You are here

Convergence articles

Displaying 581 - 590 of 661

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.

Given two circles tangent to each other and to a common line, determine a relationship between the radii and the distance between the tangent points.
A survey of the mathematics education of cadets in the first century after the founding of the U.S. Military Academy.

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

In a square box that contains 1000 marbles, how many will it take to reach across the bottom of the box in a straight row?
There is a round fish pond of certain dimensions, and into the pond is dropped a marble column. How high will the water rise?
In a circle whose circumference is 60 units, a chord is drawn forming a segment whose sagitta is 2 units. What is the length of the chord?
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".
A fellow said that when he counted his nuts by twos, threes, fours, fives and sixes, there was still one left over; but when he counted them by sevens they came out even. How many did he have?
A certain man says that he can weigh any amount from 1 to 40 pounds using only 4 weights. What size must they be?

Pages

Dummy View - NOT TO BE DELETED