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The number 50 is divided by a certain number. If the divisor is increased by 3, the quotient decreases by 3.75. What is the number?
This is the title page of the Siderius Nuncius (Starry Messenger) of Galileo (1564-1642), published in 1610. This book was a report on Galileo's first investigations with a telescope. Also includes Galileo's initial sketches of the surface of the moon.
Find the area of the elliptical segment cut off parallel to the shorter axis;
A cylindrical tin tomato can is to be made which shall have a given capacity. Find what should be the ratio of the height to the radius of the base that the smallest possible amount of tin shall be required.
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.
Now there are six-headed four legged animals and four-headed two-legged birds. Find the total number of animals and birds.
There is a round town 8000 feet in circumference.

The copybooks of two young men reveal very different purposes in learning geometry.

A ladder has 100 steps. On the first step sits 1 pigeon; on the second, 2; on the third, 3; and so on up to the hundredth. How many pigeons in all?
An analysis of James Gregory's proof of the Pappus-Guldin theorem, along with the original documents both in Latin and English.

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