You are here

Convergence articles

Displaying 81 - 90 of 664

The steamer, Katie, leaves the wharf at New Orleans and runs an average speed of 15 mph. When Katie had gone 25 miles, the steamer R.E. Lee leaves the wharf and runs the average speed of 18 mph. How far will the Lee go before she overtakes the Katie?
A merchant gave a university 2,814 ducats on the understanding that he was to be paid back 618 ducats per year for 9 years, at the end of which the 2,814 ducats should be considered as paid.

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

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.
A study of some elements of Greek geometry, as part of a course for liberal arts undergraduates on basic concepts of the calculus.
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.
There are a number of wonderful mathematics websites that readers of Convergence should be aware of. We describe some of them here.
There is a circle from within which a square is cut, the remaining portion having an area of 47.6255 square units.
There is a lion in a well whose depth is 50 palms. He climbs and slips back a certain amount each day. In how many days will he get out of the well?
One says that 10 garments were purchased by two men at a price of 72 dirhams. The garments varied in value. The price of each garment of one man is 3 dirhams more than the price for each garment of the other. How many garments did each man buy?