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Source | marc_openlibraries_sanfranciscopubliclibrary |
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LEADER: 03962cam a2200601 i 4500
001 929917433
003 OCoLC
005 20170321092343.0
008 160303s2016 nyua b 001 0 eng
010 $a2016007783
019 $a958083717
020 $a9781633881679 (hardcover)
020 $a1633881679 (hardcover)
035 $a929917433
035 $a(OCoLC)929917433$z(OCoLC)958083717
037 $bRandom House Inc, Attn Order Entry 400 Hahn rd, Westminster, MD, USA, 21157$nSAN 201-3975
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049 $aSFRA
050 00 $aQA484$b.P66 2016
082 00 $a516/.18$223
092 $a516.18$bP84c
100 1 $aPosamentier, Alfred S.
245 14 $aThe circle :$ba mathematical exploration beyond the line /$cAlfred S. Posamentier & Robert Geretschläger.
264 1 $aAmherst, New York :$bPrometheus Books,$c2016.
300 $a349 pages :$billustrations ;$c24 cm
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
338 $avolume$bnc$2rdacarrier
504 $aIncludes bibliographical references and index.
505 0 $aThe circle relationships in basic plane geometry-and an extension -- The circle's special role in geometry -- Famous theorems about circles -- Circle-packing problems -- Investigation of equicircles -- Circle constructions : the problem of Apollonius -- Inversion : circle symmetry -- Mascheroni constructions : using only compasses -- Circles in art and architecture -- Rolling circles : hypocycloids and epicycloids / by Christain Spreitzer -- Spherical geometry : circles on the sphere -- Afterword : A cultural introduction to the circle / by Erwin Rauscher.
520 $aThe circle has fascinated mathematicians since ancient times. This entertaining book describes in layperson's terms the many intriguing properties of this fundamental shape. If math has intimidated you, this may be the ideal book to help you appreciate the discipline through one of its most important elements. The authors begin with a brief review of the basic properties of the circle and related figures. They then show the many ways in which the circle manifests itself in the field of geometryleading to some amazing relationships and truly important geometric theorems. In addition, they explore remarkable circle constructions and demonstrate how all constructions in geometry that usually require an unmarked straightedge and a compass can also be done with the compass alone. Among other things, the reader will learn that circles can generate some unusual curves -- many even quite artistic. Finally, the role of circles in art and architecture and a discussion of the circle's place on the sphere bring "full circle" this presentation of a key element of geometry. -- Provided by publisher.
650 0 $aCircle.
650 0 $aCircle packing.
650 0 $aGeometry, Plane.
650 0 $aGeometry.
700 1 $aGeretschläger, Robert.
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