Stirlings of Keir

102 STIRLING OF GARDEN.
The writer in the Magazine explains, that the mines at Leadhills have, like those
at other places, been to a great extent worked out. ' As long ago as the year 1800,
' Mr. Stirling of Garden, the nephew and successor of the mathematician, to whom
' we have already referred, as agent at Leadhills for the Scots Mining Company, a
' most competent authority, stated that the Hopetoun family and their lessees had
' taken as much lead out of the interior of one of the hills, which bound the basin at
' which the village is situated, as would pave the surface of it with guineas set
' on edge.'
James Stilling died at Edinburgh on 5th December 1770. He married Miss Wat-
son, daughter of Mr. Watson of Thirtyacres near Stirling, and left an only daughter,
Christian, who was married to her cousin, Archibald Stirling of Garden (V.) She
died in childbirth of her only, son, the late James Stirling, Esq. of Garden.
The following, is a list of the Scientific Works of James Stirling —
Linese tertii ordinis Neutonianae sive illustratio tractatus D. Neutoni de Enumeratione
Linearum tertii ordinis. Cui subjungitur Solutio trium problematiun : Authore Jacobo
Stirling e Col. Ball. Oxon. 8vo, Oxoniae : e Theatro Sheldoniano ; impensis Edvardi
Whistler, Bibliopolfe Oxoniensis, 1717. Title and one leaf of Dedication, pp. 128, 19,
and 4 leaves of Subscribers' Names. The Book is dedicated to the Cavaliere Nicolas
Tron, Envoy from Venice to the Court of St. James'.
Methodus Differentialis : sive Tractatus de Summatione et Interpolatione Seriermn
Infinitarum. Auctore Jacobo Stirling, R.S.S. 4to, Londini : Typis Gul. Bowyer ;
Impensis G. Strahan ad Insigne Globi aurati e regione Excambii Begalis mdccxxx.
Title and two leaves of Preface, pp. 153.
This work was translated into English by Francis Holliday, Master of the Gram-
mar Free-School at Haughton-Park, near Retford, Nottinghamshire. 4to. London.
Printed for E. Cave, at St. John's Gate, mdccxlix. Mr. Holliday says in his Preface
to the Reader, that ' it is needless for me to say any thing in commendation of the
' celebrated author's treatise, the character of which is so well established, and its
' general method for summing and interpolating series so clear and elegant, that it is
' deservedly esteemed one of the best performances of its kind.'
Of the Figure of the Earth, and the Variation of Gravity on the Surface, Phil.
Trans. 1735. Abr. viii. p. 26.
Of a Machine to Blow Fire by the Fall of Water, Lb. 1745. Abri. ix. p. 109.
There are at Garden, two volumes quarto, holograph of James Stirling, of a Trea-
tise by him on Weights and Measures. The first volume is in two parts. Part I.
contains pp. 96, and folios 134 ; the second volume contains folios 155.