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Convergence articles

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Archimedes' work, The Method, explained, along with many other important ideas of the great Greek geometer.
The incircle O(r) of triangle ABC touches AB at D, BC at E and AC at F. Find r in terms of AD, BE and CF.

Benjamin Banneker solved some trigonometry problems in his extant notebooks. One of them is discussed here. The authors have also discovered the probable source of Banneker's trigonometry table.
A man and his wife drink a barrel of wine at different rates. Find the rate it takes both of them together to drink the wine.
In Archimedes' Book of Lemmas (ca 250), he introduces a figure that, due to its shape, has historically been known as "the shoemaker's knife" or arbelos.

Images of the first printed edition of Euclid's Elements

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...
A discussion of why we use "e" to represent the base of the natural logarithm system.
Illustration of a counting board in Strasbourg
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?