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Convergence articles

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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.
Instructions that apply to Convergence but not necessarily to other areas of Loci
A study of Victorian idealism and its relation to religion, as exemplified in the work of three 19th century British mathematicians.
How high above the earth must a person be raised that he [or she] may see 1/3 of its surface?
Prove that the area of a regular polygon can be given by the product of its perimeter and half the radius of the inscribed circle.
A merchant woman buys and sells apples and pears for Denaros. How much did she invest in apples; how much in pears?
Two ants are 100 paces apart, crawling back and forth along the same path. The first goes 1/3 pace forward a day and returns 1/4 pace; the other goes forward 1/5 pace and returns 1/6 pace. How many days before the first ant overtakes the second?
In this fascinating and accessible book, the author devotes one lively, informative page of description and one striking, full-page illustration to each of 250 milestones in mathematics.

This book demonstrates the relationship between the mathematics in some recently discovered Babylonian tablets and some standard problems from Egyptian mathematics.

Given the cats eye as shown. Let the radius of the eye be given by R. What is the area of the pupil?

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