Explore Coordinate Geometry, covering This lecture provides an overview of geometry, covering its definition, historical development, basic shapes, and.
Topics Covered
Introduction to Geometry
History of Geometry
Basic Geometric Shapes
Points, Lines, and Planes
The Pythagorean Theorem
Congruence and Similarity
Introduction to Trigonometry
Trigonometric Ratios in Right Triangles
Case Study: Geometry in Engineering
Geometry in Computer Graphics
Angles: Types and Measurements
Triangles: Classification and Properties
Polygons: Definition and Types
Regular vs. Irregular Polygons
Applications of Trigonometry
Geometric Constructions: Compass and Straightedge
Geometry and Measurement
Using Geometry in Everyday Life
References
Euclid (300 BCE) Elements.
Descartes, R. (1637) Geometry.
OpenStax Geometry (2020) Chapter on Shapes.
CK-12 Foundation Geometry.
OpenStax (2016) Elementary Geometry for College Students. Boston: Cengage Learning.
OpenStax (2021) Trigonometry. OpenStax Math Resource.
Thomas, G.B. et al. (2014) Calculus and Analytic Geometry. 12th edn. Boston: Addison-Wesley.
CK-12 Foundation (2020) Trigonometric Ratios in Right Triangles. CK-12 Geometry.
Stewart, J. (2020) Essentials of Trigonometry. 9th edn. Belmont: Brooks/Cole.
Hearn, E.J. (1997) Mechanics of Materials. 2nd edn. Oxford: Butterworth-Heinemann.
Zienkiewicz, O.C. & Taylor, R.L. (2005) The Finite Element Method: Its Basis and Fundamentals. 6th edn. Elsevier.
Foley, J.D., van Dam, A., Feiner, S.K. & Hughes, J.F. (1996) Computer Graphics: Principles and Practice. 2nd edn. Addison-Wesley.
Glassner, A. (1989) An Introduction to Ray Tracing. Academic Press.
OpenStax (2021). Geometry. Available at: https://openstax.org
Khan Academy (2023). Triangles. Available at: https://www.khanacademy.org
Hilbert, D. (1899) Foundations of Geometry.
Khan Academy (2023) Real-World Trigonometry Applications.
OpenStax. Geometry Fundamentals (2023). Available online: https://openstax.org