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For questions about geometric shapes, congruences, similarities, transformations, as well as the properties of classes of figures, points, lines, and angles.

0 votes
0 answers
56 views

How to Introduce Proof by Contradiction in the 2-Column Format

My question arises from the fact that we now have two different ways of constructing proofs, which include the 2-Column proof, which is seen in many geometry proofs. …
Rrasco88's user avatar
  • 295
5 votes
3 answers
776 views

Difficulties with Set-Notation in Taxicab Geometry

The textbook I use introduced the Taxicab "circle" using the set-notation, $$\{P\mid d_{T}(P,A)=1\}.$$ as the set of points, such that the distance between all the points and the center is equal to $1 …
Rrasco88's user avatar
  • 295
2 votes
1 answer
140 views

Help Revising a 2-Column Proof for Euclid's Elements I.7

This is my working 2-column proof for Book 1 Proposition 7. I would be remiss in saying that this is completely foolproof. One question is how we are to formulate a proof by contradiction within the s …
Rrasco88's user avatar
  • 295