A Treatise on Mensuration: Both in Theory and PracticeSaint, 1770 - 646 pages |
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Page xvii
... whole num- bers , gives that of 22 to 7 , for 34 : 1 :: 22 : 7 , which therefore will be nearly the ratio of the circumference to the diameter . From this ratio of the circumference to the diameter he computed the approximate area of ...
... whole num- bers , gives that of 22 to 7 , for 34 : 1 :: 22 : 7 , which therefore will be nearly the ratio of the circumference to the diameter . From this ratio of the circumference to the diameter he computed the approximate area of ...
Page xxiv
... whole book ) and interesting ; and I have given throughout many pretty approximations of the values of feveral things which cannot be truly expressed otherwise than by an infinite feries , which approximations are generally new ...
... whole book ) and interesting ; and I have given throughout many pretty approximations of the values of feveral things which cannot be truly expressed otherwise than by an infinite feries , which approximations are generally new ...
Page 6
... whole circum- ference . A fegment is any part of the circle terminated by an arc and its chord , as DBFD , or DBEAD . A fector is a part of a circle contained within two radiufes and their included arc , as CBFDC , or CBEADC A ...
... whole circum- ference . A fegment is any part of the circle terminated by an arc and its chord , as DBFD , or DBEAD . A fector is a part of a circle contained within two radiufes and their included arc , as CBFDC , or CBEADC A ...
Page 25
... whole triangle into two right - angled triangles ; it will be As the base , or fum of the fegments : Is to the fum of the other two fides :: So is the difference of thofe fides : To the difference of the fegments of the base . Then half ...
... whole triangle into two right - angled triangles ; it will be As the base , or fum of the fegments : Is to the fum of the other two fides :: So is the difference of thofe fides : To the difference of the fegments of the base . Then half ...
Page 36
... whole height . Note . If you go off to fuch a distance from the bottom , as that the angle of elevation fhall be 45 ° , then will the height be equal to the distance with the height of the eye added . EXAMPLE II .. From the edge of a ...
... whole height . Note . If you go off to fuch a distance from the bottom , as that the angle of elevation fhall be 45 ° , then will the height be equal to the distance with the height of the eye added . EXAMPLE II .. From the edge of a ...
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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