Mathematics
Found in 145 Collections and/or Records:
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 ... 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.
Demonstration que la Cycloide est la Courve de la ... descent, 1699
Gregory's copy of de l'Hôpital's analysis of the curve of most rapid descent into a cycloid.
D.G.'s Demonstratio Methodi Slusii de Tang., c1683
Gregory's early attempt to prove Sluse's rule for tangents from Fermat or from Barrow.
DG's letter to Dr Aldrich about the present series ..., 11 October 1694
English note about the editorial presentation of a published series. Henry Aldrich was Gregory's friend and also Dean of Christ Church.