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    Introduction to Analytical Geometry
    Introduction to Analytical Geometry
    Introduction to Analytical Geometry
    Ebook47 pages13 minutes

    Introduction to Analytical Geometry

    By Simone Malacrida

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    About this ebook

    The theoretical assumptions of the following mathematical topics are presented in this book:
    Cartesian plane
    segments, distances, and lines in the Cartesian plane
    parabolas, circumferences, ellipses, hyperbolas in the Cartesian plane
    proper and improper bundles in the Cartesian plane
    In addition, the main applications of these topics are mentioned and some exercises are carried out.

    LanguageEnglish
    PublisherSimone Malacrida
    Release dateDec 16, 2022
    ISBN9798215017401
    Introduction to Analytical Geometry
    Author

    Simone Malacrida

    Simone Malacrida (1977) Ha lavorato nel settore della ricerca (ottica e nanotecnologie) e, in seguito, in quello industriale-impiantistico, in particolare nel Power, nell'Oil&Gas e nelle infrastrutture. E' interessato a problematiche finanziarie ed energetiche. Ha pubblicato un primo ciclo di 21 libri principali (10 divulgativi e didattici e 11 romanzi) + 91 manuali didattici derivati. Un secondo ciclo, sempre di 21 libri, è in corso di elaborazione e sviluppo.

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      Book preview

      Introduction to Analytical Geometry - Simone Malacrida

      Introduction to Analytical Geometry

      SIMONE MALACRIDA

      The theoretical assumptions of the following mathematical topics are presented in this book:

      Cartesian plane

      segments, distances, and lines in the Cartesian plane

      parabolas, circumferences, ellipses, hyperbolas in the Cartesian plane

      proper and improper bundles in the Cartesian plane

      In addition, the main applications of these topics are mentioned and some exercises are carried out.

      Simone Malacrida (1977)

      Engineer and writer, has worked on research, finance, energy policy and industrial plants.

      ANALYTICAL INDEX

      ––––––––

      INTRODUCTION

      ––––––––

      I – THE CARTESIAN PLANE

      Definitions

      Translation and distance

      Practical applications

      Exercises

      ––––––––

      II – THE LINE IN THE CARTESIAN PLANE

      Definitions

      Property

      Exercises

      ––––––––

      III – THE PARABLE IN THE CARTESIAN PLANE

      Definitions

      Property

      Exercises

      IV – THE OTHER CONICS IN THE CARTESIAN PLANE

      Circumference

      Ellipse

      Hyperbole

      General considerations on conics

      Exercises

      INTRODUCTION

      This book presents the main results of analytic geometry, intended as an application of Euclidean geometry set in the Cartesian plane.

      The conceptual evolution of analytic geometry, with respect to normal geometry, is such as to be able to begin a path which, starting from the study of polynomial functions, leads to the graphic resolution of transcendental functions (such as

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