Theoretical / proof-based
Geometry · Undergraduate · Math
Topics
Axiomatic geometry and proofs
- Incidence geometry and betweenness axioms (Hilbert-style introduction)
- Triangle congruence theorems with full proofs
- Parallel postulate and its role in Euclidean geometry
- Neutral geometry and hyperbolic geometry (overview)
- Saccheri–Legendre theorem and angle-sum results (introduction)
Advanced Euclidean topics
- Ceva's and Menelaus's theorems (optional)
- Nine-point circle and Euler line (optional capstone)
- Inversion in a circle (introduction)
- Projective geometry: points at infinity and duality (preview)
- Geometric transformations as group actions (introduction)
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$1,162 · Geometry · 18 tutoring hrs
Study guides, worksheets, reviews, practice tests, and answer keys for 1 class. 18 tutoring hours (1 hr / week · semester). Bundle discount applied vs buying separately. Pay in full via Zelle or Venmo.