A Treatise on Mensuration: Both in Theory and PracticeSaint, 1770 - 646 pages |
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Page xvi
... circle and sphere ; and when he could not accurately deter- mine their measures , he gave an excellent method of approximating to them , by fhewing how in a circle to infcribe a regular polygon which fhould not touch another circle ...
... circle and sphere ; and when he could not accurately deter- mine their measures , he gave an excellent method of approximating to them , by fhewing how in a circle to infcribe a regular polygon which fhould not touch another circle ...
Page xvii
... circle , and found it to be to the fquare of the diameter as 11 is to 14. - He likewife determined the relation between the circle and ellipfe , with that of their fi- milar parts . - The hyperbola too in all probability he attempted ...
... circle , and found it to be to the fquare of the diameter as 11 is to 14. - He likewife determined the relation between the circle and ellipfe , with that of their fi- milar parts . - The hyperbola too in all probability he attempted ...
Page xviii
... circle , and thofe after Archimedes , by his method , ufually extended the approximation to a greater degree of accuracy . MANY of the moderns alfo have profecuted the fame problem of the quadrature of the circle , after the fame ...
... circle , and thofe after Archimedes , by his method , ufually extended the approximation to a greater degree of accuracy . MANY of the moderns alfo have profecuted the fame problem of the quadrature of the circle , after the fame ...
Page xix
... hopes of fquaring . the circle , and its quadrature was attempted with eagernefs . The quadrature of a space was now reduced to the finding of the fluent of of a given fluxion , but this problem however was PREFACE . xix.
... hopes of fquaring . the circle , and its quadrature was attempted with eagernefs . The quadrature of a space was now reduced to the finding of the fluent of of a given fluxion , but this problem however was PREFACE . xix.
Page xx
... circle failed , its area still coming out an infinite feries . - All hopes of the quadrature of the circle being now at an end , the geometricians employed themselves in difcovering and felecting the best forms of infinite feries for ...
... circle failed , its area still coming out an infinite feries . - All hopes of the quadrature of the circle being now at an end , the geometricians employed themselves in difcovering and felecting the best forms of infinite feries for ...
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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