Proof: By Euclid

(related to Corollary: 6.19: Ratio of Areas of Similar Triangles)

This proposition follows immediately from the proof of Prop. 6.19, setting $a':=b,$ in which we have three segments with the lengths $a,b,b'$ in the proportions $\frac ab=\frac b{b'}.$


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References

Bibliography

  1. Piotrowski, Andreas: Own Research, 2014