"Conic Section Carol"

may be sung to the tune of "God Rest Ye Merry Gentlemen"
God rest ye merry ellipses,
And hyperbolas too!
Parabolas and circles,
All curves to degree two
Degenerate and involute
The mathematician's toy,
Oh sections of comfort and joy,
              comfort and joy, etc.

Oh symmetry and focuses
And fun directrices!
Both smooth and sharply pointed curves
Can have some vertices.
To prove this derivatives are such a clever ploy,
Oh sections of comfort and joy,
              comfort and joy, etc.