Thales Theorem Proof and short discussion of Metric Space

First, short discussion of Metric Space along with Illusion and Reality. Then, prove Thales Theorem. We used algebra and geometry, and axioms and other theorems to support the work. Concluding, with a suggestion that local events could be simplified by proportion.

Can skip discussion without loss of generality to: 10 : 30.

We reference a paper titled: Is visually perceived space a metric space?

By A. CASANOVA, J. DA SILVAI, N. RIBEIRO-FILHO AND J. SANTILLÁN