Euclid: The Elements•Grade 7•dialectic Stage
The First Proof
The Text
What You'll Learn
1
Comprehension
Identifies the datum (given: "finite right line AB") and quaesitum (sought: "equilateral triangle")
2
Cause & Consequence
Explains why circles are used: by Definition XXXII, "all right lines drawn from" the centre "to the circumference are equal"
3
Meaning
Articulates what makes this a proof: "building certain knowledge from agreed-upon foundations" rather than just claiming
4
Defense
Explains why the counterargument has merit
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- 1.Read the text carefully
- 2.Answer the tutor's questions in your own words
- 3.Progress through each stage as you demonstrate understanding
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