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This page is used to host some illustrations and animations for my schoolwork, there will not be any technical details provided.

How to read the proofs:

Problem

Let \(M\) be mid point of \(AB\), \(l\) go through \(M\) and intersect \(AC\) at \(N\).

Prove that \(N\) is the mid point of \(AC\).

Proof from model trained to reason up to 20 steps:

GIF proof:

Static proof:

Proof from model trained to reason up to 12 steps:

GIF proof:

Static proof:

Proof from model trained to reason up to 5 steps, with hint:

GIF proof:

Static proof:

 

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