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The Ellipse
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Download or read book The Ellipse written by Arthur Mazer and published by John Wiley & Sons. This book was released on 2011-09-26 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explores the development of the ellipse and presents mathematical concepts within a rich, historical context The Ellipse features a unique, narrative approach when presenting the development of this mathematical fixture, revealing its parallels to mankind's advancement from the Counter-Reformation to the Enlightenment. Incorporating illuminating historical background and examples, the author brings together basic concepts from geometry, algebra, trigonometry, and calculus to uncover the ellipse as the shape of a planet's orbit around the sun. The book begins with a discussion that tells the story of man's pursuit of the ellipse, from Aristarchus to Newton's successful unveiling nearly two millenniums later. The narrative draws insightful similarities between mathematical developments and the advancement of the Greeks, Romans, Medieval Europe, and Renaissance Europe. The author begins each chapter by setting the historical backdrop that is pertinent to the mathematical material that is discussed, equipping readers with the knowledge to fully grasp the presented examples and derive the ellipse as the planetary pathway. All topics are presented in both historical and mathematical contexts, and additional mathematical excursions are clearly marked so that readers have a guidepost for the materials' relevance to the development of the ellipse. The Ellipse is an excellent book for courses on the history of mathematics at the undergraduate level. It is also a fascinating reference for mathematicians, engineers, or anyone with a general interest in historical mathematics.
Download or read book The Ellipse written by Zakariyya Ishaq and published by CCB Publishing. This book was released on 2008-08 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Ellipse: The Fall and Rise of the Human Soul, Secrets of the Cosmos describes the cosmic laws of the universe ruling the reality of the human experience and the destiny of humanity. It is an in depth study of the spiritual science that is the source of all religion, and the cause of the human condition. The term ellipse which means imperfect circle, as opposed to the perfect circle, is the updated metaphor that replaces the traditional concepts of God and the devil, and good and evil as the human race evolves out of the age of mythology to the era of the merging of science and spirituality. This spiritual saga describes the inner and outer soul of the universe, the apocalypse, and the destiny of the human race. Delving deeper than any metaphysical writer of the past or present, the book reveals new insights about the fall of man and the soul's journey to its ultimate destiny in unraveling the mysteries of its existence. It also clarifies pervasive distortions and misconceptions within religion and metaphysics.
Book Synopsis Finding Ellipses: What Blaschke Products, Poncelet’s Theorem, and the Numerical Range Know about Each Other by : Ulrich Daepp
Download or read book Finding Ellipses: What Blaschke Products, Poncelet’s Theorem, and the Numerical Range Know about Each Other written by Ulrich Daepp and published by American Mathematical Soc.. This book was released on 2018 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematicians delight in finding surprising connections between seemingly disparate areas of mathematics. Whole domains of modern mathematics have arisen from exploration of such connections--consider analytic number theory or algebraic topology. Finding Ellipses is a delight-filled romp across a three-way unexpected connection between complex analysis, linear algebra, and projective geometry. The book begins with Blaschke products, complex-analytic functions that are generalizations of disk automorphisms. In the analysis of Blaschke products, we encounter, in a quite natural way, an ellipse inside the unit disk. The story continues by introducing the reader to Poncelet's theorem--a beautiful result in projective geometry that ties together two conics and, in particular, two ellipses, one circumscribed by a polygon that is inscribed in the second. The Blaschke ellipse and the Poncelet ellipse turn out to be the same ellipse, and the connection is illuminated by considering the numerical range of a $2 \times 2$ matrix. The numerical range is a convex subset of the complex plane that contains information about the geometry of the transformation represented by a matrix. Through the numerical range of $n \times n$ matrices, we learn more about the interplay between Poncelet's theorem and Blaschke products. The story ranges widely over analysis, algebra, and geometry, and the exposition of the deep and surprising connections is lucid and compelling. Written for advanced undergraduates or beginning graduate students, this book would be the perfect vehicle for an invigorating and enlightening capstone exploration. The exercises and collection of extensive projects could be used as an embarkation point for a satisfying and rich research project. You are invited to read actively using the accompanying interactive website, which allows you to visualize the concepts in the book, experiment, and develop original conjectures.
Book Synopsis The elements of the ellipse, together with the radii of curvature, &c. relating to that curve. To which is added, the first of dr. Matthew Stewart's Tracts by : James Adams (of Stonehouse, Plymouth.)
