Showing posts with label Playfair. Show all posts
Showing posts with label Playfair. Show all posts

Wednesday, March 30, 2016

Mathematician John Playfair


John Playfair (1748-1819), Fellow of the Royal Society of Edinburgh and Fellow of the Royal Society was a professor of natural history at the University of Edinburgh.  His name lives on most prominently in "Playfair's Axiom" an axiom equivalent to Euclid's Fifth Postulate but simpler to state and grasp.  The fact that his name is attached to it is odd, since this axiom had been around since the time of Proclus and was used by others, particularly William Ludlum, whom Playfair did credit in his writings.  


Playfair's nephew was the famous architect William Henry Playfair, and it was he who built the above monument to John Playfair, which can be found on Calton Hill just in front of the City Observatory, which William also designed.


John Playfair is buried just across the way from Calton Hill, in Old Calton Burial Ground, which is one of the places I was most hoping to see while in Edinburgh, but when I found the gate closed and all these "no access" signs posted :-(  (It seems they are quite serious about not letting people in right now!)


I find that many cemeteries here have a board posting the "celebrities" who are buried inside, so I was able to get a picture of his name on that board just beside the gate.



Here is a view looking down into Old Calton Burial Ground from Calton Hill.  The round monument is to philosopher David Hume.  (Aside - the unusual dome just left of center on the skyline is that of St. Giles' Cathedral.)




Mathematicians of Edinburgh

When first planning these mathematical travels I had only planned a couple of days for Edinburgh.  My interest was in John Napier, a very interesting character who also invented logarithms and is responsible for popularizing the use of the decimal point.  After seeing Merchiston Tower, which is all that remains of his castle in Edinburgh and is now part of Edinburgh Napier University, and after touring Lauriston Castle, home of his brother, I was going to be on my way to my myriad of mathematical stops in England.

However, as I began to look into Edinburgh I became aware of more and more mathematicians and mathematical physicists of note who were associated in some way with Edinburgh.  Along with Napier, these are:

Girolamo Cardano
Colin MacLaurin
John Playfair
Mary Somerville
William Thompson, Lord Kelvin
James Clerk Maxwell
Peter Guthrie Tait

and, currently, Sir Michael Atiyah, geometer and Fields Medal winner.

Clearly my Edinburgh sojourn needed to be extended, and I ended up reserving six days in Edinburgh rather than the two I had initially planned.  Even at that I need to focus on two or three and just touch on the others.  In this post I am sharing landmarks that all of these mathematicians would have been familiar with - that's not to say that some changes may not have been made to certain places such as Edinburgh Castle and Holyrood Palace between the time of Napier (b. 1550) and Atiyah (b. 1929).

EDINBURGH CASTLE




HOLYROOD PALACE




HOLYROOD PARK AND ARTHUR'S SEAT



St. Anthony's Chapel ruins in Holyrood Park - partway up to Arthur's Seat
Overlooking the city from near the top of Arthur's Seat
ST. GILES' CATHEDRAL



EDINBURGH UNIVERSITY

Main Campus

"New College" Campus - now a divinity school

"New College" Campus
"New College" Campus (with John Knox)
THE FIRTH OF FORTH

I haven't gotten close yet, but here it is from a bit below Arthur's Seat
CALTON HILL (with or without observatory and various monuments)

Observatory and Playfair Monument

Edinburgh - the Athens of the North

Viewing across Old Calton Burial Ground

Top left - looking over Holyrood Palace
Post Script - this idea of common landscapes was confirmed today (March 31, 2016) when I visited the National Portrait Gallery and saw the piece below from 1820 showing Calton Hill and Arthur's Seat behind it.