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Geometry: Inscribed Angles
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CC BY-NC-SA
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This geometry lesson shows that that an inscribed angle is half of a central angle that subtends the same arc. [Geometry playlist: Lesson 24 of 31]

Subject:
Geometry
Mathematics
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Salman Khan
Date Added:
02/20/2011
Introduction to Arithmetic Geometry
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CC BY-NC-SA
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This course is an introduction to arithmetic geometry, a subject that lies at the intersection of algebraic geometry and number theory. Its primary motivation is the study of classical Diophantine problems from the modern perspective of algebraic geometry.

Subject:
Algebra
Geometry
Mathematics
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Sutherland, Andrew
Date Added:
09/01/2013
Geometry and Measurement Games
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These games support student development of spatial sense and foster familiarity with the mathematical vocabulary of geometry.

Subject:
Geometry
Mathematics
Material Type:
Game
Provider:
Mathwire
Author:
Terry Kawas
Date Added:
02/16/2011
Geometry
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CC BY-NC-SA
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Students engage in a competitive group relay to construct formal proofs involving triangles.

New proofs can always be written to fit different curriculum and pacing.

Subject:
Mathematics
Material Type:
Activity/Lab
Assessment
Game
Date Added:
10/21/2018
Computational Geometry
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CC BY-NC-SA
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Topics in surface modeling: b-splines, non-uniform rational b-splines, physically based deformable surfaces, sweeps and generalized cylinders, offsets, blending and filleting surfaces. Non-linear solvers and intersection problems. Solid modeling: constructive solid geometry, boundary representation, non-manifold and mixed-dimension boundary representation models, octrees. Robustness of geometric computations. Interval methods. Finite and boundary element discretization methods for continuum mechanics problems. Scientific visualization. Variational geometry. Tolerances. Inspection methods. Feature representation and recognition. Shape interrogation for design, analysis, and manufacturing. Involves analytical and programming assignments.
This course was originally offered in Course 13 (Department of Ocean Engineering) as 13.472J. In 2005, ocean engineering subjects became part of Course 2 (Department of Mechanical Engineering), and this course was renumbered 2.158J.

Subject:
Applied Science
Computer Science
Engineering
Geometry
Mathematics
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Maekawa, Takashi
Patrikalakis, Nicholas
Date Added:
02/01/2003
Geometry
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CC BY-SA
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In the first part of this video, we review the idea of flat space and the Pythagorean theorem. The second part of the video reviews ideas from trigonometry including the unit circle, sine, cosine, and pi. We conclude with a proof of an angle-sum identity.

Subject:
Geometry
Mathematics
Material Type:
Lecture Notes
Provider:
Look At Physics
Provider Set:
A Mathematical Way to Think About Biology
Author:
David Liao
Date Added:
10/08/2011
Elementary College Geometry
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This text is intended for a brief introductory course in plane geometry. It covers the topics from elementary geometry that are most likely to be required for more advanced mathematics courses. The only prerequisite is a semester of algebra.

The emphasis is on applying basic geometric principles to the numerical solution of problems. For this purpose the number of theorems and definitions is kept small. Proofs are short and intuitive, mostly in the style of those found in a typical trigonometry or precalculus text. There is little attempt to teach theorem-proving or formal methods of reasoning. However the topics are ordered so that they may be taught deductively.

The problems are arranged in pairs so that just the odd-numbered or just the even-numbered can be assigned. For assistance, the student may refer to a large number of completely worked-out examples. Most problems are presented in diagram form so that the difficulty of translating words into pictures is avoided. Many problems require the solution of algebraic equations in a geometric context. These are included to reinforce the student's algebraic and numerical skills, A few of the exercises involve the application of geometry to simple practical problems. These serve primarily to convince the student that what he or she is studying is useful. Historical notes are added where appropriate to give the student a greater appreciation of the subject.

This book is suitable for a course of about 45 semester hours. A shorter course may be devised by skipping proofs, avoiding the more complicated problems and omitting less crucial topics.

Subject:
Geometry
Mathematics
Material Type:
Textbook
Provider:
CUNY Academic Works
Provider Set:
New York City College of Technology
Author:
Henry Africk
Date Added:
01/01/2013
Geometry of Manifolds
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CC BY-NC-SA
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Geometry of Manifolds analyzes topics such as the differentiable manifolds and vector fields and forms. It also makes an introduction to Lie groups, the de Rham theorem, and Riemannian manifolds.

Subject:
Algebra
Geometry
Mathematics
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Mrowka, Tomasz
Date Added:
09/01/2004
Geometry - Basic (Student's Edition)
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CK-12's Basic Geometry FlexBook is designed to present students with geometric principles in a simpler, more graphics-oriented course. Students will explore geometry at a slower pace with an emphasis placed on visual aids and approachability.

