# Convergence articles

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This is the title page to the English version of Isaac Barrow's Geometrical Lectures, which were originally given in his position as Lucasian Professor of Mathematics at Cambridge University. These lectures contain one of the earliest statements and proofs of what is today known as the fundamental theorem of calculus.
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...
On a day in spring a boy has gathered cherry blossoms under a cherry tree. Nearby a poet is reading some of his poems aloud. As he reads, the boy counts out the cherry blossoms, one blossom for each word of a poem.
The Fundamental Theorem of Calculus is presented in the version of Scottish mathematician James Gregory -- without the use of limits.
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?
A history of algebra from its early beginnings to the twentieth century.
Page 12: Dilworth to Doob
A small selection of Euler's works, explained by a master expositor.
This is the title page of the 1640 printing of Galileo's Operation of the Geometrical and Military Compass, originally published privately in 1606. Galileo had invented a version of this geometrical compass a few years earlier and evidently gave copies of this manual to those who bought the compass. The compass had many uses, from performing square root calculations to determining ranges of cannons to solving surveying problems.
If an arc of 45 degrees on one circumference is equal to an arc of 60 degrees on another circle, what is the ratio of the areas of the circle?