Proof: By Euclid

(related to Corollary: Square as a Special Case of a Rhombus)

This follows immediately from Prop. 1.46, and the definitions of a square and a rhombus.


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References

Adapted from CC BY-SA 3.0 Sources:

  1. Callahan, Daniel: "Euclid’s 'Elements' Redux" 2014

Adapted from (Public Domain)

  1. Casey, John: "The First Six Books of the Elements of Euclid"