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geometry

Shapes, spaces, and spatial relations

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Repository
ffsshhttiikk/opencode-agents-skills
Last source activity
February 28, 2026 at 22:51
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SKILL.md
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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
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