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Convergence articles

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Classrom suggestions for integrating Leonardo's ideas in several different classes

A collection of articles dealing with mathematical models and objects and how they can be used in teaching.

I have two fields of grain. From the first field I harvest 2/3 sila (a measurement of grain volume) per sar (a unit of area); from the second, 1/2 sila per sar.

In one day, a person can make 30 arrows or fletch [put the feathers on] 20 arrows.

A mouse is at the top of a poplar tree 60 braccia high, and a cat is on the ground at its foot. The mouse descends 1/2 a braccia a day and at night it turns back 1/6 of a braccia.

A cylindrical tin tomato can is to be made which shall have a given capacity. Find what should be the ratio of the height to the radius of the base that the smallest possible amount of tin shall be required.

Instructions that apply to Convergence but not necessarily to other areas of Loci

A cliff with a tower on its edge is observed from a boat at sea; find the height of the cliff and the tower.

There is much to see in this museum related to the history of mathematics.

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.