Geometry Explained
Geometry is the mathematics of space itself — not the space "out there" in the universe, but the space you're sitting in right now. The space between your eyes and this screen. The shape of the room around you.
Here's what nobody tells you in math class: geometry isn't about memorizing formulas for triangles. It's about understanding why space has rules at all. Why can't you tile a floor with regular pentagons? Why do bubbles form spheres? Why does the shortest path between two points have to be a straight line — and what happens when it isn't?
Every shape you've ever seen is geometry's answer to a question about space.
The Series
What Is Geometry? The Mathematics of Space and Shape
Geometry studies shapes sizes positions and dimensions - from triangles to topology
Points Lines and Planes: The Building Blocks of Space
Points have position lines have length planes have area - the primitives of geometry
Angles: Measuring the Space Between Lines
Angles measure rotation between lines - degrees or radians
Triangles: The Simplest Polygon and the Strongest Shape
Triangles are rigid and fundamental - all polygons can be divided into triangles
The Pythagorean Theorem: a² + b² = c² and Why It Matters
The Pythagorean theorem relates right triangle sides - the most famous equation in geometry
Circles: The Shape of Constant Distance
Circles are all points equidistant from center - π connects circumference to diameter
Area and Perimeter: Measuring Two-Dimensional Space
Area measures surface perimeter measures boundary - different formulas for different shapes
Volume and Surface Area: Three-Dimensional Measurement
Volume measures space inside surface area measures the outside - cubes spheres cylinders
Coordinate Geometry: Where Algebra Meets Geometry
Coordinate geometry uses numbers to describe shapes - equations for lines and curves
Synthesis: Geometry as the Mathematics of Space
Geometry reveals the structure of space itself - from Euclid to Einstein
This is the hub page for the Geometry series.
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