A Treatise on Mensuration: Both in Theory and PracticeSaint, 1770 - 646 pages |
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Page 95
... consequently the 2r A E F B D G area CDF ; ander the area CAE of the whole circle or sector accordingly . Q.E.D. DEMONSTRATION of RULE II . And to prove the fecond rule , let it be first observed , that all cir- cles , as being fimilar ...
... consequently the 2r A E F B D G area CDF ; ander the area CAE of the whole circle or sector accordingly . Q.E.D. DEMONSTRATION of RULE II . And to prove the fecond rule , let it be first observed , that all cir- cles , as being fimilar ...
Page 221
... consequently CE : Ec :: QE : ER . And this analogy of the fections will not feem strange when we confider that a cone is a species of the hyperboloid , or a triangle a fpecies of the hy- perbola , whofe axes are infinitely little . 3 K ...
... consequently CE : Ec :: QE : ER . And this analogy of the fections will not feem strange when we confider that a cone is a species of the hyperboloid , or a triangle a fpecies of the hy- perbola , whofe axes are infinitely little . 3 K ...
Page 418
... consequently √704 - √562 = √562 - √ . = that of the under part of it . 13 8 562 13 Then , because fimilar folids are as the cubes of 3 their like dimensions , we shall have 200 : 1363 .. √562 3 1 ✓ 13 3 120 1363562 1363 × √562 ...
... consequently √704 - √562 = √562 - √ . = that of the under part of it . 13 8 562 13 Then , because fimilar folids are as the cubes of 3 their like dimensions , we shall have 200 : 1363 .. √562 3 1 ✓ 13 3 120 1363562 1363 × √562 ...
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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