May 1, 2024
Updated May 12, 2025
17 minute read
Triangles, fundamental shapes in geometry, are polygons characterized by three sides, three angles, and three vertices. Their study forms a cornerstone of mathematics, offering a rich tapestry of properties, classifications, and applications that span numerous disciplines. From the ancient pyramids to modern technological advancements, triangles have played a pivotal role in our understanding and shaping of the world.
The allure of triangles lies not only in their geometric simplicity but also in their profound implications. Exploring the relationships between their sides and angles, a field known as trigonometry, unlocks the ability to measure vast distances, such as those between celestial bodies, and to design intricate structures with remarkable stability. Furthermore, the inherent rigidity of triangles makes them indispensable in engineering and architecture, ensuring the robustness of bridges and buildings. The world of computer graphics and design also heavily relies on triangles to create complex 3D models and realistic animations.
Introduction to Triangles
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Find a path to becoming a Triangles. Learn more at:
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Reading list
We've selected ten books
that we think will supplement your
learning. Use these to
develop background knowledge, enrich your coursework, and gain a
deeper understanding of the topics covered in
Triangles.
Is the classic work on geometry, written by Euclid around 300 BC. It includes a section on the geometry of triangles.
Comprehensive treatment of advanced Euclidean geometry, including the geometry of triangles.
Provides a comprehensive introduction to geometry, covering topics such as triangles, circles, polygons, and conic sections. It is written in a clear and concise style, and includes numerous exercises and examples.
Classic work on the geometry of triangles. It provides a thorough treatment of the subject, including many theorems and proofs.
Collection of challenging and enjoyable problems in geometry, including many problems involving triangles.
Classic work on the foundations of geometry. It includes a section on the geometry of triangles.
Covers a wide range of topics in geometric transformations, including the geometry of triangles.
Covers the basics of trigonometry, including the trigonometric functions, identities, and equations. It also includes a section on the geometry of triangles.
Covers a wide range of topics in analytic geometry and calculus, including the geometry of triangles.
Covers a wide range of topics in precalculus, including trigonometry, analytic geometry, and complex numbers. It includes a section on the geometry of triangles.
For more information about how these books relate to this course, visit:
OpenCourser.com/topic/3mw8gp/triangle