LEADER 02433nam 2200469Ia 450 001 996386756103316 005 20210104171830.0 035 $a(CKB)4940000000082875 035 $a(EEBO)2240907024 035 $a(OCoLC)ocn180867204e 035 $a(OCoLC)180867204 035 $a(EXLCZ)994940000000082875 100 $a20071107d1580 uy 0 101 0 $aeng 135 $aurbn||||a|bb| 200 14$aThe enimie of securitie or A dailie exercise of godly meditations$b[electronic resource] $edrawne out of the pure fountaines of the holie Scriptures, and published for the profite of al persons of any state or calling, in the German and Latine tonges, /$fby the right reuerend Iohn Auenar, publike professor of the Hebrue tong, in the famous Vniuersitie of VViteberge; ; In English by Thomas Rogers Maister of Arts and student in diuinitie. 205 $aThe thirde edition.. 210 $aImprinted at London $cby Henry Denham, dwelling in Pater noster Row, at the signe of the Starre, being the assigne of Wylliam Seres.$d1580. 215 $a[46], 346, [12] p 300 $aA translation, by Thomas Rogers, of Habermann, Johann. Christliche Gebet. Enlarged from the first edition in English (STC 12582.2). 300 $aAuthor's name from STC; imprint, except date, from colophon, which includes printer's device McK. 214. 300 $aFirst five words of title are xylographic, within ornamental frame; head-pieces (head-piece on B? is McK. 295); initials. 300 $aAt foot of title page: Seene and allowed according to the Queenes Maiesties Iniunctions. 300 $aDedication is dated 10 October 1579. 300 $aSignatures: [pi]¹²(-1) B-R¹² (last leaf blank?). 300 $aError in paging: p. 121 misnumbered 112. 300 $aImperfect: stained, with loss of text. 300 $aReproduction of original in: British Library. 320 $aIncludes bibliographical references in marginal notes. 330 $aeebo-0018 606 $aPrayers$vEarly works to 1800 606 $aDevotional exercises$vEarly works to 1800 615 0$aPrayers 615 0$aDevotional exercises 700 $aHabermann$b Johann$f1516-1590.$0879670 701 $aRogers$b Thomas$fd. 1616.$01001286 801 0$bUMI 801 1$bUMI 906 $aBOOK 912 $a996386756103316 996 $aThe enimie of securitie or A dailie exercise of godly meditations$92331308 997 $aUNISA LEADER 08279nam 2201921Ia 450 001 9910781200003321 005 20200520144314.0 010 $a1-282-45858-2 010 $a9786612458583 010 $a1-4008-3197-0 024 7 $a10.1515/9781400831975 035 $a(CKB)2550000000002896 035 $a(EBL)483585 035 $a(OCoLC)592756158 035 $a(SSID)ssj0000341196 035 $a(PQKBManifestationID)11266045 035 $a(PQKBTitleCode)TC0000341196 035 $a(PQKBWorkID)10389097 035 $a(PQKB)10409971 035 $a(MiAaPQ)EBC483585 035 $a(DE-B1597)446668 035 $a(OCoLC)979579137 035 $a(DE-B1597)9781400831975 035 $a(Au-PeEL)EBL483585 035 $a(CaPaEBR)ebr10364739 035 $a(CaONFJC)MIL245858 035 $a(PPN)201955016 035 $a(EXLCZ)992550000000002896 100 $a20090325d2009 uy 0 101 0 $aeng 135 $aur||#|||||||| 181 $ctxt 182 $cc 183 $acr 200 10$aOuter billiards on kites$b[electronic resource] /$fRichard Evan Schwartz 205 $aCourse Book 210 $aPrinceton, NJ $cPrinceton University Press$dc2009 215 $a1 online resource (321 p.) 225 1 $aAnnals of mathematics studies ;$v171 300 $aDescription based upon print version of record. 311 $a0-691-14248-3 311 $a0-691-14249-1 320 $aIncludes bibliographical references and index. 327 $tFront matter --$tContents --$tPreface --$tChapter 1. Introduction --$tPart 1. The Erratic Orbits Theorem --$tChapter 2. The Arithmetic Graph --$tChapter 3. The Hexagrid Theorem --$tChapter 4. Period Copying --$tChapter 5. Proof of the Erratic Orbits Theorem --$tPart 2. The Master Picture Theorem --$tChapter 6. The Master Picture Theorem --$tChapter 7. The Pinwheel Lemma --$tChapter 8. The Torus Lemma --$tChapter 9. The Strip Functions --$tChapter 10. Proof of the Master Picture Theorem --$tPart 3. Arithmetic Graph Structure Theorems --$tChapter 11. Proof of the Embedding Theorem --$tChapter 12. Extension and Symmetry --$tChapter 13. Proof of Hexagrid Theorem I --$tChapter 14. The Barrier Theorem --$tChapter 15. Proof of Hexagrid Theorem II --$tChapter 16. Proof of the Intersection Lemma --$tPart 4. Period-Copying Theorems --$tChapter 17. Diophantine Approximation --$tChapter 18. The Diophantine Lemma --$tChapter 19. The Decomposition Theorem --$tChapter 20. Existence of Strong Sequences --$tPart 5. The Comet Theorem --$tChapter 21. Structure of the Inferior and Superior Sequences --$tChapter 22. The Fundamental Orbit --$tChapter 23. The Comet Theorem --$tChapter 24. Dynamical Consequences --$tChapter 25. Geometric Consequences --$tPart 6. More Structure Theorems --$tChapter 26. Proof of the Copy Theorem --$tChapter 27. Pivot Arcs in the Even Case --$tChapter 28. Proof of the Pivot Theorem --$tChapter 29. Proof of the Period Theorem --$tChapter 30. Hovering Components --$tChapter 31. Proof of the Low Vertex Theorem --$tAppendix --$tBibliography --$tIndex 330 $aOuter billiards is a basic dynamical system defined relative to a convex shape in the plane. B. H. Neumann introduced this system in the 1950's, and J. Moser popularized it as a toy model for celestial mechanics. All along, the so-called Moser-Neumann question has been one of the central problems in the field. This question asks whether or not one can have an outer billiards system with an unbounded orbit. The Moser-Neumann question is an idealized version of the question of whether, because of small disturbances in its orbit, the Earth can break out of its orbit and fly away from the Sun. In Outer Billiards on Kites, Richard Schwartz presents his affirmative solution to the Moser-Neumann problem. He shows that an outer billiards system can have an unbounded orbit when defined relative to any irrational kite. A kite is a quadrilateral having a diagonal that is a line of bilateral symmetry. The kite is irrational if the other diagonal divides the quadrilateral into two triangles whose areas are not rationally related. In addition to solving the basic problem, Schwartz relates outer billiards on kites to such topics as Diophantine approximation, the modular group, self-similar sets, polytope exchange maps, profinite completions of the integers, and solenoids--connections that together allow for a fairly complete analysis of the dynamical system. 410 0$aAnnals of mathematics studies ;$v171. 606 $aHyperbolic spaces 606 $aSingularities (Mathematics) 606 $aTransformations (Mathematics) 606 $aGeometry, Plane 610 $aAbelian group. 610 $aAutomorphism. 610 $aBig O notation. 610 $aBijection. 610 $aBinary number. 610 $aBisection. 610 $aBorel set. 610 $aC0. 610 $aCalculation. 610 $aCantor set. 610 $aCartesian coordinate system. 610 $aCombination. 610 $aCompass-and-straightedge construction. 610 $aCongruence subgroup. 610 $aConjecture. 610 $aConjugacy class. 610 $aContinuity equation. 610 $aConvex lattice polytope. 610 $aConvex polytope. 610 $aCoprime integers. 610 $aCounterexample. 610 $aCyclic group. 610 $aDiameter. 610 $aDiophantine approximation. 610 $aDiophantine equation. 610 $aDisjoint sets. 610 $aDisjoint union. 610 $aDivision by zero. 610 $aEmbedding. 610 $aEquation. 610 $aEquivalence class. 610 $aErgodic theory. 610 $aErgodicity. 610 $aFactorial. 610 $aFiber bundle. 610 $aFibonacci number. 610 $aFundamental domain. 610 $aGauss map. 610 $aGeometry. 610 $aHalf-integer. 610 $aHomeomorphism. 610 $aHyperbolic geometry. 610 $aHyperplane. 610 $aIdeal triangle. 610 $aIntersection (set theory). 610 $aInterval exchange transformation. 610 $aInverse function. 610 $aInverse limit. 610 $aIsometry group. 610 $aLattice (group). 610 $aLimit set. 610 $aLine segment. 610 $aLinear algebra. 610 $aLinear function. 610 $aLine?line intersection. 610 $aMain diagonal. 610 $aModular group. 610 $aMonotonic function. 610 $aMultiple (mathematics). 610 $aOrthant. 610 $aOuter billiard. 610 $aParallelogram. 610 $aParameter. 610 $aPartial derivative. 610 $aPenrose tiling. 610 $aPermutation. 610 $aPiecewise. 610 $aPolygon. 610 $aPolyhedron. 610 $aPolytope. 610 $aProduct topology. 610 $aProjective geometry. 610 $aRectangle. 610 $aRenormalization. 610 $aRhombus. 610 $aRight angle. 610 $aRotational symmetry. 610 $aSanity check. 610 $aScientific notation. 610 $aSemicircle. 610 $aSign (mathematics). 610 $aSpecial case. 610 $aSquare root of 2. 610 $aSubsequence. 610 $aSummation. 610 $aSymbolic dynamics. 610 $aSymmetry group. 610 $aTangent. 610 $aTetrahedron. 610 $aTheorem. 610 $aToy model. 610 $aTranslational symmetry. 610 $aTrapezoid. 610 $aTriangle group. 610 $aTriangle inequality. 610 $aTwo-dimensional space. 610 $aUpper and lower bounds. 610 $aUpper half-plane. 610 $aWithout loss of generality. 610 $aYair Minsky. 615 0$aHyperbolic spaces. 615 0$aSingularities (Mathematics) 615 0$aTransformations (Mathematics) 615 0$aGeometry, Plane. 676 $a516.9 700 $aSchwartz$b Richard Evan$0307636 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910781200003321 996 $aOuter billiards on kites$9230026 997 $aUNINA