A discussion of the meaning of mathematical unsolvability in the context of the history of Abel's proof of the unsolvability of the quintic equation in terms of radicals.

Displaying 41 - 50 of 661

A man is walking across a bridge, when a boat passes under the bridge.How rapidly are the boat and the pedestrian separating after the boat passes under the bridge?

A translation of and commentary on Frans van Schooten's work on constructions using only a straightedge. Van Schooten's postulates for use of the straightedge, however, allow the copying of one line segment onto another.

A certain bishop ordered that 12 loaves be divided among his clergy.

A man went to a draper and bought a length of cloth 35 braccia long to make a suit of clothes.

History of Maya calendars, including the modified base 20 number system used in them

The cost per hour of running a certain steamboat is proportional to the cube of its velocity in still water. At what speed should it be run to make a trip up stream against a four-mile current most economically?

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.

Find the two numbers such that multiplying one by the other makes 8 and the sum of their squares is 27

This is a collection of plates that Leonardo da Vinci created to illustrate De divina proportione of Luca Pacioli.