Introduction to Flat and Solid Geometry
()
About this ebook
The theoretical assumptions of the following mathematical topics are presented in this book:
plane geometry (elementary concepts and figures)
solid geometry
note to non-Euclidean geometries.
In addition, the main applications of these topics are mentioned and some exercises are carried out.
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.
Read more from Simone Malacrida
Introduction to Thermodynamics Rating: 0 out of 5 stars0 ratingsExercises of Trigonometry Rating: 0 out of 5 stars0 ratingsExercises of Integral Calculus Rating: 0 out of 5 stars0 ratingsExercises of Complex Numbers Rating: 0 out of 5 stars0 ratingsIntroduction to Logarithms and Exponentials Rating: 0 out of 5 stars0 ratingsIntroduction to Optics Rating: 0 out of 5 stars0 ratingsIntroduction to Complex Numbers Rating: 0 out of 5 stars0 ratingsHandbook of Advanced Mathematics Rating: 0 out of 5 stars0 ratingsO Livro da Matemática: Volume 1 Rating: 0 out of 5 stars0 ratingsExercises of Solid Geometry Rating: 0 out of 5 stars0 ratingsHandbook of Elementary Mathematics Rating: 0 out of 5 stars0 ratingsIntroduction to Analytical Geometry Rating: 0 out of 5 stars0 ratingsExercises of Partial Differential Equations Rating: 0 out of 5 stars0 ratingsExercises of Limits Rating: 0 out of 5 stars0 ratingsIntroduction to Nuclear and Particle Physics Rating: 0 out of 5 stars0 ratingsIntroduction to Equations and Disequations Rating: 0 out of 5 stars0 ratingsIntroduction to Matter Physics Rating: 0 out of 5 stars0 ratings
Related to Introduction to Flat and Solid Geometry
Related ebooks
Introduction to Flat and Solid Geometry Rating: 0 out of 5 stars0 ratingsExercises of Flat Geometry Rating: 0 out of 5 stars0 ratingsGeometry Rating: 0 out of 5 stars0 ratingsExercises of Advanced Analytical Geometry Rating: 0 out of 5 stars0 ratingsExercises of Basic Analytical Geometry Rating: 0 out of 5 stars0 ratingsIntroduction to Analytical Geometry Rating: 0 out of 5 stars0 ratingsExercises of Solid Geometry Rating: 0 out of 5 stars0 ratingsAnalytic Geometry Rating: 4 out of 5 stars4/5Introduction to Goniometry and Trigonometry Rating: 0 out of 5 stars0 ratingsMensuration Rating: 4 out of 5 stars4/5Descriptive Geometry: Unlocking the Visual Realm: Exploring Descriptive Geometry in Computer Vision Rating: 0 out of 5 stars0 ratingsThe Advanced Geometry of Plane Curves and Their Applications Rating: 0 out of 5 stars0 ratingsDifferential Geometry Rating: 0 out of 5 stars0 ratingsExercises of Differential Forms Rating: 0 out of 5 stars0 ratingsMedial Axis: Exploring the Core of Computer Vision: Unveiling the Medial Axis Rating: 0 out of 5 stars0 ratingsExercises of Goniometry Rating: 0 out of 5 stars0 ratingsIntroduction to Complex Numbers Rating: 0 out of 5 stars0 ratingsSpherical Trigonometry Rating: 0 out of 5 stars0 ratingsA Treatise on Spherical Trigonometry, and Its Application to Geodesy and Astronomy, with Numerous Examples Rating: 0 out of 5 stars0 ratingsAn Introduction to Differential Geometry - With the Use of Tensor Calculus Rating: 4 out of 5 stars4/5Analytical Geometry of Three Dimensions Rating: 4 out of 5 stars4/5Introduction to Kinematics Rating: 0 out of 5 stars0 ratingsFundamental Concepts of Geometry Rating: 4 out of 5 stars4/5The Elements of Euclid for the Use of Schools and Colleges (Illustrated) Rating: 0 out of 5 stars0 ratingsA First Course in Linear Algebra Rating: 0 out of 5 stars0 ratings4-d Graphical Representation Rating: 0 out of 5 stars0 ratingsGEOMETRY WITH THE EYES Rating: 0 out of 5 stars0 ratingsHigher Geometry: An Introduction to Advanced Methods in Analytic Geometry Rating: 0 out of 5 stars0 ratingsComplex Variables Rating: 5 out of 5 stars5/5Scientific Amusements Rating: 0 out of 5 stars0 ratings
Mathematics For You
