × 302 + 182 × 2618 × 402124 × 10 ...
Page 282
... bung and head diameters by 4 times the fquare of the difference between the height of the liquor and half the length of the cafk , and divide the pro- duct f duct by the fquare of the length of the cask 282 Part III . SPHEROID .
... bung and head diameters by 4 times the fquare of the difference between the height of the liquor and half the length of the cafk , and divide the pro- duct f duct by the fquare of the length of the cask 282 Part III . SPHEROID .
Page 283
... bung diameter , and multiply the remainder by the aforefaid difference between the height of the liquor and the length of the cafk ; then the product multiplied by 261799 & c . ( = of 78539 & c . ) will produce the quantity by which the ...
... bung diameter , and multiply the remainder by the aforefaid difference between the height of the liquor and the length of the cafk ; then the product multiplied by 261799 & c . ( = of 78539 & c . ) will produce the quantity by which the ...
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Common terms and phrases
abfciffa againſt alfo Alnwick alſo altitude angle area Verf bafe baſe becauſe breadth bung cafe cafk circle whofe circumference cofine cone confequently conftruction conjugate COROLLARY defcribe difference dimenfions diſtance ditto divided divifion ellipfe equal expreffed expreffion faid fame example fecond fection feet fegment feries fhall fide figure fimilar fince find the area firſt fixed axe fluxion folid fome fpheroid fpindle fquare fruftum fubtract fuch fuppofing furface gallons girt greateſt half head diameter hence hoof hyperbola inches interfecting laft laſt laſt problem lefs length meaſure method middle moſt multiply muſt Newcaſtle oppofite ordinate parabola paraboloid parallel perpendicular plane prob quotient radius rule Schoolmafter ſhall Sliding Rule ſphere ſquare ſtation tangent theſe thickneſs thofe thoſe tranfverfe trapezium triangle uſed vertex Wherefore whofe whofe height whole whoſe zone ΙΟ