Author: J. W. Downs
Publisher: Courier Corporation
ISBN: 0486148882
Category : Mathematics
Languages : en
Pages : 116
Book Description
Using examples from everyday life, this text studies ellipses, parabolas, and hyperbolas. Explores their ancient origins and describes the reflective properties and roles of curves in design applications. 1993 edition. Includes 98 figures.
Practical Conic Sections
Author: J. W. Downs
Publisher: Courier Corporation
ISBN: 0486148882
Category : Mathematics
Languages : en
Pages : 116
Book Description
Using examples from everyday life, this text studies ellipses, parabolas, and hyperbolas. Explores their ancient origins and describes the reflective properties and roles of curves in design applications. 1993 edition. Includes 98 figures.
Publisher: Courier Corporation
ISBN: 0486148882
Category : Mathematics
Languages : en
Pages : 116
Book Description
Using examples from everyday life, this text studies ellipses, parabolas, and hyperbolas. Explores their ancient origins and describes the reflective properties and roles of curves in design applications. 1993 edition. Includes 98 figures.
Practical Conic Sections
Author: J. W. Downs
Publisher: Courier Corporation
ISBN: 9780486428765
Category : Mathematics
Languages : en
Pages : 116
Book Description
Illustrated with interesting examples from everyday life, this text shows how to create ellipses, parabolas, and hyperbolas. It also presents historical background on their ancient origins and describes the reflective properties and roles of curves in design applications. Only a basic knowledge of plane geometry needed. 1993 edition. Includes 98 figures.
Publisher: Courier Corporation
ISBN: 9780486428765
Category : Mathematics
Languages : en
Pages : 116
Book Description
Illustrated with interesting examples from everyday life, this text shows how to create ellipses, parabolas, and hyperbolas. It also presents historical background on their ancient origins and describes the reflective properties and roles of curves in design applications. Only a basic knowledge of plane geometry needed. 1993 edition. Includes 98 figures.
Practical Conic Sections
Author: John W. Downs
Publisher: Turtleback
ISBN: 9780613906524
Category :
Languages : en
Pages :
Book Description
NULL
Publisher: Turtleback
ISBN: 9780613906524
Category :
Languages : en
Pages :
Book Description
NULL
Analytical Conics
Author: Barry Spain
Publisher: Courier Corporation
ISBN: 0486457737
Category : Mathematics
Languages : en
Pages : 164
Book Description
This concise text introduces students to analytical geometry, covering basic ideas and methods. Readily intelligible to any student with a sound mathematical background, it is designed both for undergraduates and for math majors. It will prove particularly valuable in preparing readers for more advanced treatments. The text begins with an overview of the analytical geometry of the straight line, circle, and the conics in their standard forms. It proceeds to discussions of translations and rotations of axes, and of the general equation of the second degree. The concept of the line at infinity is introduced, and the main properties of conics and pencils of conics are derived from the general equation. The fundamentals of cross-ratio, homographic correspondence, and line-coordinates are explored, including applications of the latter to focal properties. The final chapter provides a compact account of generalized homogeneous coordinates, and a helpful appendix presents solutions to many of the examples.
Publisher: Courier Corporation
ISBN: 0486457737
Category : Mathematics
Languages : en
Pages : 164
Book Description
This concise text introduces students to analytical geometry, covering basic ideas and methods. Readily intelligible to any student with a sound mathematical background, it is designed both for undergraduates and for math majors. It will prove particularly valuable in preparing readers for more advanced treatments. The text begins with an overview of the analytical geometry of the straight line, circle, and the conics in their standard forms. It proceeds to discussions of translations and rotations of axes, and of the general equation of the second degree. The concept of the line at infinity is introduced, and the main properties of conics and pencils of conics are derived from the general equation. The fundamentals of cross-ratio, homographic correspondence, and line-coordinates are explored, including applications of the latter to focal properties. The final chapter provides a compact account of generalized homogeneous coordinates, and a helpful appendix presents solutions to many of the examples.
Geometri?eskie svojstva krivyh vtorogo porâdka
Author: Arseny V. Akopyan
Publisher: American Mathematical Soc.
ISBN: 9780821884324
Category : Mathematics
Languages : en
Pages : 148
Book Description
"Geometry Of Conics deals with the properties of conics (plane curves of second degree) that can be formulated and proved using only elementary geometry. Starting with the well-known optical properties of conics, this book moves to less trivial results, both classical and contemporary. It demonstrates the advantage of purely geometric methods of studying conics."--Publisher's website.
Publisher: American Mathematical Soc.
ISBN: 9780821884324
Category : Mathematics
Languages : en
Pages : 148
Book Description
"Geometry Of Conics deals with the properties of conics (plane curves of second degree) that can be formulated and proved using only elementary geometry. Starting with the well-known optical properties of conics, this book moves to less trivial results, both classical and contemporary. It demonstrates the advantage of purely geometric methods of studying conics."--Publisher's website.
