
Schaum's Outline of Geometry, 5th Edition
Description
Alles über E-Books | Antworten auf Fragen rund um E-Books, Kopierschutz und Dateiformate finden Sie in unserem Info- & Hilfebereich.
More details
Other editions
Additional editions

Content
- Cover
- SCHAUM'S outline Geometry
- Copyright Page
- CD Page
- Preface to the First Edition
- Introduction
- Contents
- CHAPTER 1 Lines, Angles, and Triangles
- 1.1 Historical Background of Geometry
- 1.2 Undefined Terms of Geometry: Point, Line, and Plane
- 1.3 Line Segments
- 1.4 Circles
- 1.5 Angles
- 1.6 Triangles
- 1.7 Pairs of Angles
- CHAPTER 2 Methods of Proof
- 2.1 Proof By Deductive Reasoning
- 2.2 Postulates (Assumptions)
- 2.3 Basic Angle Theorems
- 2.4 Determining the Hypothesis and Conclusion
- 2.5 Proving a Theorem
- CHAPTER 3 Congruent Triangles
- 3.1 Congruent Triangles
- 3.2 Isosceles and Equilateral Triangles
- CHAPTER 4 Parallel Lines, Distances, and Angle Sums
- 4.1 Parallel Lines
- 4.2 Distances
- 4.3 Sum of the Measures of the Angles of a Triangle
- 4.4 Sum of the Measures of the Angles of a Polygon
- 4.5 Two New Congruency Theorems
- CHAPTER 5 Parallelograms, Trapezoids, Medians, and Midpoints
- 5.1 Trapezoids
- 5.2 Parallelograms
- 5.3 Special Parallelograms: Rectangle, Rhombus, and Square
- 5.4 Three or More Parallels
- Medians and Midpoints
- CHAPTER 6 Circles
- 6.1 The Circle
- Circle Relationships
- 6.2 Tangents
- 6.3 Measurement of Angles and Arcs in a Circle
- CHAPTER 7 Similarity
- 7.1 Ratios
- 7.2 Proportions
- 7.3 Proportional Segments
- 7.4 Similar Triangles
- 7.8 Mean Proportionals in a Right Triangle
- 7.9 Pythagorean Theorem
- 7.10 Special Right Triangles
- CHAPTER 8 Trigonometry
- 8.1 Trigonometric Ratios
- 8.2 Angles of Elevation and Depression
- CHAPTER 9 Areas
- 9.1 Area of a Rectangle and of a Square
- 9.2 Area of a Parallelogram
- 9.3 Area of a Triangle
- 9.4 Area of a Trapezoid
- 9.5 Area of a Rhombus
- 9.6 Polygons of the Same Size or Shape
- 9.7 Comparing Areas of Similar Polygons
- CHAPTER 10 Regular Polygons and the Circle
- 10.1 Regular Polygons
- 10.2 Relationships of Segments in Regular Polygons of 3, 4, and 6 Sides
- 10.3 Area of a Regular Polygon
- 10.4 Ratios of Segments and Areas of Regular Polygons
- 10.5 Circumference and Area of a Circle
- 10.6 Length of an Arc
- Area of a Sector and a Segment
- 10.7 Areas of Combination Figures
- CHAPTER 11 Locus
- 11.1 Determining a Locus
- 11.2 Locating Points by Means of Intersecting Loci
- 11.3 Proving a Locus
- CHAPTER 12 Analytic Geometry
- 12.1 Graphs
- 12.2 Midpoint of a Segment
- 12.3 Distance Between Two Points
- 12.4 Slope of a Line
- 12.5 Locus in Analytic Geometry
- 12.6 Areas in Analytic Geometry
- 12.7 Proving Theorems with Analytic Geometry
- CHAPTER 13 Inequalities and Indirect Reasoning
- 13.1 Inequalities
- 13.2 Indirect Reasoning
- CHAPTER 14 Improvement of Reasoning
- 14.1 Definitions
- 14.2 Deductive Reasoning in Geometry
- 14.3 Converse, Inverse, and Contrapositive of a Statement
- 14.4 Partial Converse and Partial Inverse of a Theorem
- 14.5 Necessary and Sufficient Conditions
- CHAPTER 15 Constructions
- 15.1 Introduction
- 15.2 Duplicating Segments and Angles
- 15.3 Constructing Bisectors and Perpendiculars
- 15.4 Constructing a Triangle
- 15.5 Constructing Parallel Lines
- 15.6 Circle Constructions
- 15.7 Inscribing and Circumscribing Regular Polygons
- 15.8 Constructing Similar Triangles
- CHAPTER 16 Proofs of Important Theorems
- 16.1 Introduction
- 16.2 The Proofs
- CHAPTER 17 Extending Plane Geometry into Solid Geometry
- 17.1 Solids
- 17.2 Extensions to Solid Geometry
- 17.3 Areas of Solids: Square Measure
- 17.4 Volumes of Solids: Cubic Measure
- CHAPTER 18 Transformations
- 18.1 Introduction to Transformations
- 18.2 Transformation Notation
- 18.3 Translations
- 18.4 Reflections
- 18.5 Rotations
- 18.6 Rigid Motions
- 18.7 Dihilations
- CHAPTER 19 Non-Euclidean Geometry
- 19.1 The Foundations of Geometry
- 19.2 The Postulates of Euclidean Geometry
- 19.3 The Fifth Postulate Problem
- 19.4 Different Geometries
- Formulas for Reference
- Answers to Supplementary Problems
- Index
- Download
System requirements
File format: ePUB
Copy protection: Adobe-DRM (Digital Rights Management)
System requirements:
- Computer (Windows; MacOS X; Linux): Install the free reader Adobe Digital Editions prior to download (see eBook Help).
- Tablet/smartphone (Android; iOS): Install the free app Adobe Digital Editions or the app PocketBook before downloading (see eBook Help).
- E-reader: Bookeen, Kobo, Pocketbook, Sony, Tolino and many more (not Kindle).
The file format ePub works well for novels and non-fiction books – i.e., „flowing” text without complex layout. On an e-reader or smartphone, line and page breaks automatically adjust to fit the small displays.
This eBook uses Adobe-DRM, a „hard” copy protection. If the necessary requirements are not met, unfortunately you will not be able to open the eBook. You will therefore need to prepare your reading hardware before downloading.
Please note: We strongly recommend that you authorise using your personal Adobe ID after installation of any reading software.
For more information, see our ebook Help page.
File format: PDF
Copy-Protection: Adobe-DRM (Digital Rights Management)
System requirements:
- Computer (Windows; MacOS X; Linux): Install the free reader Adobe Digital Editions prior to download (see eBook Help).
- Tablet/smartphone (Android; iOS): Install the free app Adobe Digital Editions or the app PocketBook before downloading (see eBook Help).
- E-reader: Bookeen, Kobo, Pocketbook, Sony, Tolino and many more (only limited: Kindle).
The file format PDF always displays a book page identically on any hardware. This makes PDF suitable for complex layouts such as those used in textbooks and reference books (images, tables, columns, footnotes). Unfortunately, on the small screens of e-readers or smartphones, PDFs are rather annoying, requiring too much scrolling.
This eBook uses Adobe-DRM, a „hard” copy protection. If the necessary requirements are not met, unfortunately you will not be able to open the eBook. You will therefore need to prepare your reading hardware before downloading.
Please note: We strongly recommend that you authorise using your personal Adobe ID after installation of any reading software.
For more information, see our eBook Help page.