By name: geometry description: Shapes, spaces, and spatial relations license: MIT compatibility: opencode metadata: audience: mathematicians category: mathematics
What I do
- Analyze Euclidean geometry and proofs
- Calculate areas and volumes of geometric shapes
- Apply trigonometric relationships
- Work with conic sections (ellipse, parabola, hyperbola)
- Use coordinate geometry and transformations
- Apply non-Euclidean geometry concepts
When to use me
When solving spatial problems, geometric proofs, or coordinate system calculations.
Key Concepts
- Pythagorean Theorem: a² + b² = c² for right triangles
- Area Formulas: Triangle = ½bh, Circle = πr², Sphere = 4πr²
- Trigonometry: sin²θ + cos²θ = 1, law of sines, law of cosines
- Conic Sections: Circle, ellipse, parabola, hyperbola from plane intersections
- Transformations: Translation, rotation, reflection, scaling
- Vector Cross Product: |a × b| = |a||b|sinθ gives area of parallelogram