# Convergence articles

Displaying 41 - 50 of 665

I found a stone but did not weigh it; after I added to it 1/7 of its weight and then 1/11 of this new weight, I weighed the total at 1 mina. What was the weight of the stone?
Tartaglia's method for solving cubics, which he eventually explained to Cardano.
If a ladder, placed 8 ft. from the base of a building 40 ft. high, just reached the top, how far must it be placed from the base of the building that it may reach a point 10 ft. from the top?

How Euler resolved the paradox first noted by Maclaurin that nine points should determine a curve of order three, yet two such curves can intersect in nine points

When knowing the sum of their ages along with another equation, determine how old a father and son are.
Four episodes in the history of geometry are discussed, where dynamic geometry helps in understanding the ideas.
Page from al-Khwarizmi's algebra text written in about 825. The proof of the rule for solving a quadratic equation of the form "squares plus roots equal numbers".
I owe a man the following notes: one of $800 due May 16; one of$660 due on July 1; one of $940 due Sept. 29. He wishes to exchange them for two notes of$1200 each and wants one to fall due June 1. When should the other be due?
A horse halving its speed every day runs 700 miles in 7 days.
In a right triangle, let the perpendicular be 5 and the sum of the base and hypotenuse 25. Find the lengths of the base and hypotenuse