Download or read book The elements of the ellipse, together with the radii of curvature, &c. relating to that curve. To which is added, the first of dr. Matthew Stewart's Tracts written by James Adams (of Stonehouse, Plymouth.) and published by . This book was released on 1818 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Elements of the Ellipse, Together with the Radii of Curvature, &c. Relating to that Curve; and of Centripetal and Centrifugal Forces in Elliptical Orbits: to which is Added, the First of Dr. M. Stewart's Tracts. By James Adams by : James Adams
Download or read book The Elements of the Ellipse, Together with the Radii of Curvature, &c. Relating to that Curve; and of Centripetal and Centrifugal Forces in Elliptical Orbits: to which is Added, the First of Dr. M. Stewart's Tracts. By James Adams written by James Adams and published by . This book was released on 1818 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Grand Ellipse written by Paula Volsky and published by Spectra. This book was released on 2011-03-02 with total page 674 pages. Available in PDF, EPUB and Kindle. Book excerpt: Paula Volsky, author of The White Tribunal, returns with a spectacular saga of adventure and intrigue, romance and rebellion — beginning with a wondrous discovery that could forever alter the fate of the free world.... In the modern, civilized republic of Vonahr, the need for magic seems a thing of the past. But soon the Vonahrish will find that magic is their only hope — for an imperialistic race of fanatics, intent on conquering the world, now masses on Vonahr’s borders. Vonahr’s slim chance for salvation lies in a nearby neutral kingdom, where a brilliant savant has conjured up the ultimate weapon: Sentient Fire, a miraculous flame that responds to the command of its maker. Low Hetz’s mad, flamboyant king refuses to relinquish the secret — so the desperate government of Vonahr sends the exquisitely beautiful adventurer Luzelle Devaire to turn his head and change his mind. But to gain an audience, Luzelle must win the Grand Ellipse, a test of endurance, ingenuity, and valor....
Book Synopsis Analytic Geometry by : Isaac Albert Barnett
Download or read book Analytic Geometry written by Isaac Albert Barnett and published by . This book was released on 1928 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Plane Analytic Geometry by : Isaac Albert Barnett
Download or read book Plane Analytic Geometry written by Isaac Albert Barnett and published by . This book was released on 1926 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Algebraic Geometry by : William Meath Baker
Download or read book Algebraic Geometry written by William Meath Baker and published by . This book was released on 1911 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Ellipse Fitting for Computer Vision by : Margrit Betke
Download or read book Ellipse Fitting for Computer Vision written by Margrit Betke and published by Springer Nature. This book was released on 2022-05-31 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: Because circular objects are projected to ellipses in images, ellipse fitting is a first step for 3-D analysis of circular objects in computer vision applications. For this reason, the study of ellipse fitting began as soon as computers came into use for image analysis in the 1970s, but it is only recently that optimal computation techniques based on the statistical properties of noise were established. These include renormalization (1993), which was then improved as FNS (2000) and HEIV (2000). Later, further improvements, called hyperaccurate correction (2006), HyperLS (2009), and hyper-renormalization (2012), were presented. Today, these are regarded as the most accurate fitting methods among all known techniques. This book describes these algorithms as well implementation details and applications to 3-D scene analysis. We also present general mathematical theories of statistical optimization underlying all ellipse fitting algorithms, including rigorous covariance and bias analyses and the theoretical accuracy limit. The results can be directly applied to other computer vision tasks including computing fundamental matrices and homographies between images. This book can serve not simply as a reference of ellipse fitting algorithms for researchers, but also as learning material for beginners who want to start computer vision research. The sample program codes are downloadable from the website: https://sites.google.com/a/morganclaypool.com/ellipse-fitting-for-computer-vision-implementation-and-applications.
Book Synopsis On the Rectification and Quadrature of the Spherical Ellipse by : James Booth
Download or read book On the Rectification and Quadrature of the Spherical Ellipse written by James Booth and published by . This book was released on 1844 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Outlines of Astronomy by : Arthur Searle
Download or read book Outlines of Astronomy written by Arthur Searle and published by . This book was released on 1874 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Freehand Perspective and Sketching by : Dora Miriam Norton
Download or read book Freehand Perspective and Sketching written by Dora Miriam Norton and published by . This book was released on 1908 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Geometrical Conics by : Charles Smith
Download or read book Geometrical Conics written by Charles Smith and published by . This book was released on 1894 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Briot and Bouquet's Elements of Analytical Geometry of Two Dimensions by : Charles Briot
Download or read book Briot and Bouquet's Elements of Analytical Geometry of Two Dimensions written by Charles Briot and published by . This book was released on 1896 with total page 598 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An Introduction to Algebraical Geometry by : Alfred Clement Jones
Download or read book An Introduction to Algebraical Geometry written by Alfred Clement Jones and published by . This book was released on 1912 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematics for JEE (Main & Advanced) Volume 1 (Class XI) by Career Point, Kota by : Career Point Kota
Download or read book Mathematics for JEE (Main & Advanced) Volume 1 (Class XI) by Career Point, Kota written by Career Point Kota and published by Career Point Publication. This book was released on 2021-01-13 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics for JEE (Main & Advanced) Volume 1 (Class XI) has been designed in keeping with the needs and expectations of students appearing for JEE Main. Its coherent presentation and compatibility with the latest prescribed syllabus and pattern of JEE (as per the latest NTA notification) will prove extremely useful to JEE aspirants. Questions in this book are handpicked by experienced faculty members of Career Point to enhance the following skills of the students – 1. Understanding of concepts and their application to the grass-root level. 2. Improving their scoring ability & accuracy by providing an opportunity to practice a variety of questions. Features of Book are:- · 2500+ Questions with explanatory Solutions · Chapters according to NCERT · All Types of MCQs based on latest pattern · Previous Year Questions since 2005 · 3 Mock Tests for Final Touch
