LEADER 00967nam0 2200253 450 001 000023334 005 20090220113341.0 100 $a20090220d1919----km-y0itay50------ba 101 0 $aeng 102 $aUS 105 $aa-------001yy 200 1 $a<>study of map projections in general$fby Oscar S. Adams 210 $aWashington$cGovt. print. off.$d1919 215 $a24 p.$cill.$d22 cm 225 2 $aSpecial publication of US Department of Commerce, US Coast and Geodetic Survey$v113 410 0$12001$aSpecial publication of US Department of Commerce, US Coast and Geodetic Survey 500 10$a<>study of map projections in general$946388 676 $a526.8$v20$9Geografia matematica. Proiezioni cartografiche 700 1$aAdams,$bOscar Sherman$0632849 801 0$aIT$bUNIPARTHENOPE$c200900218$gRICA$2UNIMARC 912 $a000023334 951 $aS 526.8/4$bS 20$cDSA$d2009 996 $aStudy of map projections in general$946388 997 $aUNIPARTHENOPE LEADER 04721nam 22005175 450 001 9910360853303321 005 20250609112046.0 010 $a3-030-28810-2 024 7 $a10.1007/978-3-030-28810-5 035 $a(CKB)4100000009836402 035 $a(DE-He213)978-3-030-28810-5 035 $a(MiAaPQ)EBC5976152 035 $a(PPN)248604708 035 $a(MiAaPQ)EBC5975532 035 $a(EXLCZ)994100000009836402 100 $a20191110d2019 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aAll Sides to an Oval $eProperties, Parameters and Borromini's Mysterious Construction /$fby Angelo Alessandro Mazzotti 205 $a2nd ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (XIII, 190 p. 154 illus., 149 illus. in color.) 311 08$a3-030-28809-9 327 $aPreface to the 2nd edition.-Introduction.-Properties of a polycentric oval.-Four Centre Ovals -- Ruler/Compass constructions of simple ovals -- Ovals with given symmetry axis lines -- Ovals with unknown axis lines.-Inscribing and circumscribing ovals ? The frame problem -- The stadium problem and the running track -- Parameter formulas for simple ovals and applications -- Parameter formulas for simple ovals -- Limitations for the frame problem -- Measuring a four-centre oval -- Concentric Ovals - Possible Equations and Geogebra Representations of an Oval.-Optimisation problems for ovals -- Ovals with 4n centres -- Remarkable four-centre ovals -- Borromini's Ovals in the Dome of San Carlo alle Quattro Fontane in Rome.-Ovals with 4n Centres: the Ground Plan of the Colosseum and the Neuilly Bridge Arches.-Appendix.-References.-Acknowledgements. . 330 $a?The book is an original, interesting and opportune contribution to an area not contemplated in geometry courses.? (Mathematical Reviews Clippings) ?Angelo Mazzotti?s All Sides to an Oval is a fundamental book for anyone working with oval forms from the point of view of the geometric control of the shapes.? (Nexus Netw J) ?We think that the reader, whatever his or her academic background, will enjoy the logical sequence of the reasoning, the drawings, and the clarity of language in this book.? (The Mathematical Intelligencer) This is the second edition of the only book dedicated to the Geometry of Polycentric Ovals. It includes problem solving constructions and mathematical formulas. For anyone interested in drawing or recognizing an oval, this book gives all the necessary construction, representation and calculation tools. More than 30 basic construction problems are solved, with references to Geogebra animation videos, plus the solution to the Frame Problem and solutions to the Stadium Problem. A chapter (co-written with Margherita Caputo) is dedicated to totally new hypotheses on the project of Borromini?s oval dome of the church of San Carlo alle Quattro Fontane in Rome. Another one presents the case study of the Colosseum as an example of ovals with eight centres as well as the case study of Perronet?s Neuilly bridge, a half oval with eleven centres. The primary audience is: architects, graphic designers, industrial designers, architecture historians, civil engineers; moreover, the systematic way in which the book is organised could make it a companion to a textbook on descriptive geometry or on CAD. Added features in the 2nd edition include: the revised hypothesis on Borromini?s project for the dome of the church of San Carlo alle Quattro Fontane in Rome, an insight into the problem of finding a single equation to represent a four-centre oval, a suggestion for a representation of a four-centre oval using Geogebra, formulas for parameters of ovals with more than 4 centres and the case study of the eleven-centre half-oval arch used to build the XVIII century Neuilly bridge in Paris. 606 $aGeometry 606 $aMathematics 606 $aGeometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21006 606 $aMathematics in Art and Architecture$3https://scigraph.springernature.com/ontologies/product-market-codes/M34000 615 0$aGeometry. 615 0$aMathematics. 615 14$aGeometry. 615 24$aMathematics in Art and Architecture. 676 $a516 676 $a720.1 700 $aMazzotti$b Angelo Alessandro$4aut$4http://id.loc.gov/vocabulary/relators/aut$0906919 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910360853303321 996 $aAll Sides to an Oval$92028761 997 $aUNINA