From The Abridged Academy Song-book: For Use in Schools and Colleges By Charles Herbert Levermore, 1918:

SING TANGENT, CO-TANGENT
Words, F. Browning, '61 (Amherst)
Air, "Villikins and His Dinah"

1. There was a professor in New York did dwell.
His name it was Loomis. we know him quite well.
He wrote a big treatise on angles and lines,
With chapters on spheres, surveying, and sines.

CHORUS: Sing tangent, co-tangent, co-secant, co-sine,
Sing tangent, co-tangent, co-secant, co-sine!

2. Prof. Coffin, from cones cut by planes that passed through,
Made all kinds of figures that ever he knew,
Some round like an apple, some lengthened like eggs,
Some rounded like sand-hills, some pointed like pegs.

CHORUS: Sing origin, focus, directrix, and curve.

3. Old Robinson added the third of the three,
An algebra hard as the hardest could be,
With theorems difficult, problems like steel,
Intended of course for the students' good weal.

CHORUS: Sing Robinson, Horner, Prof. Napier, Sturm.

4. There was once a poor student in Amherst did dwell.
The first in his class, and all liked him right well;
He drank some cold conics, supposing 'twas wine,
And screeched, as he died, "I am choked by a sine!"

CHORUS: Sing tangent, etc.

5. Beware then of sines, now my classmates, I pray,
And follow not tangents, but a straightforward way;
And then by plain sailing your port shall be made,
In a harbor of rest, by no mortal surveyed.

CHORUS: Sing tangent, etc.