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If a ball 6 inches in diameter weighs 32 lbs, what will be the weight of a ball 3 inches in diameter?
Mathematics is often referred to today as the "science of patterns." But has this always been true historically, or is this something that happened in recent times? The question is discussed here with reference to the work of Euclid and Jacob Steiner.
A discussion not only of the mathematics of pi, but of its applications through the centuries.
A horse, halving its speed each day, travels 700 miles in 7 days. How far does it travel each day?
This is a page from an early printed edition of the Arithmetica of Jordanus de Nemore (early 13th century).
This is the title page of the 1640 printing of Galileo's Operation of the Geometrical and Military Compass, originally published privately in 1606. Galileo had invented a version of this geometrical compass a few years earlier and evidently gave copies of this manual to those who bought the compass. The compass had many uses, from performing square root calculations to determining ranges of cannons to solving surveying problems.
Three circles of varying radius are mutually tangent. The area of the triangle connecting their centers is given. Find the radius of the third circle.
There is a round town 8000 feet in circumference.
Leonardo da Vinci and Albrecht Durer both offered approximate constructions of regular pentagons for the use of artists. This article explains these constructions.

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