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Problems from Another Time

Individual problems from throughout mathematics history, as well as articles that include problem sets for students.

A rifle ball is fired through a three-inch plank, the resistance of which causes an unknown constant retardation of its velocity.
What is the value of X...
As for a square piece of land that amounts to 100 square cubits, if it is said to you, "Cause it to make a piece of land that amounts to 100 square cubits that is round," what is the required diameter?
On a day in spring a boy has gathered cherry blossoms under a cherry tree. Nearby a poet is reading some of his poems aloud. As he reads, the boy counts out the cherry blossoms, one blossom for each word of a poem.
Show that the curves x2 - y2 = a2 and 2 xy = b2 cross at right angles.
A man died leaving 3 sons, to whom he bequeathed his estate in the following manner: to the eldest he gave 184 dollars; to the second 155 dollars and to the third 96 dollars;
Two men have a certain amount of money. The first says to the second, "If you give me 5 denari, I will have 7 times what you have left."
I owe a man the following notes: one of $800 due May 16; one of $660 due on July 1; one of $940 due Sept. 29. He wishes to exchange them for two notes of $1200 each and wants one to fall due June 1. When should the other be due?
If I were to give 7 pennies to each beggar at my door, I would have 24 pennies left in my purse. How many beggars are there and how much money do I have?
A certain man had in his trade four weights with which he could weigh integral pounds from one up to 40. How many pounds was each weight?