Skip to content

Conversation

@AronT-TLV
Copy link
Member

This PR adds extensive quadrilateral documentation and mathematical analysis, particularly focusing on kite geometry and area calculations.

Documentation Enhancements

  • New Quadrilateral Section: Added comprehensive documentation in docs/src/Geometry/02 Quadrilaterals.md
  • Geometric Proofs: Added geometric proofs for kite and trapezoid area formulas
  • Updated Documentation Structure: Modified docs/make.jl to include quadrilateral documentation

Mathematical Analysis

  • Kite Geometry: Detailed analysis of kite properties, diagonal calculations, and area formulas
  • Area Calculation Methods: Implemented and compared multiple approaches:
    • Heron's formula method
    • Trigonometric method
    • Diagonal method (with analysis of limitations)
  • Trapezoid Examples: Added two comprehensive trapezoid calculation examples

Notebook Improvements

  • Enhanced Basics.ipynb: Added detailed kite and trapezoid calculations
  • Mathematical Rigor: Included geometric proofs and constraint analysis
  • Code Organization: Split complex calculations into clear, readable cells

Key Mathematical Insights

  • Kite Symmetry Analysis: Proven that only one pair of opposite angles are equal in a kite
  • Diagonal Method Limitations: Demonstrated why the diagonal method requires additional constraints
  • Comprehensive Validation: All area calculations validated using multiple independent methods

Testing & Validation

  • All mathematical formulas verified with concrete examples
  • Geometric proofs included for theoretical foundation
  • Multiple calculation methods cross-validated

This work significantly enhances the Math_Foundations project with rigorous quadrilateral geometry analysis and comprehensive documentation.

- add to make.jl file so it displays
- change hyperboila numbering
- add quadrilateral documebntation
- add example to notebook
- enhance quarilateral documentation
- add kite area and diagnol calculations ro notebook
- geometric proof of kite area formula
- geometric proof of trapezoid area formula
@AronT-TLV AronT-TLV merged commit 563cbb4 into main Sep 23, 2025
3 checks passed
@AronT-TLV AronT-TLV deleted the feature/quadrilaterals branch September 23, 2025 11:06
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment

Labels

None yet

Projects

None yet

Development

Successfully merging this pull request may close these issues.

2 participants