How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations students

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Two persons sat down to play for a certain sum of money; and agree that the first who gets three games shall be the winner. After a few games they resolve to divide the stakes. How much should each person receive?

Title page from the Ars Magna, by Gerolamo Cardano, published in 1545. Engraved portrait of the author. First printed text of algebraic solution of cubic equations.

Relationships between Architecture and Mathematics

Given two circles tangent to each other and to a common line, determine a relationship between the radii and the distance between the tangent points.

An oblong garden is a half yard longer than it is wide and consists entirely of a gravel walk...

A mouse is at the top of a poplar tree 60 braccia high, and a cat is on the ground at its foot. The mouse decends 1/2 a braccia a day and at night it turns back 1/6 of a braccia.

A woodcutter starts to fell a tree 4 feet in diameter, and cuts half way through. One face of the cut is horizontal, and the other face is inclined to the horizontal at an angle of 45 degrees. Find the volume of the wood cut out.

Page 7, Who's That Mathematician: Images from the Paul R. Halmos Photograph Collection: Blackwell, Halmos, Boas, Bollobas, Bombieri, Mumford, Bonsall, Rankin

A merchant woman buys and sells apples and pears for Denaros. How much did she invest in apples; how much in pears?