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Convergence articles

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Find two numbers, x and y, such that their sum is 10 and x/y + y/x = 25
Now a good horse and an inferior horse set out from Chang'an to Qi. Qi is 3000 li from Chang'an.
Given the dimensions of an isosceles trapezoid find the length of the transversal drawn parallel to the bases that divides the trapezoid into 2 equal areas.
The history of apportionment of representatives in the U.S. Congress, from the 1790s until today, along with a discussion of the mathematics involved in the various methods.
In how many ways can a vowel and a consonant be chosen out of the word "logarithms?"
A lively history of number systems and number theory from earliest times up to the notion of "infinity".
Page 6: Images from the Paul Halmos Photo Collection of Abram Besicovitch, R. H. Bing, Burton W. Jones, Garrett Birkhoff, Abolghassem Ghaffari, Errett Bishop, and Max Black
Prove geometrically that the hypocycloid is a straight line when the radius of the rolling circle is one-half the radius of the fixed circle.
A farmer sold a team of horses for $440, but did not receive his pay for them until 1 yr, 8 mo after the sale. He had at the same time another offer of $410 for them. Did he gain or lose by the sale and by how much, money being worth 6%/yr?
This is the title page of the Margarita philosophica (Pearl of Wisdom) of Gregor Reisch (1467 - 1525). The first edition was published in 1503. This work was used as a university textbook in the early sixteenth century.