Subject:
Geometry
Mathematics
Material Type:
Textbook
Provider:
CK-12 Foundation
Provider Set:
CK-12 FlexBook
Author:
Cifarelli, Victor
Farbizio, Annamaria (Editor)
Gloag, Andrew
Greenberg, Dan
Jordan, Lori
Sconyers, Jim
Zahner, Bill
Date Added:
10/11/2010
Geometry (Teacher's Edition)
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CC BY-NC-SA
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CK-12 Geometry Teacher's Edition covers tips, common errors, enrichment, differentiated instruction and problem solving for teaching CK-12 Geometry Student Edition. The solution and assessment guides are available upon request.

Subject:
Geometry
Mathematics
Material Type:
Textbook
Provider:
CK-12 Foundation
Provider Set:
CK-12 FlexBook
Author:
Kershaw, Jem
Kramer, Melissa
Zwack, Teresa
Date Added:
06/25/2011
CK-12 Geometry Concepts
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CC BY-NC-SA
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Includes chapters on: Basics of Geometry, Reasoning and Proof, Parallel and Perpendicular Lines, Triangles and Congruence, Relationships with Triangles, Polygons and Quadrilaterals, Similarity, Right Triangle Trigonometry, Circles, Perimeter and Area, Surface Area and Volume, Rigid Transformations.

Subject:
Geometry
Mathematics
Material Type:
Textbook
Provider:
CK-12 Foundation
Date Added:
10/15/2014
Geometry Angles
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CC BY-NC-ND
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In this lesson, students will how to name angles, measure and classify angles, identify congruent angles, and how to find angle measures using Angle Addition Postulate.

Subject:
Geometry
Mathematics
Material Type:
Lesson
Author:
Elizabeth Wanderscheid
Date Added:
07/07/2020
Area of a triangle (Coordinate Geometry)
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An interactive applet and associated web page that calculate the area of a triangle using the formula method in coordinate geometry. The applet has a triangle with draggable vertices. As you drag them the triangle's area is recalculated from the vertex coordinates using the formula. The grid and coordinates can be turned on and off. The area calculation can be turned off to permit class exercises and then turned back on the verify the answers. The applet can be printed as it appears on the screen to make handouts. The web page has a full description of the method for determining area using the formula method, a worked example and has links to other pages relating to coordinate geometry. Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.

Subject:
Geometry
Mathematics
Material Type:
Reading
Simulation
Provider:
Math Open Reference
Author:
John Page
Date Added:
02/16/2011
Introduction to Axiomatic Geometry
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CC BY-NC-ND
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This book presents Euclidean Geometry and was designed for a one-semester course preparing junior and senior level college students to teach high school Geometry. The book could also serve as a text for a junior level Introduction to Proofs course.

Subject:
Geometry
Mathematics
Material Type:
Textbook
Provider:
Ohio University Open Faculty Textbooks
Author:
Mark Barsamian
Date Added:
10/16/2020
Seminar in Geometry
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CC BY-NC-SA
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In this course, students take turns in giving lectures. For the most part, the lectures are based on Robert Osserman's classic book A Survey of Minimal Surfaces, Dover Phoenix Editions. New York: Dover Publications, May 1, 2002. ISBN: 0486495140.

Subject:
Algebra
Calculus
Geometry
Mathematics
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Carberry, Emma
Date Added:
09/01/2004
Perpendicular lines. (Coordinate Geometry)
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An interactive applet and associated web page that show how to determine of one line is perpendicular to another in coordinate geometry. The principle used is that if two lines a re perpendicular to each other the slope of one is the negative reciprocal of the other. The applet shows to lines that the user can move. The slopes are continuously calculated as you drag them, and if the they are parallel they change color. The calculation is shown on screen updated continuously as you drag. The grid, axis pointers and coordinates can be turned on and off. The calculation display can be turned off to permit class exercises and then turned back on the verify the answers. The applet can be printed as it appears on the screen to make handouts. The web page has a full description of the concept of perpendicularity, a worked example and has links to other pages relating to coordinate geometry. Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.

Subject:
Geometry
Mathematics
Material Type:
Reading
Simulation
Provider:
Math Open Reference
Author:
John Page
Date Added:
02/16/2011
Isoperimetric Geometry
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Some Rights Reserved
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This article is about the isoperimetric theorem. It states the theorem, explains its history and uses examples and exercises to demonstrate it. The resource is from PUMAS - Practical Uses of Math and Science - a collection of brief examples created by scientists and engineers showing how math and science topics taught in K-12 classes have real world applications.

Subject:
Geometry
Geoscience
Mathematics
Physical Science
Material Type:
Lecture
Provider:
NASA
Provider Set:
NASA Wavelength
Date Added:
11/05/2014