Robert Simson

Robert Simson (14 October 1687 – 1 October 1768) was a British mathematician and professor of mathematics.

The eldest son of John Simson of Kirktonhall, West Kilbride in Ayrshire, Robert Simson was intended for the Church, but the bent of his mind was towards mathematics.

When the prospect opened of his succeeding to the mathematical chair at the University of Glasgow, Simson proceeded to London for further study. After a year in London, he returned to Glasgow and, in 1711, was appointed by the university to the professorship of mathematics, an office which he retained until 1761.

Simson's contributions to mathematical knowledge took the form of critical editions and commentaries on the works of the ancient geometers. The first of his published writings is a paper in the "Philosophical Transactions" (1723, vol. xl. p. 330) on Euclid's "Porisms".

Then followed "Sectionum conicarum libri V." (Edinburgh, 1735), a second edition of which, with additions, appeared in 1750. The first three books of this treatise were translated into English and, several times, printed as "The Elements of the Conic Sections". In 1749, was published "Apollonii Pergaei locorum planorum libri II.", a restoration of Apollonius's lost treatise, founded on the lemmas given in the seventh book of Pappus's "Mathematical Collection".

In 1756, appeared, both in Latin and in English, the first edition of his "Euclid's Elements". This work, which contained only the first six and the eleventh and twelfth books, and to which, in its English version, he added the "Data" in 1762, was for long the standard text of Euclid in England.

After Simson's death, restorations of Apollonius's treatise "De section determinata" and of Euclid's treatise "De Porismatibus" were printed for private circulation in 1776, at the expense of Earl Stanhope, in a volume with the title "Roberti Simson opera quaedam reliqua". The volume contains also dissertations on "Logarithms" and on the "Limits of Quantities and Ratios", and a few problems illustrating the ancient geometrical analysis.

The pedal line of a triangle is sometimes called the "Simson line" after him.

External links

* [http://agutie.homestead.com/files/simsontheorem1.html Simson's line theorem] by Antonio Gutierrez from "Geometry Step by Step from the Land of the Incas"
* [http://agutie.homestead.com/files/simsonangletheorem1.html Angle between two Simson's lines] by Antonio Gutierrez from "Geometry Step by Step from the Land of the Incas"
* [http://www.cut-the-knot.org/ctk/SimsonLine.shtml Simson's line]
* [http://www-history.mcs.st-and.ac.uk/~history/Mathematicians/Simson.html Robert Simson's biography at MacTutor archive.]

Authorities

*W Trail, "Life and Writings of Robert Simson" (1812)
*C Hutton, "Mathematical and Philosophical Dictionary" (1815).