A Treatise on Mensuration: Both in Theory and PracticeSaint, 1770 - 646 pages |
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Page xxiii
... In like manner treats on parabolic lines , areas , surfaces , and folidities . And Set . 5. On hyperbolic lines , areas , furfaces , and folidities .. In In these fections the feveral figures and bodies are very PREFACE . xxiii.
... In like manner treats on parabolic lines , areas , surfaces , and folidities . And Set . 5. On hyperbolic lines , areas , furfaces , and folidities .. In In these fections the feveral figures and bodies are very PREFACE . xxiii.
Page 53
... surface of the earth is to that of the moon as ( 37 × 37or ) 13 to I nearly ; or , the earth reflects upon the moon about 134 times as much light as the moon does upon the earth . - Moreover , the bulk of the earth is to that of the ...
... surface of the earth is to that of the moon as ( 37 × 37or ) 13 to I nearly ; or , the earth reflects upon the moon about 134 times as much light as the moon does upon the earth . - Moreover , the bulk of the earth is to that of the ...
Page 143
... surfaces of fimilar prifms , and indeed of any other fimilar bodies , are as the fquares of their like lineal dimenfions ; this follows from their being compofed of fimilar plane figures , alike placed . Therefore 4 × 20 = 90 fquare ...
... surfaces of fimilar prifms , and indeed of any other fimilar bodies , are as the fquares of their like lineal dimenfions ; this follows from their being compofed of fimilar plane figures , alike placed . Therefore 4 × 20 = 90 fquare ...
Page 154
... surface required . PRO- * DEMONSTRATION . For the furface is compofed of a number of equal trapezoids whofe common height is equal to the flant height of the fruftum , and the fums of whofe parallel fides make up the perimeters of the ...
... surface required . PRO- * DEMONSTRATION . For the furface is compofed of a number of equal trapezoids whofe common height is equal to the flant height of the fruftum , and the fums of whofe parallel fides make up the perimeters of the ...
Page 186
... surface of the comple- mental ungula . That is , xD + d - AD -AD √ 4b2 + D - di2 D - d × : -ndd + feg . FAE + BD dd Х DD ADX feg . of the cir . AB whose height d - AD " is D d - AD Xd the convex furface is 186 Part III . CONIC UNGULAS ...
... surface of the comple- mental ungula . That is , xD + d - AD -AD √ 4b2 + D - di2 D - d × : -ndd + feg . FAE + BD dd Х DD ADX feg . of the cir . AB whose height d - AD " is D d - AD Xd the convex furface is 186 Part III . CONIC UNGULAS ...
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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