Geometry
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Points, lines, and planes
This topic introduces the basic conceptual tools that underpin our journey through Euclidean geometry. These include the ideas of points, lines, line segments, rays, and planes.
Introduction to Euclidean geometry
Roughly 2400 years ago, Euclid of Alexandria wrote Elements which served as the world's geometry textbook until recently. Studied by Abraham Lincoln in order to sharpen his mind and truly appreciate mathematical deduction, it is still the basis of what we consider a first year course in geometry.
This tutorial gives a bit of this background and then lays the conceptual foundation of points, lines, circles and planes that we will use as we journey through the world of Euclid.
- Euclid as the Father of Geometry
- Language and Notation of Basic Geometry
- Lines, Line Segments, and Rays
- Measuring segments
- Points, lines, and planes
- Identifying Rays
- Recognizing rays lines and line segments
- Congruent segments
- Segment addition
- Midpoint of a segment
- Language and Notation of the Circle
- The Golden Ratio