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Hilbert's Approach to Congruence

Topics in Hilbert's Approach to Congruence

Numbered in the order to learn them.

  1. Hilbert's Segment Congruence Axioms

  2. Hilbert's Angle Congruence Axioms

  3. Hilbert's Approach to Congruence: What Is an Equivalence Relation?

  4. Hilbert's Foundations: Segment Congruence Is an Equivalence Relation

  5. Hilbert's Foundations: Congruence of Sums of Segments

  6. Hilbert's Foundations: Congruence of Differences of Segments

  7. Hilbert's Foundations: The Less-Than Relation on Segments

  8. Hilbert's Foundations: Angle Congruence Is an Equivalence Relation

  9. Hilbert's Foundations: The Less-Than Relation on Angles

  10. Hilbert's Foundations: Proving the Congruent Supplements Theorem

  11. Hilbert's Foundations: Congruence of Sums of Angles

  12. Hilbert's Foundations: Proving the Vertical Angle Theorem

  13. Hilbert's Foundations: Congruence of Differences of Angles

  14. Euclid's and Hilbert's Treatments of Right Angles

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