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Convergence articles

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A set of n disjoint, congruent circles packs the surface of a sphere S so that each region of the surface exterior to the circles is bounded by arcs of three of the circles.
The work of the great Renaissance artist/scientist Leonardo da Vinci can be taught in secondary schools through an integrated approach of several disciplines. This article explores the approach of the Ross School.
Find two numbers, x and y, such that their sum is 10 and x/y + y/x = 25
You have two sums of money, the difference of which is 2 dirhams; you divide the smaller sum by the larger and the quotient is equal to 1/2. What are the two sums of money?
In how many ways can a vowel and a consonant be chosen out of the word "logarithms?"
An image of the calendar, together with instructions for its use
This is the title page to the 1811 edition of the Descriptive Geometry of Gaspard Monge (1746-1818). This book deals with methods for representing three-dimensional objects in two dimensions. It was written to accompany Monge's courses at the Ecole Polytechnique in Paris.
Given four numbers whose sum is 9900; the second exceeds the first by 1/7 of the first...
Now a good horse and an inferior horse set out from Chang'an to Qi. Qi is 3000 li from Chang'an.
Given two circle tangent at the point P with parallel diameters AB, CD, prove that APD and BPC are straight lines.

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