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Convergence articles

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How high above the earth must a person be raised that he [or she] may see 1/3 of its surface?
Given the frustum of a circular cone with height h.
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.
Three men wish to buy a horse but none have a sufficient amount of money for the purchase; to do so they must borrow from each other. How much money does each man have and what is the price of the horse?

A bibliographical reference to mathematics books printed in the new world before 1700.

Divide 100 loaves of bread among 10 men including a boatman, a foreman, and a doorkeeper, who receives double portions. What is the share of each?
A biography stressing Agnesi's deep commitment to help those in need.
Having been given the perimeter and perpendicular of a right angled triangle, it is required to find the triangle.
There is a mound of earth in the shape of a frustum of a cone.
The incircle O(r) of triangle ABC touches AB at D, BC at E and AC at F. Find r in terms of AD, BE and CF.

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