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“A Mathematical Problem in Verse,” ca. 1793-1796

"Benjamin Banneker—Astronomer-City Planner" by Charles Henry Alston, 1943 (National Archives)

"Benjamin Banneker—Astronomer-City Planner" by Charles Henry Alston, 1943 (National Archives)

In these spirited lines composed as a brain-teaser for his supportive white friend George Ellicott, Banneker demonstrates his brilliance as a mathematician and his wit as a poet.

Benjamin Banneker, A Mathematical Problem in Verse, ca. 1793–1796

A Cooper and Vintner sat down for a talk,
Both being so groggy, that neither could walk,
Says Cooper to Vintner, “I’m the first of my trade,
There’s no kind of vessel, but what I have made,
And of any shape, Sir,—just what you will,—
And of any size, Sir,—from a ton to a gill!”
“Then,” says the Vintner, “you’re the man for me,—
Make me a vessel, if we can agree.
The top and the bottom diameter define,
To bear that proportion as fifteen to nine;
Thirty-five inches are just what I crave,
No more and no less, in the depth, will I have;
Just thirty-nine gallons this vessel must hold,—
Then I will reward you with silver or gold,—
Give me your promise, my honest old friend?”
“I’ll make it to-morrow, that you may depend!”
So the next day the Cooper his work to discharge,
Soon made the new vessel, but made it too large;—
He took out some staves, which made it too small,
And then cursed the vessel, the Vintner and all.
He beat on his breast, “By the Powers!”—he swore,
He never would work at his trade any more?
Now my worthy friend, find out, if you can,
The vessel’s dimensions and comfort the man!

Benjamin Banneker

 

Source: Benjamin Banneker, “A Mathematical Problem in Verse” (ca. 1793 1796), in A Sketch of the Life of Benjamin Banneker; From Notes Taken in 1836. Read by J. Saurin Norris, before the Maryland Historical Society, October 5th, 1854 (Maryland Historical Society, [1854]), p. 20.

Benjamin Banneker, A Mathematical Problem in Verse, ca. 1793–1796

A Cooper and Vintner sat down for a talk,
Both being so groggy, that neither could walk,
Says Cooper to Vintner, “I’m the first of my trade,
There’s no kind of vessel, but what I have made,
And of any shape, Sir, —just what you will,—
And of any size, Sir, —from a ton to a gill!”
“Then,” says the Vintner, “you’re the man for me, —
Make me a vessel, if we can agree.
The top and the bottom diameter define,
To bear that proportion as fifteen to nine;
Thirty-five inches are just what I crave,
No more and no less, in the depth, will I have;
Just thirty-nine gallons this vessel must hold, —
Then I will reward you with silver or gold, —
Give me your promise, my honest old friend?”
“I’ll make it to-morrow, that you may depend!”
So the next day the Cooper his work to discharge,
Soon made the new vessel, but made it too large; —
He took out some staves, which made it too small,
And then cursed the vessel, the Vintner and all.
He beat on his breast, “By the Powers!” — he swore,
He never would work at his trade any more?
Now my worthy friend, find out, if you can,
The vessel’s dimensions and comfort the man!

 

Source: Benjamin Banneker, “A Mathematical Problem in Verse” (ca. 1793 1796), in A Sketch of the Life of Benjamin Banneker; From Notes Taken in 1836. Read by J. Saurin Norris, before the Maryland Historical Society, October 5th, 1854 (Maryland Historical Society, [1854]), p. 20.

Background

In these spirited lines composed as a brain-teaser for his supportive white friend George Ellicott, Banneker demonstrates his brilliance as a mathematician and his wit as a poet.

Transcript

Benjamin Banneker, A Mathematical Problem in Verse, ca. 1793–1796

A Cooper and Vintner sat down for a talk,
Both being so groggy, that neither could walk,
Says Cooper to Vintner, “I’m the first of my trade,
There’s no kind of vessel, but what I have made,
And of any shape, Sir,—just what you will,—
And of any size, Sir,—from a ton to a gill!”
“Then,” says the Vintner, “you’re the man for me,—
Make me a vessel, if we can agree.
The top and the bottom diameter define,
To bear that proportion as fifteen to nine;
Thirty-five inches are just what I crave,
No more and no less, in the depth, will I have;
Just thirty-nine gallons this vessel must hold,—
Then I will reward you with silver or gold,—
Give me your promise, my honest old friend?”
“I’ll make it to-morrow, that you may depend!”
So the next day the Cooper his work to discharge,
Soon made the new vessel, but made it too large;—
He took out some staves, which made it too small,
And then cursed the vessel, the Vintner and all.
He beat on his breast, “By the Powers!”—he swore,
He never would work at his trade any more?
Now my worthy friend, find out, if you can,
The vessel’s dimensions and comfort the man!

Benjamin Banneker

 

Source: Benjamin Banneker, “A Mathematical Problem in Verse” (ca. 1793 1796), in A Sketch of the Life of Benjamin Banneker; From Notes Taken in 1836. Read by J. Saurin Norris, before the Maryland Historical Society, October 5th, 1854 (Maryland Historical Society, [1854]), p. 20.

Excerpt

Benjamin Banneker, A Mathematical Problem in Verse, ca. 1793–1796

A Cooper and Vintner sat down for a talk,
Both being so groggy, that neither could walk,
Says Cooper to Vintner, “I’m the first of my trade,
There’s no kind of vessel, but what I have made,
And of any shape, Sir, —just what you will,—
And of any size, Sir, —from a ton to a gill!”
“Then,” says the Vintner, “you’re the man for me, —
Make me a vessel, if we can agree.
The top and the bottom diameter define,
To bear that proportion as fifteen to nine;
Thirty-five inches are just what I crave,
No more and no less, in the depth, will I have;
Just thirty-nine gallons this vessel must hold, —
Then I will reward you with silver or gold, —
Give me your promise, my honest old friend?”
“I’ll make it to-morrow, that you may depend!”
So the next day the Cooper his work to discharge,
Soon made the new vessel, but made it too large; —
He took out some staves, which made it too small,
And then cursed the vessel, the Vintner and all.
He beat on his breast, “By the Powers!” — he swore,
He never would work at his trade any more?
Now my worthy friend, find out, if you can,
The vessel’s dimensions and comfort the man!

 

Source: Benjamin Banneker, “A Mathematical Problem in Verse” (ca. 1793 1796), in A Sketch of the Life of Benjamin Banneker; From Notes Taken in 1836. Read by J. Saurin Norris, before the Maryland Historical Society, October 5th, 1854 (Maryland Historical Society, [1854]), p. 20.

Related Resources

Benjamin Banneker, from the title page of  "Benjamin Bannaker's [sic] Pennsylvania, Delaware, Maryland, and Virginia Almanac, for the Year of Our Lord 1795" (Maryland Historical Society)

Benjamin Banneker

Scientist, mathematician, and author who challenged racial prejudices

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