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100   $a20120727d2013      uy             0
101 0 $aeng
135   $aurunu|||||
181   $ctxt
182   $cc
183   $acr
200 10$aHeavenly mathematics$b[electronic resource] $ethe forgotten art of spherical trigonometry /$fGlen Van Brummelen
205   $aCourse Book
210   $aPrinceton $cPrinceton University Press$dc2013
215   $a1 online resource (217 p.)
300   $aDescription based upon print version of record.
311   $a0-691-17599-3 
311   $a0-691-14892-9 
320   $aIncludes bibliographical references and index.
327   $aHeavenly mathematics -- Exploring the sphere -- The ancient approach -- The medieval approach -- The modern approach: right-angled triangles -- The modern approach: oblique triangles -- Areas, angles, and polyhedra -- Stereographic projection -- Navigation.
330   $aHeavenly Mathematics traces the rich history of spherical trigonometry, revealing how the cultures of classical Greece, medieval Islam, and the modern West used this forgotten art to chart the heavens and the Earth. Once at the heart of astronomy and ocean-going navigation for two millennia, the discipline was also a mainstay of mathematics education for centuries and taught widely until the 1950's. Glen Van Brummelen explores this exquisite branch of mathematics and its role in ancient astronomy, geography, and cartography; Islamic religious rituals; celestial navigation; polyhedra; stereographic projection; and more. He conveys the sheer beauty of spherical trigonometry, providing readers with a new appreciation of its elegant proofs and often surprising conclusions. Heavenly Mathematics is illustrated throughout with stunning historical images and informative drawings and diagrams. This unique compendium also features easy-to-use appendixes as well as exercises that originally appeared in textbooks from the eighteenth to the early twentieth centuries.
606   $aSpherical trigonometry
606   $aTrigonometry
610   $aAb? 'l-Waf?.
610   $aAb? Mahm?d al-Khujand?.
610   $aAb? Nasr Mans?r ibn 'Al? ibn 'Ir?q.
610   $aAb? Sahl al-K?h?.
610   $aAlbert Girard.
610   $aB. M. Brown.
610   $aCesàro method.
610   $aChristopher Columbus.
610   $aClaudius Ptolemy.
610   $aEarth.
610   $aElements.
610   $aGeorg Rheticus.
610   $aGiuseppe Cesàro.
610   $aHipparchus of Rhodes.
610   $aIslam.
610   $aIslamic religious rituals.
610   $aJohn Harrison.
610   $aJohn Napier.
610   $aLaw of Cosines.
610   $aLaw of Sines.
610   $aLeonhard Euler.
610   $aMathematical Collection.
610   $aMecca.
610   $aMenelaus of Alexandria.
610   $aMenelaus's Theorem.
610   $aMoon.
610   $aNapier's Rules.
610   $aOpus palatinum.
610   $aPlanisphere.
610   $aPtolemy.
610   $aPythagorean Theorem.
610   $aRule of Four Quantities.
610   $aSphaerica.
610   $aSun.
610   $aacute-angled triangle.
610   $aangle.
610   $aarea.
610   $aastrolabe.
610   $aastronomical triangle.
610   $aastronomy.
610   $acartography.
610   $acelestial motion.
610   $acelestial sphere.
610   $achronometer.
610   $aclassical Greece.
610   $adead reckoning.
610   $aecliptic.
610   $aequatorial coordinates.
610   $ageography.
610   $alocality principle.
610   $alogarithms.
610   $amarteloio.
610   $amathematics.
610   $amethod of Saint Hilaire.
610   $anavigation.
610   $aoblique triangle.
610   $apentagramma mirificum.
610   $aplanar Law of Sines.
610   $aplane trigonometry.
610   $aplanets.
610   $apolygon.
610   $apolyhedron.
610   $aqibla.
610   $aregular polyhedron.
610   $aright-angled triangle.
610   $arising time.
610   $asphere.
610   $aspherical Law of Sines.
610   $aspherical astronomy.
610   $aspherical geometry.
610   $aspherical triangle.
610   $aspherical trigonometry.
610   $astar.
610   $astars.
610   $astereographic projection.
610   $atable of sine.
610   $atheorems.
610   $atriangle.
610   $atrigonometric table.
610   $atrigonometry.
615  0$aSpherical trigonometry.
615  0$aTrigonometry.
676   $a516.24
686   $aSN 100$2rvk
700   $aVan Brummelen$b Glen$01086265
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910786023403321
996   $aHeavenly mathematics$93721842
997   $aUNINA