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That appears to be constructed in order to deceive though. Someone who was thinking about a problem and drawing something would always with a drawing like that
by dagss 2y ago
That appears to be constructed in order to deceive though.
Someone who was thinking about a problem and drawing something would always with a drawing like that either intend the angle to be the same, or otherwise highlight the fact that one triangles is 8/3 and the other is 5/2 so that the slope is obviously not the same.
Good visual proofs simply use lines and figures to talk about actual algebra instead of symbols; but every outcome is still in a sense algebraic -- like the one linked and the popular about Pythagoras. Once you pull our your ruler and measure you are obviously lost. Every result should be algebraic, not visual, but it's fine to express the algebra in figures instead of letters.
- dagss 2y agoAnd, if you intend to deceive, there are many examples of solid looking written algebraic proofs that 1 = 2. That doesn't disqualify written proofs...