A Treatise on Mensuration: Both in Theory and PracticeSaint, 1770 - 646 pages |
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Page 145
... all parallel to the base ; for the prifms being both of a height , the one of them will require as many of fuch plates to compofe it as the other . EXAMPLE II . How many ale gallons of water will Sect . I. 145 PRISM . 1 ...
... all parallel to the base ; for the prifms being both of a height , the one of them will require as many of fuch plates to compofe it as the other . EXAMPLE II . How many ale gallons of water will Sect . I. 145 PRISM . 1 ...
Page 146
... gallons . EXAMPLE III . What is the capacity of a cylinder whofe height is 20 feet , and the circumference of its bafe 20 feet , alfo ? 20 First , = the diameter , and 10x ; 3 * 1416 25 = the area of the end . * 7854 Then , × 20 = 25 ...
... gallons . EXAMPLE III . What is the capacity of a cylinder whofe height is 20 feet , and the circumference of its bafe 20 feet , alfo ? 20 First , = the diameter , and 10x ; 3 * 1416 25 = the area of the end . * 7854 Then , × 20 = 25 ...
Page 151
... gallon , give 48.50939 ale gallons for the content . EXAMPLE II . Suppofe the cylinder fo placed , that the furface of the liquor may bifect the bafe , and rise up the fide to to the fame diftance of 120 inches from the bafe Sect . I ...
... gallon , give 48.50939 ale gallons for the content . EXAMPLE II . Suppofe the cylinder fo placed , that the furface of the liquor may bifect the bafe , and rise up the fide to to the fame diftance of 120 inches from the bafe Sect . I ...
Page 152
... gallons , for the content in this cafe . EXAMPLE III . Suppofe , now , the fame veffel fo placed as that the furface of the liquor may leave only 10 inches of the diameter dry , ftill rifing to the fame diftance of 120 inches along the ...
... gallons , for the content in this cafe . EXAMPLE III . Suppofe , now , the fame veffel fo placed as that the furface of the liquor may leave only 10 inches of the diameter dry , ftill rifing to the fame diftance of 120 inches along the ...
Page 160
... 18263 168 folid inches ; which divided by 231 , the inches in a wine gallon , 3 ) 18263.168 7 ) 6087.7226 = thus , 231 = 3 × 7 × 11 { 11 ) 869.6746 gives 790613 wine gallons . Or , Or , 201 + 281 + 20x28x40 × 2618 = 160 Part III . PYRAMID .
... 18263 168 folid inches ; which divided by 231 , the inches in a wine gallon , 3 ) 18263.168 7 ) 6087.7226 = thus , 231 = 3 × 7 × 11 { 11 ) 869.6746 gives 790613 wine gallons . Or , Or , 201 + 281 + 20x28x40 × 2618 = 160 Part III . PYRAMID .
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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