My Best Mathematical and Logic Puzzles Rating: 5 out of 5 stars5/5Real Estate by the Numbers: A Complete Reference Guide to Deal Analysis Rating: 0 out of 5 stars0 ratingsThe Little Book of Mathematical Principles, Theories & Things Rating: 3 out of 5 stars3/5Algebra - The Very Basics Rating: 5 out of 5 stars5/5Standard Deviations: Flawed Assumptions, Tortured Data, and Other Ways to Lie with Statistics Rating: 4 out of 5 stars4/5Quantum Physics for Beginners Rating: 4 out of 5 stars4/5Calculus Made Easy Rating: 4 out of 5 stars4/5Basic Math & Pre-Algebra For Dummies Rating: 4 out of 5 stars4/5Flatland Rating: 4 out of 5 stars4/5The Thirteen Books of the Elements, Vol. 1 Rating: 0 out of 5 stars0 ratingsIs God a Mathematician? Rating: 4 out of 5 stars4/5The Everything Guide to Algebra: A Step-by-Step Guide to the Basics of Algebra - in Plain English! Rating: 4 out of 5 stars4/5Algebra I Workbook For Dummies Rating: 3 out of 5 stars3/5A Mind for Numbers | Summary Rating: 4 out of 5 stars4/5Mental Math Secrets - How To Be a Human Calculator Rating: 5 out of 5 stars5/5ACT Math & Science Prep: Includes 500+ Practice Questions Rating: 3 out of 5 stars3/5Precalculus: A Self-Teaching Guide Rating: 4 out of 5 stars4/5The Golden Ratio: The Divine Beauty of Mathematics Rating: 5 out of 5 stars5/5Game Theory: A Simple Introduction Rating: 4 out of 5 stars4/5Introducing Game Theory: A Graphic Guide Rating: 4 out of 5 stars4/5The Math Book: From Pythagoras to the 57th Dimension, 250 Milestones in the History of Mathematics Rating: 3 out of 5 stars3/5The Everything Everyday Math Book: From Tipping to Taxes, All the Real-World, Everyday Math Skills You Need Rating: 5 out of 5 stars5/5Algebra I For Dummies Rating: 4 out of 5 stars4/5Limitless Mind: Learn, Lead, and Live Without Barriers Rating: 4 out of 5 stars4/5The Elements of Euclid for the Use of Schools and Colleges (Illustrated) Rating: 0 out of 5 stars0 ratingsSee Ya Later Calculator: Simple Math Tricks You Can Do in Your Head Rating: 4 out of 5 stars4/5
Reviews for Introduction to Flat and Solid Geometry
0 ratings0 reviews
Book preview
Introduction to Flat and Solid Geometry - Simone Malacrida
Introduction to Flat and Solid Geometry
SIMONE MALACRIDA
The theoretical assumptions of the following mathematical topics are presented in this book:
plane geometry (elementary concepts and figures)
solid geometry
nod to non-Euclidean geometries.
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 – PLANE GEOMETRY: BASIC CONCEPTS
Definitions
Euclid's postulates
Other definitions
––––––––
II – PLANE GEOMETRY: FIGURES
Definitions
Circumference
Ellipse
Parable
Polygons: definitions
Triangle
Quadrilaterals
More polygons
Exercises z i
––––––––
III – SOLID GEOMETRY
Definitions
Sphere
Cone
Cylinder
Polyhedra: definitions
Pyramid
Prism
Exercises
––––––––
IV – NOTE ON NON-EUCLIDEAN GEOMETRIES
Introduction
Elliptical geometry
Spherical geometry
Hyperbolic geometry
Other non-Euclidean geometrics
INTRODUCTION
This book presents the main results of Euclidean geometry, declined in the form of plane geometry and solid geometry.
Like arithmetic and algebra, geometry represents one of the cornerstones of mathematical knowledge, necessary not only for understanding any sector of this discipline (analytical geometry, trigonometry, mathematical and functional analysis), but above all for solving concrete problems related to every aspect of science and human life.
Precisely because of the importance of geometry, the majority of the results presented in this manual were already known in antiquity, especially among the Greeks.
Each chapter will be accompanied by some final exercise. This manual is not a workbook and, precisely for this reason, you will not find hundreds of exercises.
The questions proposed were considered significant for understanding the main rules and for their application.
In addition, particular emphasis has been given to the method of solving them since the real leap in quality between the study of a rule and its application is given precisely by the method, i.e. by the quality of the reasoning, and not by the quantity of calculations.
The program presented in this manual expands what is taught in technical institutes and high schools, generally in the first two years, for the exposure of non-Euclidean geometries, usually omitted in the programmes.
I
PLANE GEOMETRY: BASIC CONCEPTS
Definitions
––––––––
Geometry is that branch of mathematics