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Corollary: Diagonals of a Rhombus

(related to Proposition: 1.34: Opposite Sides and Opposite Angles of Parallelograms)

The diagonals of a rhombus bisect its angles and intersect at right angles:

• \(\angle{BAC}\) is double the size of \(\angle{BAE}\).
• \(\angle{DBA}\) is double the size of \(\angle{DBE}\).
• \(\beta=\angle{BED}=90^\circ\).

Table of Contents

Proofs: 1

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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"