Definition: Supplemental Angles

If a segment \(\overline{AC}\) stands on another segment \(\overline{DB}\), like shown in the following figure:

Fig5p1p4

then the formed angles \(\angle{BAC}\) and \(\angle{CAD}\) are called supplemental.

Axioms: 1
Corollaries: 2 3 4
Proofs: 5


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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"