Mathematics
Found in 9 Collections and/or Records:
Chartae 4. fol: de Nostra 2da Quadrandi Methodo, 1686
A tranche of workpapers in which Gregory continues to labour on adapting Newton's method of quadrature. He continues to have trouble adapting the basic series, an indefinite integral, to the definite integral defined between O and x.
One paper among these was probably intended for the Astronomiae, showing a body moving in an ellipse.
Curva Cragio exhibitur, July 1687
Gregory, probably with Pitcairne at his side, sent these curves to Craige in Cambridge, challenging him to find their quadrature. Thus the writing that is not in Gregory's hand may be Craige's.
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.
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.
Jo: Craig: specimen method: quadratura..., 1680's
How John Craige dealt with a particular case of integration.
Jo: Craige supplementii ad suam Methodum, in Epist: Auct: ad Colin Campbellum, c1696
Extract of a letter from Craige to Colin Campbell explaining a method of quadrature.
Methodus reducandi Quadraturas omnium figurarum ad Quadraturam Parabola, 1688
A development of one of Barrow's theorems.
Ratio et Demonstratio Methodi Joannis Craige, 1686
Craige's suggestion for handling a finite quadrature. Attached is a slip on binomial reduction.
Varia Exempla particularia ... Nostr: Methodo, 1688-1707
Gregory considers his work in light of Craige's.
On the reverse of one sheet, dated 29 January 1707, Gregory notes some of the prophecies of the sect to which his colleague Fatio belonged.