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Convergence articles

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A series of circles have their centers on an equilateral hyperbola and pass through its center. Show that their envelope is a lemniscate.
The beginnings of land measurement in the early United States and how this affected American democracy.
An image of the calendar, together with instructions for its use
Now there are six-headed four legged animals and four-headed two-legged birds. Find the total number of animals and birds.
Determine a number having remainders 2, 3, 2 when divided by 3, 5, 7 respectively.
This is the title page to the 1811 edition of the Descriptive Geometry of Gaspard Monge (1746-1818). This book deals with methods for representing three-dimensional objects in two dimensions. It was written to accompany Monge's courses at the Ecole Polytechnique in Paris.
A barrel has various holes in it. The fist hole empties the barrel in three days...
A ladder has 100 steps. On the first step sits 1 pigeon; on the second, 2; on the third, 3; and so on up to the hundredth. How many pigeons in all?
A man agreed to pay for 13 valuable houses worth $5000 each, what the last would amount to, reckoning 7 cents for the first, 4 times 7 cents for the second, and so on, increasing the price 4 times on each to the last.
Determine by using algebra the number of degrees in the angle A where: cos A = tan A