# Convergence articles

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The work of the great Renaissance artist/scientist Leonardo da Vinci can be taught in secondary schools through an integrated approach of several disciplines. This article explores the approach of the Ross School.

The perimeters of two similar triangles are 45 and 135 respectively. One side of the first triangle has length 11″ and a second side, 19″. Find the lengths of the sides of the second triangle.

You have two sums of money, the difference of which is 2 dirhems; you divide the smaller sum by the larger and the quotient is equal to 1/2. What are the two sums of money?

Now there is a wall 5 feet thick and two rats tunnel from opposite sides.

A gentleman has bought a rectangular piece of land whose perimeter is to be 100 rods.

Mesopotamian accounting evolved from simple clay token counters to a number-recording system that included impressions of these tokens on clay tablets.

A man hired a horse in London at 3 pence a mile. He rode 94 miles due west to Bristol then due north to Chester, whence he returned toward London for 66 miles, which put him in Coventry.

A collection of illustrations of Inca quipus, with references to their earliest descriptions.

Given two circles tangent at the point P with parallel diameters AB and CD, prove that APD and BPC are straight lines.

A copper water tank in the form of a rectangular parallelepiped is to made. If its length is to be a times its breadth, how high should it be that for a given capacity it should cost as little as possible?