Modern Geometry
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Spherical Trigonometry
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Plane and Spherical Trigonometry and Surveying
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Introduction to Geometry
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Introduction to Analytic Geometry
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Plane and Spherical Trigonometry and Surveying
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A Treatise On the Analytical Geometry of the Point, Line, Circle, and Conic Sections
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Modern Geometry
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Introduction to Geometry
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Space and Geometry in the Light of Physiological, Psychological and Physical Inquiry
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Lezioni di Geometria Proiettiva
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Urkunden zur Geschichte der Mathematik im Mittelalter und der Renaissance
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Notes On Stereotomy
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Scientific Romances
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Junior High School Mathematics
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Solution of Triangles
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A Treatise On the Analytical Geometry of the Point, Line, Circle, and Conic Sections
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Key to Milne’s Plane and Solid Geometry
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The Mathematical Questions Proposed in the Ladies’ Diary, and Their Original Answers
Notes On Roulettes and Glissettes
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CliffsNotes Geometry
Get the information you need-fast!CliffsNotes Quick Review course guides cover the essentials of your toughest classes. Get a firm grip on core concepts and key material, and test your newfound knowledge with review questions. Introducing each topic, defining key terms, and carefully walking you through each sample problem, these guides help you grasp and understand the important concepts needed to succeed.The essentials - FAST - from the experts at CliffsNotesComplete coverage of core conceptsEasy topic-by-topic organizationAccess hundreds of practice problems at www.cliffsnotes.comFrom planes, points, and postulates to squares, spheres, and slopes - and everything in between - CliffsNotes Geometry: Quick Review can help you make sense of it all. This guide introduces each topic, defines key terms, and walks you through each sample problem step-by-step. Begin with a review of fundamental ideas such as theorems, angles, and intersecting lines.In no time, you'll be ready to tackle the key concepts, such as: Triangles and polygons: Classifying and identifying; features and properties; the Triangle Inequality Theorem; the Midpoint Theorem; and morePerimeter and area: Parallelograms, trapezoids, regular polygons, circlesSimilarity: Ratio and proportion; properties of proportions; similar trianglesRight trianglesCircles: Central angles and arcs; inscribed angles; chords, secants, tangents; arc length, sectorsGeometric solids and coordinate geometryWith Review Questions, a Resource Center, and a Glossary.Why CliffsNotes?In plain words and useful formats, CliffsNotes Geometry: Quick Review provides an overview of geometry's essential concepts, so that you can use your study time efficiently. Use this reference in any way that fits your personal style for study and review-you decide what works best with your needs.With titles available for all the most popular high school and college courses, CliffsNotes Quick Review guides are a comprehensive resource that can help you get the best possible grades.Access 500 additional practice questions at www.cliffsnotes.comFrom the makers of the books you've known and trusted for years!
Plane Trigonometry, Part 1
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A Treatise On Mensuration
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Elements of Plane and Spherical Trigonometry, With its Applications to the Principles of Navigation and Nautical Astronomy; With the Logarithmic and Trigonometrical Tables
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The Elements of Euclid
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Elements of Geometry, After Legendre
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Introductory Modern Geometry of Point, Rsy, and Circle
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Plane Trigonometry, Part 1
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The Elements of Euclid
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Field Engineering
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Euclide’s Elements
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Euclide’s Elements
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Geometric Algebra
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Radix Mission
The book is in 3 chapters, the first looks at mathematical series and shows how we can get the sum of arithmetic and geometric series and how the theorem of series can be applied towards the solution of convergence and divergence. In the second chapter we look at the Newton expansion and how it can be used to accurately and quickly evaluate pi to high precision. We are introduced to the opensource GMP arbitrary precision package that massively quickens our calculations and we show how pi can be calculated to phenomenal accuracy very quickly on a modest pc. In the third chapter we look at regular convex polyhedra and we show why there are only 5 of such. we show how we can construct them from their base regular polygons. We show their visualisation in 3D design software.
Aspects of Differential Geometry V
Book V completes the discussion of the first four books by treating in some detail the analytic results in elliptic operator theory used previously. Chapters 16 and 17 provide a treatment of the techniques in Hilbert space, the Fourier transform, and elliptic operator theory necessary to establish the spectral decomposition theorem of a self-adjoint operator of Laplace type and to prove the Hodge Decomposition Theorem that was stated without proof in Book II. In Chapter 18, we treat the de Rham complex and the Dolbeault complex, and discuss spinors. In Chapter 19, we discuss complex geometry and establish the Kodaira Embedding Theorem.
Geometry - Intuition and Concepts
This book deals with the geometry of visual space in all its aspects. As in any branch of mathematics, the aim is to trace the hidden to the obvious; the peculiarity of geometry is that the obvious is sometimes literally before one's eyes.Starting from intuition, spatial concepts are embedded in the pre-existing mathematical framework of linear algebra and calculus. The path from visualization to mathematically exact language is itself the learning content of this book. This is intended to close an often lamented gap in understanding between descriptive preschool and school geometry and the abstract concepts of linear algebra and calculus. At the same time, descriptive geometric modes of argumentation are justified because their embedding in the strict mathematical language has been clarified.The concepts of geometry are of a very different nature; they denote, so to speak, different layers of geometric thinking: some arguments use only concepts such as point, straight line, and incidence, others require angles and distances, still others symmetry considerations. Each of these conceptual fields determines a separate subfield of geometry and a separate chapter of this book, with the exception of the last-mentioned conceptual field "symmetry", which runs through all the others: - Incidence: Projective geometry - Parallelism: Affine geometry - Angle: Conformal Geometry - Distance: Metric Geometry - Curvature: Differential Geometry - Angle as distance measure: Spherical and Hyperbolic Geometry - Symmetry: Mapping Geometry.The mathematical experience acquired in the visual space can be easily transferred to much more abstract situations with the help of the vector space notion. The generalizations beyond the visual dimension point in two directions: Extension of the number concept and transcending the three illustrative dimensions.This book is a translation of the original German 1st edition Geometrie - Anschauung und Begriffe by Jost-Hinrich Eschenburg, published by Springer Fachmedien Wiesbaden GmbH, part of Springer Nature in 2020. The translation was done with the help of artificial intelligence (machine translation by the service DeepL.com). A subsequent human revision was done primarily in terms of content, so that the book will read stylistically differently from a conventional translation. Springer Nature works continuously to further the development of tools for the production of books and on the related technologies to support the authors.
