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Convergence articles

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Our reviewer praises the selection of excerpts, the use of facsimiles rather than transcriptions, and the commentary and English translation in this collection.

Dynamic geometry software is used to demonstrate early Greek attempts at the trisection of an angle and the squaring of a circle.
This is the title page of the Treatise of Algebra (1685), by John Wallis. This is probably the first attempt at a history of the subject of algebra, presented in the context of a text on the subject. Among the most famous parts of this treatise is Wallis's discussion of the work of Thomas Harriot, especially his contention that Rene Descartes plagiarized Harriot's symbolization procedure in algebra.
The triangle ABC has a right angle at C. Show that 1/ED=1/AC+1/AB
A highly recommended new book on the history and applications of pi.
The purchase price for an apple and an orange is 100 yen. When n oranges and n + 3 apples are bought the price is 520 yen. Find the number n of oranges and the price of one orange.
A tree is 20 feet tall and has a circumference of 3 feet. There is a vine that winds seven equally spaced times around the tree and reaches the top. What is the length of the vine?
There is a circle from within which a square is cut, the remaining portion having an area of 47.6255 square units.

Images of the first printed edition of Euclid's Elements

Having been given the perimeter and perpendicular of a right angled triangle, it is required to find the triangle.