Hall and Knight
or ‘z + b + x = y + b + z’
When he was young his cousins used to say of Mr Knight
‘This boy will write an algebra – or looks as if he might.’
And sure enough, when Mr Knight had grown to be a man,
He purchased pen and paper and an inkpot, and began.
But he very soon discovered that he couldn’t write at all,
And his heart was filled with yearnings for a certain Mr Hall;
Till, after many years of doubt, he sent his friend a card
‘Have tried to write an Algebra, but find it very hard.’
Now Mr Hall himself had tried to write a book for schools,
But suffered from a handicap, he didn’t know the rules.
So when he heard from Mr Knight and understood his gist,
He answered him by telegram ‘Delighted to assist.’
So Mr Hall and Mr Knight they took a house together,
And they worked away at algebra in any kind of weather,
Determined not to give up until they had evolved
A problem so constructed that it never could be solved.
‘How hard it is’, said Mr Knight, ‘to hide the fact from youth
That x and y are equal it is such an obvious truth!’
‘It is’, said Mr Hall, ‘but if we gave a b to each,
We’d put the problem well beyond our little victims’ reach.
‘Or are you anxious, Mr Knight, lest any boy should see
The utter superfluity of this repeated b.’
‘I scarcely fear it’, he replied, and scratched this grizzled head,
‘But perhaps it would be safer if to b we added z.’
‘A brilliant stroke!’, said Hall, and added z to either side;
Then looked at his accomplice with a flush of happy pride.
And Knight, he winked at Hall (a very pardonable lapse).
And they printed off the Algebra and sold it to the chaps.
– E. V. Rieu
Henry Sinclair Hall and Samuel Ratcliff Knight wrote a series of algebra textbooks in the second half of the 1800s. The one specifically known as ‘Hall & Knight’ was probably Higher Algebra, first published in 1887. I can’t find out anything else about Hall or Knight, so I don’t know how accurate the characterisations in the poem are, or even if Knight was a mathematician and Hall a writer. I suspect the characters are gentle, respectful caricatures with little basis in the real people.
E. V. Rieu (1887–1972) was the founding editor of Penguin Classics, one of the most important projects in modern publishing.
The equation that is described in the poem and forms the subtitle of the poem is of course a trivial x = y, which can’t really be disguised no matter what tricks you pull. I suspect it doesn’t really appear in the textbooks.