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Results tagged with geometry
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user 1317694
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
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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. …
5
votes
3
answers
776
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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 …
2
votes
1
answer
140
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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 …