MATH 427, Fall 2025
FOUNDATIONS OF GEOMETRY
(Euclidean and various non-Euclidean geometries
and their development from postulate systems.)

Syllabus - Extra credit problems

• HWA-06, due 11:15, Mon, Oct 6.
  • Read and understand: Chapters 6 and 7.
  • Read and think: Chapter 8.
  • Exercises: 6.7, 6.10, 7.4.
  • Constructions:
    • Tangent circle 3,
    • Tangent line 1,
    • Inscribed equilateral triangle,
    • Parallel line.
• HWA-05, due 11:15, Mon, Sep 29.
  • Read and understand: Chapters 5 and 6.
  • Read and think: Chapter 7.
  • Exercises: 5.21, 5.23b, 6.3.
  • Constructions:
    • Perpendicular 1,
    • Minimal sum 1,
    • Bisected perpendicular 1,
    • Bisected line.
• HWA-04, due 11:15, Mon, Sep 22.
  • Read and understand: Chapters 4 and 5.
  • Read and think: Chapter 6.
  • Exercises: 4.3, 4.8, 5.3.
  • Register at geogebra.org and do the following constructions.
    (Once you see "Well done", make a screenshot and upload it to CANVAS.)
    • Angle-side-angle,
    • Angle-side-side,
    • Segment bisection,
    • Center of circle.
• HWA-03, due 11:15, Mon, Sep 15.
  • Read and understand: Chapters 3.
  • Read and think: Chapter 4.
  • Exercises: 1.17, 3.3, 3.14, 3.15, 3.21.
• HWA-02, due 11:15, Mon, Sep 8.
  • Read and understand: Chapter 2.
  • Read and think: Chapter 3.
  • Exercises: 1.3(a), 1.15(a), 1.16, 2.5, 2.11, 2.9.
• HWA-01, due 11:15, Fri, Aug 29.
  • Read and understand: Chapter 1.
  • Read and think: Chapter 2.
  • Exercises: 1.2, 1.4, 1.5, 1.10, 1.13.
    (Scan to pdf and upload to CANVAS.)