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Adds complete ellipse documentation to the Geometry section

Documentation:

  • New docs/src/Geometry/05 Ellipses.md with comprehensive coverage
  • Definition, standard form, midpoint equation derivations
  • Key parameters: eccentricity, foci, relationships
  • Parametric and polar forms
  • Geometric properties: area, perimeter approximations, curvature
  • Applications, construction methods, historical notes
  • Derivations moved to appendix for cleaner main content

Notebook:

  • Added ellipse examples to Basics.ipynb

Dependencies:

  • Added GeometryBasics.jl to module

Copilot Instructions:

  • Clarified LaTeX display block formatting rules for Documenter.jl

- Add docs/src/Geometry/05 Ellipses.md with complete ellipse coverage
  * Definition, standard/translated equations
  * Key parameters: eccentricity, foci, relationships
  * Parametric and polar forms
  * Area, perimeter approximations, curvature
  * Directrix, reflective properties
  * Applications in astronomy, engineering, optics, nature
  * Construction methods and historical notes
- Fix all LaTeX display blocks to attach 82485 directly to content (no newlines)
- Apply consistent styling: bullet points start with text, equations inline with 'where:'
- Update docs/make.jl to include Ellipses in Geometry section
- Add critical Documenter.jl LaTeX formatting rules to copilot-instructions.md
  * 82485 blocks must not have blank lines between delimiters and content
  * Bullet points must start with text before LaTeX
  * Prefer inline equations with 'where:' followed by list
…tting rules

Ellipse documentation:
- Add detailed derivation of standard form using Pythagorean theorem
- Add Parts of an Ellipse section with all terminology
- Add Midpoint Equation section with full algebraic derivation
- Add Circle as Special Case derivation
- Expand Summary Characteristics section
- Fix subscript notation in LaTeX equations

Copilot instructions:
- Clarify that multi-line aligned blocks are allowed in $$ display
- Show correct example with newlines inside aligned block
- Emphasize no BLANK lines between $$ and content (not no newlines at all)
- Move Standard Form and Midpoint Equation derivations to Appendix section
- Streamline main content for better readability
- Keep derivations available for reference at end of document
- Add ellipse plotting example to Basics.ipynb
- Add GeometryBasics.jl dependency to module
- Minor documentation edits to ellipse page
@AronT-TLV AronT-TLV merged commit 695f909 into main Dec 5, 2025
3 checks passed
@AronT-TLV AronT-TLV deleted the feature/add-ellipse-documentation branch December 6, 2025 14:59
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2 participants