Practical Conic Sections
Author: J. W. Downs
Publisher:
ISBN: 9780866516280
Category : Conic sections
Languages : en
Pages : 0
Book Description
Deriving ellipses - Deriving Hyperbolas - Deriving Parabolas - Directing circle - Conic curves_
Publisher:
ISBN: 9780866516280
Category : Conic sections
Languages : en
Pages : 0
Book Description
Deriving ellipses - Deriving Hyperbolas - Deriving Parabolas - Directing circle - Conic curves_
The Stanford Mathematics Problem Book
Author: George Polya
Publisher: Courier Corporation
ISBN: 048631832X
Category : Mathematics
Languages : en
Pages : 82
Book Description
Based on Stanford University's well-known competitive exam, this excellent mathematics workbook offers students at both high school and college levels a complete set of problems, hints, and solutions. 1974 edition.
Publisher: Courier Corporation
ISBN: 048631832X
Category : Mathematics
Languages : en
Pages : 82
Book Description
Based on Stanford University's well-known competitive exam, this excellent mathematics workbook offers students at both high school and college levels a complete set of problems, hints, and solutions. 1974 edition.
Lines and Curves
Author: Victor Gutenmacher
Publisher: Springer Science & Business Media
ISBN: 1475738099
Category : Mathematics
Languages : en
Pages : 166
Book Description
Broad appeal to undergraduate teachers, students, and engineers; Concise descriptions of properties of basic planar curves from different perspectives; useful handbook for software engineers; A special chapter---"Geometry on the Web"---will further enhance the usefulness of this book as an informal tutorial resource.; Good mathematical notation, descriptions of properties of lines and curves, and the illustration of geometric concepts facilitate the design of computer graphics tools and computer animation.; Video game designers, for example, will find a clear discussion and illustration of hard-to-understand trajectory design concepts.; Good supplementary text for geometry courses at the undergraduate and advanced high school levels
Publisher: Springer Science & Business Media
ISBN: 1475738099
Category : Mathematics
Languages : en
Pages : 166
Book Description
Broad appeal to undergraduate teachers, students, and engineers; Concise descriptions of properties of basic planar curves from different perspectives; useful handbook for software engineers; A special chapter---"Geometry on the Web"---will further enhance the usefulness of this book as an informal tutorial resource.; Good mathematical notation, descriptions of properties of lines and curves, and the illustration of geometric concepts facilitate the design of computer graphics tools and computer animation.; Video game designers, for example, will find a clear discussion and illustration of hard-to-understand trajectory design concepts.; Good supplementary text for geometry courses at the undergraduate and advanced high school levels
Edmond Halley’s Reconstruction of the Lost Book of Apollonius’s Conics
Author: Michael N. Fried
Publisher: Springer Science & Business Media
ISBN: 1461401461
Category : Mathematics
Languages : en
Pages : 134
Book Description
Apollonius’s Conics was one of the greatest works of advanced mathematics in antiquity. The work comprised eight books, of which four have come down to us in their original Greek and three in Arabic. By the time the Arabic translations were produced, the eighth book had already been lost. In 1710, Edmond Halley, then Savilian Professor of Geometry at Oxford, produced an edition of the Greek text of the Conics of Books I-IV, a translation into Latin from the Arabic versions of Books V-VII, and a reconstruction of Book VIII. The present work provides the first complete English translation of Halley’s reconstruction of Book VIII with supplementary notes on the text. It also contains 1) an introduction discussing aspects of Apollonius’s Conics 2) an investigation of Edmond Halley's understanding of the nature of his venture into ancient mathematics, and 3) an appendices giving a brief account of Apollonius’s approach to conic sections and his mathematical techniques. This book will be of interest to students and researchers interested in the history of ancient Greek mathematics and mathematics in the early modern period.
Publisher: Springer Science & Business Media
ISBN: 1461401461
Category : Mathematics
Languages : en
Pages : 134
Book Description
Apollonius’s Conics was one of the greatest works of advanced mathematics in antiquity. The work comprised eight books, of which four have come down to us in their original Greek and three in Arabic. By the time the Arabic translations were produced, the eighth book had already been lost. In 1710, Edmond Halley, then Savilian Professor of Geometry at Oxford, produced an edition of the Greek text of the Conics of Books I-IV, a translation into Latin from the Arabic versions of Books V-VII, and a reconstruction of Book VIII. The present work provides the first complete English translation of Halley’s reconstruction of Book VIII with supplementary notes on the text. It also contains 1) an introduction discussing aspects of Apollonius’s Conics 2) an investigation of Edmond Halley's understanding of the nature of his venture into ancient mathematics, and 3) an appendices giving a brief account of Apollonius’s approach to conic sections and his mathematical techniques. This book will be of interest to students and researchers interested in the history of ancient Greek mathematics and mathematics in the early modern period.
A Treatise on Conic Sections
Author: George Salmon
Publisher:
ISBN:
Category : Conic sections
Languages : en
Pages : 448
Book Description
Publisher:
ISBN:
Category : Conic sections
Languages : en
Pages : 448
Book Description