000351142 000__ 05247cam\a22003614a\4500 000351142 001__ 351142 000351142 005__ 20210513125839.0 000351142 008__ 070807s2008\\\\njuaf\\\\b\\\\001\0\eng\\ 000351142 010__ $$a 2007032801 000351142 019__ $$a170057647$$a173499122$$a494508784 000351142 020__ $$a9780691131184 (alk. paper) 000351142 020__ $$a069113118X (alk. paper) 000351142 035__ $$a(OCoLC)ocn163625336 000351142 035__ $$a351142 000351142 040__ $$aDLC$$beng$$cDLC$$dC#P$$dUKM$$dBAKER$$dBTCTA$$dYDXCP$$dVP@$$dYBM$$dTSU$$dLMR$$dNOR$$dHLS$$dEUM$$dZWZ$$dOCLCQ 000351142 049__ $$aISEA 000351142 05000 $$aTA330$$b.B79 2008 000351142 08200 $$a516/.15$$222 000351142 1001_ $$aBryant, John,$$d1934- 000351142 24510 $$aHow round is your circle? :$$bwhere engineering and mathematics meet /$$cJohn Bryant and Chris Sangwin. 000351142 260__ $$aPrinceton :$$bPrinceton University Press,$$cc2008. 000351142 300__ $$axix, 306 p., [16] p. of plates :$$bill. (some col.) ;$$c25 cm. 000351142 504__ $$aIncludes bibliographical references and index. 000351142 50500 $$tPreface --$$tAcknowledgements --$$gch. 1.$$tHard lines --$$g1.1.$$tCutting lines --$$g1.2.$$tThe Pythagorean theorem --$$g1.3.$$tBroad lines --$$g1.4.$$tCutting lines --$$g1.5.$$tTrial by trials --$$gch. 2.$$tHow to draw a straight line --$$g2.1.$$tApproximate-straight-line linkages --$$g2.2.$$tExact-straight-line linkages --$$g2.3.$$tHart's exact-straight-line mechanism --$$g2.4.$$tGuide linkages --$$g2.5.$$tOther ways to draw a straight line --$$gch. 3.$$tFour-bar variations --$$g3.1.$$tMaking linkages --$$g3.2.$$tThe pantograph --$$g3.3.$$tThe crossed parallelogram --$$g3.4.$$tFour-bar linkages --$$g3.5.$$tThe triple generation theorem --$$g3.6.$$tHow to draw a big circle --$$g3.7.$$tChebyshev's paradoxical mechanism --$$gch. 4.$$tBuilding the world's first ruler --$$g4.1.$$tStandards of length --$$g4.2.$$tDividing the unit by geometry --$$g4.3.$$tBuilding the world's first ruler --$$g4.4.$$tRuler markings --$$g4.5.$$tReading scales accurately --$$g4.6.$$tSimilar triangles and the sector --$$gch. 5.$$tDividing the circle --$$g5.1.$$tUnits of angular measurement --$$g5.2.$$tConstructing base angles via polygons --$$g5.3.$$tConstructing a regular pentagon --$$g5.4.$$tBuilding the world's first protractor --$$g5.5.$$tApproximately trisecting an angle --$$g5.6.$$tTrisecting an angle by other means --$$g5.7.$$tTrisection of an arbitrary angle --$$g5.8.$$tOrigami. 000351142 50500 $$gch. 6.$$tFalling apart --$$g6.1.$$tAdding up sequences of integers --$$g6.2.$$tDuijvestijn's dissection --$$g6.3.$$tPacking --$$g6.4.$$tPlane dissections --$$g6.5.$$tRipping paper --$$g6.6.$$tA homely dissection --$$g6.7.$$tSomething more solid --$$gch. 7.$$tFollow my leader --$$gch. 8.$$tIn pursuit of coat-hangers --$$g8.1.$$tWhat is area? --$$g8.2.$$tPractical measurement of areas --$$g8.3.$$tAreas swept out by a line --$$g8.4.$$tThe linear planimeter --$$g8.5.$$tThe polar planimeter of Amsler --$$g8.6.$$tThe hatchet planimeter of Prytz --$$g8.7.$$tThe return of the bent coat-hanger --$$g8.8.$$tOther mathematical integrators --$$gch. 9.$$tAll approximations are rational --$$g9.1.$$tLaying pipes under a tiled floor --$$g9.2.$$tCogs and millwrights --$$g9.3.$$tCutting a metric screw --$$g9.4.$$tThe binary calendar --$$g9.5.$$tThe harmonograph--$$g9.6.$$tA little nonsense! --$$gch. 10.$$tHow round is your circle? --$$g10.1.$$tFamilies of shapes of constant width --$$g10.2.$$tOther shapes of constant width --$$g10.3.$$tThree-dimensional shapes of constant width --$$g10.4.$$tApplications --$$g10.5.$$tMaking shapes of constant width --$$g10.6.$$tRoundness --$$g10.7.$$tThe British Standard Summit Tests of BS3730 --$$g10.8.$$tThree-point tests --$$g10.9.$$tShapes via an envelope of lines --$$g10.10.$$tRotors of triangles with rational angles --$$g10.11.$$tExamples of rotors of triangles --$$g10.12.$$tModern and accurate roundness methods. 000351142 50500 $$gch. 11.$$tPlenty of slide rule --$$g11.1.$$tThe logarithmic slide rule --$$g11.2.$$tThe invention of slide rules --$$g11.3.$$tOther calculations and scales --$$g11.4.$$tCircular and cylindrical slide rules --$$g11.5.$$tSlide rules for special purposes --$$g11.6.$$tThe magnameta oil tonnage calculator --$$g11.7.$$tNon-logarithmic slide rules --$$g11.8.$$tNomograms --$$g11.9.$$tOughtred and Delamian's views on education --$$gch. 12.$$tAll a matter of balance --$$g12.1.$$tStacking up --$$g12.2.$$tThe divergence of the harmonic series --$$g12.3.$$tBuilding the stack of dominos --$$g12.4.$$tThe leaning pencil and reaching the stars --$$g12.5.$$tSpiralling out of control --$$g12.6.$$tEscaping from danger --$$g12.7.$$tLeaning both ways! --$$g12.8.$$tSelf-righting stacks --$$g12.9.$$tTwo-tip polyhedra --$$g12.10.$$tUni-stable polyhedra --$$gch. 13.$$tFinding some equilibrium --$$g13.1.$$tRolling uphill --$$g13.2.$$tPerpendicular rolling discs --$$g13.3.$$tEllipses --$$g13.4.$$tSlotted ellipses --$$g13.5.$$tThe super-egg --$$tEpilogue --$$tReferences --$$tIndex. 000351142 520__ $$a'How Round is your Circle?' includes chapters on: hard lines; how to draw a straight line; four-bar variations; building the world's first rules; dividing the circle; falling aprat; follow my leader; all approximations are rational; all a matter of balance; and finding some equilibrium. 000351142 650_0 $$aEngineering mathematics. 000351142 650_0 $$aGeometry, Plane. 000351142 650_0 $$aGeometry, Algebraic. 000351142 650_0 $$aGeometrical models. 000351142 7001_ $$aSangwin, C. J.$$q(Christopher J.) 000351142 85200 $$bgen$$hTA330$$i.B79$$i2008 000351142 85641 $$3Table of contents only$$uhttp://catdir.loc.gov/catdir/toc/fy0805/2007032801.html 000351142 909CO $$ooai:library.usi.edu:351142$$pGLOBAL_SET 000351142 980__ $$aBIB 000351142 980__ $$aBOOK