Articles tagged with China

Year 1688

The so-called 'Glorious Revolution' in England in 1688 was a pivotal event in the country's history. It also began a train of events leading to almost twenty years of war in Europe and the emergence of Britain as a major power. This is why elsewhere I cover the life of Thomas Pitt who, living from 1653 to 1726, straddled this period of rapid social and economic change in Europe and the world.

Wills, 1688: a global history

To take an overview of the deepening connections between parts of the world, I will often go back to a short but highly interesting book, John Wills' global history of the year 1688. He speculates that: In 1688 a full sense of the variety of the world's places and peoples, of their separations and their connections, was confined to a few, referring to the small number of travellers as well as the literate …

Transmission of mathematical ideas

A few notes here from G.G.Joseph's excellent book, The Crest of the Peacock, specifically looking at evidence for transmission of mathematical knowledge and number systems.

Babylonian origins

See p.111 for first example of Diophantine technique used by Babylonians.

The second example is a cuneiform tablet, catalogued as Plimpton 322. It is not a trigonometrical table but is evidence for the methodical production of Pythagorean triples. We are all familiar with the (3,4,5) triangle and its properties, (that 32+42=52), but not everybody will be aware that there are many more such combinations, infinitely many in fact. They are known as Pythagorean triples. Examples include (7,24,25) and (96,110,146).

With the help of some fairly elementary algebra, it is possible to generate triples using a formula.

This method of generating integral Pythagorean triples is usually attributed to Diophantus (c …