| Record ID | marc_nuls/NULS_PHC_180925.mrc:59035374:2950 |
| Source | marc_nuls |
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LEADER: 02950cam 2200409 i 4500
001 9925290100501661
005 20170407053518.5
008 160303s2016 nyu b 001 0 eng
010 $a 2016007783
019 $a958083717
020 $a9781633881679 (hardcover)
020 $a1633881679 (hardcover)
035 $a99973811212
035 $a(OCoLC)929917433$z(OCoLC)958083717
035 $a(OCoLC)ocn929917433
040 $aDLC$beng$erda$cDLC$dYDXCP$dBTCTA$dBDX$dOCLCF$dORX$dVP@$dHF9$dWRF
042 $apcc
050 00 $aQA484$b.P66 2016
082 00 $a516/.18$223
100 1 $aPosamentier, Alfred S.
245 14 $aThe circle :$ba mathematical exploration beyond the line /$cAlfred S. Posamentier & Robert Geretschla ger.
264 1 $aAmherst, New York :$bPrometheus Books,$c2016.
300 $a349 pages :$billustrations ;$c24 cm
336 $atext$2rdacontent
337 $aunmediated$2rdamedia
338 $avolume$2rdacarrier
504 $aIncludes bibliographical references and index.
505 0 $aThe circle relationships in basic plane geometry-and an extension -- Curious relationships involving circles (special roles) -- Famous theorems about circles -- Circle packing problems -- Equicircles -- Circle constructions : the problem of Apollonius -- Inversion-circle symmetry -- Mascheroni constructions-using only a compass -- Circles in art and architecture -- Hypocycloids and Epicycloids -- Spherical geometry : circles on the sphere.
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 geometry—leading 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 $aGeretschla ger, Robert.
776 08 $iOnline version:$aPosamentier, Alfred S.$tCircle$dAmherst, New York : Prometheus Books, 2016$z9781633881686$w(DLC) 2016011144
947 $hCIRCSTACKS$r31786103094972
980 $a99973811212