# Convergence articles

Displaying 41 - 50 of 661

Suppose a ladder 60 feet long is placed in a street so as to reach a window 37 feet above the ground on one side of the street...
Prove that if the sums of the square opposite sides of any quadrilateral are equal, its diagonals interect at right angles.
A man plants 4 kernels of corn, which at harvest produce 32 kernels: these he plants the second year; now supposing the annual increase to continue 8 fold, what would be the produce of the 15th year, allowing 1000 kernels to a pint?
A man bought a number of sheep for $225; 10 of them having died, he sold 4/5 of the remainder for the same cost and received$150 for them. How many did he buy?
This 1989 revision of the 1969 NCTM yearbook still provides wonderful suggestions for using the history of mathematics in the classroom.
A description of a long-running conference in which undergraduate mathematics students gather to share their research on the history of mathematics.
Two travelers, starting at the same time from the same point, travel in opposite directions round a circular railway.

This book describes some of the so-called temple geometry problems that Japanese mathematicians posed and solved beginning in the seventeenth century.

Knowing the base, b, and the altitude, a, of a triangle. Find the expression for a side of the inscribed square.
Show that the curves x2 - y2 = a2 and 2 xy = b2 cross at right angles.