A Treatise on Mensuration: Both in Theory and PracticeSaint, 1770 - 646 pages |
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Page 160
... 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 × 7854 20x28x * 7854439'824 their ...
... 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 × 7854 20x28x * 7854439'824 their ...
Page 211
... head diameter 24 , 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 ...
... head diameter 24 , 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 ...
Page 279
... 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 ° 472 tent in inches ...
... 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 ° 472 tent in inches ...
Page 282
... 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 .
... 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
... head diameters , = the length of the cafk , n = 785398 & c . and d = lw , w being the wet part of or the height of the liquor in the cask . * Ex- * DEMONSTRATION . For , if D be the diameter at the furface of the liquor , by the ...
... head diameters , = the length of the cafk , n = 785398 & c . and d = lw , w being the wet part of or the height of the liquor in the cask . * Ex- * DEMONSTRATION . For , if D be the diameter at the furface of the liquor , by 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