A **Maximal arc** in a finite projective plane is a largest possible (*k*,*d*)-arc in that projective plane. If the finite projective plane has order *q* (there are *q*+1 points on any line), then for a maximal arc, *k*, the number of points of the arc, is the maximum possible (= *qd* + *d* - *q*) with the property that no *d*+1 points of the arc lie on the same line.

Read more about Maximal Arc: Definition, Properties, Partial Geometries

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### Famous quotes containing the word arc:

“You say that you are my judge; I do not know if you are; but take good heed not to judge me ill, because you would put yourself in great peril.”

—Joan Of *Arc* (c.1412–1431)

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