You are here

Convergence articles

Displaying 681 - 690 of 748

This is the title page of the geometry book of Jacob Kobel (1460 - 1533). The book dealt primarily with measurement, showing its readers how to use various instruments to measure fields, determine heights of buildings, and perform various other necessary tasks.
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.

Find two numbers, x and y, such that their sum is 10 and x/y + y/x = 25

A horse, halving its speed each day, travels 700 miles in 7 days. How far does it travel each day?

In how many ways can a vowel and a consonant be chosen out of the word "logarithms?"

Find the area of the elliptical segment cut off parallel to the shorter axis;

Download the two winning essays to learn about using indivisibles to find the area under a cycloid arch in the 17th century and about the Radon transform and its use in x-ray tomography in the 20th century.

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.

This is from a letter of June, 1695 in which Leibniz is discussing differentiation with Johann Bernoulli. The work in which these letters appear is the Virorum Celeberr. Got. Gul. Leibnitii et Johann Bernoulli Commercium Philosophicum et Mathematica, originally published in 1740.

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?

Pages