國立高雄大學圖資館 |

Language: English

Back

All sides to an ovalproperties, para...

Borromini, Francesco, (1599-1667.)

All sides to an ovalproperties, parameters and Borromini's mysterious construction /

Record Type:	Electronic resources : Monograph/item
Title/Author:	All sides to an ovalby Angelo Alessandro Mazzotti.
Reminder of title:	properties, parameters and Borromini's mysterious construction /
Author:	Mazzotti, Angelo Alessandro.
Published:	Cham :Springer International Publishing :2019.
Description:	xiii, 190 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Geometry in architecture.
Online resource:	https://doi.org/10.1007/978-3-030-28810-5
ISBN:	9783030288105$q(electronic bk.)

All sides to an ovalproperties, parameters and Borromini's mysterious construction /
Mazzotti, Angelo Alessandro.

All sides to an ovalproperties, parameters and Borromini's mysterious construction /[electronic resource] :by Angelo Alessandro Mazzotti. - 2nd ed. - Cham :Springer International Publishing :2019. - xiii, 190 p. :ill., digital ;24 cm.

"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.

ISBN: 9783030288105$q(electronic bk.)

Standard No.: 10.1007/978-3-030-28810-5doiSubjects--Personal Names:

855750
Borromini, Francesco,
1599-1667.Subjects--Topical Terms:

257382
Geometry in architecture.

LC Class. No.: NA1123.B6 / M39 2019

Dewey Class. No.: 720.1

All sides to an ovalproperties, parameters and Borromini's mysterious construction /
LDR:03147nmm a2200325 a 4500 001 569654
003 DE-He213
005 20191110074246.0
006 m d
007 cr nn 008maaau
008 200723s2019 gw s 0 eng d
020 $a 9783030288105$q(electronic bk.)
020 $a 9783030288099$q(paper)
024 7 $a 10.1007/978-3-030-28810-5 $2 doi
035 $a 978-3-030-28810-5
040 $a GP $c GP
041 0 $a eng
050 4 $a NA1123.B6 $b M39 2019
072 7 $a PBM $2 bicssc
072 7 $a MAT012000 $2 bisacsh
072 7 $a PBM $2 thema
082 0 4 $a 720.1 $2 23
090 $a NA1123.B6 $b M478 2019
100 1 $a Mazzotti, Angelo Alessandro. $3 776001
245 1 0 $a All sides to an oval $h [electronic resource] : $b properties, parameters and Borromini's mysterious construction / $c by Angelo Alessandro Mazzotti.
250 $a 2nd ed.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2019.
300 $a xiii, 190 p. : $b ill., digital ; $c 24 cm.
520 $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.
600 1 0 $a Borromini, Francesco, $d 1599-1667. $3 855750
650 0 $a Geometry in architecture. $3 257382
650 0 $a Ovals in art. $3 855751
650 0 $a Ovals. $3 776002
650 1 4 $a Geometry. $3 183883
650 2 4 $a Mathematics in Art and Architecture. $3 558854
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
856 4 0 $u https://doi.org/10.1007/978-3-030-28810-5
950 $a Mathematics and Statistics (Springer-11649)