Mathematics
Found in 198 Collections and/or Records:
De Inveniendo Numero ... Divisores et residum, s.d.
A note on division, divided between two small sheets (both labelled as such).
De Parabolarum..., s.d.
A short discussion of parabolae.
De problematibus arithmeticis et geometricis in generali consideratis et horum Historia, s.d.
A short treatise on some of the recent evolution in maths.
De ratione studii mathematici consilium, 1693
Draft, not in Gregory's usual hand, of a paper written for the direction of students. Another copy, under this same title, is in Francis Pringle's notebook, Dc.6.12. Two others, under different titles, are in Folio C (see below), as number 112, and in fol. 85 of the Royal Society of London's MS 247.
De Spatio Hyperbolico infinito, s.d.
A note, flanked by two leaves full of calculations that may or may not be related to it, on the division into segments of hyperbolic curves.
De Transmutatione Figurarum, c1688-1707
A treatment by Craig(e) of transmutation of a particular curve into another.
Secondarily, there is a tabulation of the Measures of the Blood Vessells in Dogs by James Kyll MD at Oxford in 1699, and a Dr Robert Areskine's Measures of the Arterys (human? canine?). There is also a 1707 note about how the French form the chamber of their mortars, and a passing mention of a new proposal on quadrature just brought before the Royal Society.
De ... usura, May 1690
An exercise in interest calculation, with a note that the same results are to be had by logarithm. David Gregory incorrectly labelled this small sheet '81': to go with his index it must be item 82.
Demonstratio 10me Regulae Huddenii, May 1680
A problem from Descartes, worked through by Hudde, whose notes were included in the 1659 edition of the Geometria. This was probably written out in Rotterdam and sent to a friend as a letter.
Juxtaposed to this item, and possibly out of sequence, is the unlabelled and undated "Francisci Renati Slusii Methodus Tangentium', extracted in a hand other than Gregory's, from the January 1673 Transactions.
Demonstratio probl: VII. Lect: Geom D: Barrow pag: 125, c1696
A 29-page tranche of working papers, in which for the most part Gregory appeals to Isaac Barrow as he tries to reconcile his definite with Craige's indefinite integration.
Demonstratio regularum Huddonii..., 1708
Several demonstrations of axioms derived by Hudde, in letter form, addressed to one M. Sauveur.
Also a record of a conversation with M. Fatio, fellow mathematician and confirmed religious fanatic.
Two unrelated pages follow, before item 66: a pair of printed leaves in optics.