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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?
This is a regular monthly colloquium meeting at Adelphi University in Garden City, NY
Three equal circumferences with radii 6" are tangent to each other. Compute the area enclosed between them.
Instructions that apply to Convergence but not necessarily to other areas of Loci
A vessel is anchored in 3 fathoms of water and the cable passes over a sheave in the bowspirt which is 6 ft above the water.
Three vertical posts along a straight canal, each rising to the same height above the surface of the water. By looking at the line of vision, determine, to the nearest mile, the radius of the earth.
Having been given the lengths, a and b, of two straight lines drawn from the acute angles of a right triangle to the middle of the opposite sides, determine the length of those sides.
A man, his wife, and 2 sons desire to cross a river.
There were two men, of whom the first had 3 small loaves of bread and the other, 2.
Explain the geometric basis of "completing the square," the original method of solving quadratic equations, to your students.

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