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Elementary College Geometry by Henry Africk




Elementary College Geometry - Table of Contents

  • 1. Lines, Angles, and Triangles
  • 2. Congruent Triangles
  • 3. Quadrilaterals
  • 4. Similar Triangles
  • 5. Trigonometry of the Right Triangle
  • 6. Area and Perimeter
  • 7. Regular Polygons and Circles
  • Appendix A: Values of Trigonometric Functions

What You Will Learn in Elementary College Geometry

Elementary College Geometry by Henry Africk provides an accessible and structured approach to foundational mathematics, tailored specifically for students with a basic background in high school algebra. Designed as a comprehensive open-educational resource, this textbook simplifies complex concepts through intuitive visual reasoning, clear geometric diagrams, and step-by-step worked examples rather than dense, overly formal proofs. It offers a clear pathway to mastering introductory plane geometry concepts with clarity and confidence.

The core curriculum systematically covers essential topics including lines, angles, congruent triangles, circles, polygons, and area calculations. By emphasizing practical geometry problem-solving techniques for college students, Africk builds mathematical confidence through a carefully structured sequence. The inclusion of paired practice exercises allows learners to reinforce key concepts independently, making this textbook an ideal resource for both structured classroom environments and self-paced study programs.

Unlike traditional theoretical texts, this open textbook prioritizes pedagogical clarity and practical application. It serves as an exceptional free geometry textbook for one-semester college courses, standardized teacher preparation programs, or adult self-study. Ultimately, Africk’s text establishes a solid foundation in spatial reasoning and deductive logic, equipping students with the essential skills required for advanced mathematical courses.

Book Details & Specifications

Title: Elementary College Geometry by Henry Africk
Publisher: Brooks/Cole
Year: 2013
Pages: 376
Type: PDF
Language: English
ISBN-10 #: 0759341907
ISBN-13 #: 978-0759341906
License: CC BY-NC-SA 4.0
Amazon: Amazon

About the Author: Henry Africk

The author Henry Africk is a distinguished professor in the Department of Mathematics at the New York City College of Technology (CUNY). Recognized for his student-centered approach to college geometry instruction, he focuses on making core mathematical foundations approachable through visual clarity and intuitive reasoning rather than overwhelming abstraction.

Through his open educational works, Africk demonstrates a deep commitment to effective higher education mathematics teaching. His structured explanations and practical exercise sets provide a seamless transition for undergraduate students advancing into higher-level logical thinking and spatial analysis.


Free Elementary Geometry Books PDF - Basic Geometry Library

Solid Geometry - Slaught & Lennes | Free PDF Download
Download Solid Geometry Problems and Applications by Herbert Ellsworth Slaught in PDF. Master 3D geometric principles and proofs with clear examples.
A Text-Book of Geometry - Wentworth & Smith | Free PDF
Download Plane Geometry by Wentworth & Smith in PDF. A high school geometry textbook covering lines, angles, triangles, polygons, and circle theorems.
Elementary Geometry Practical & Theoretical - Godfrey | PDF
Download Elementary Geometry Practical & Theoretical by C. Godfrey PDF. Master classic geometric constructions and proofs with clear examples.
A Concise Geometry - Clement Durell | Free PDF Download
Download A Concise Geometry by Clement V. Durell in PDF. This is well-organized geometry text for high school students.
Plane Geometry - Wentworth & Smith | Free PDF Download
Download Plane Geometry by George Wentworth & David E. Smith in free PDF. Features rectilinear figures, circles, polygons, areas, and classic proofs.

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