Mathematics
Found in 145 Collections and/or Records:
Notata phys: et math: London ..., 1698-1705
Almost certainly a latter part of Gregory's item 80: 'Notata Phys: et Math: D.G. Lond: 25 June &c 1698'. This covers cone sections, elements of Euclid, errata in a Halley treatment of comets in his own Apollonius project, and a jotting on Scottish history bibliography.
Notes on priority, 1707
This small slip bears what appears to be ammunition in Gregory's defence of his uncle James Gregorie against old charges of plagiarism. The confusing reference to "Actis Phil. Septemb. & Decemb. 1797" is a slip of the pen. The material appeared in the Acta of 1707.
Observ: Eclipsos Lunaris Oxon 19 Octr 1697 et [Mercury] in [the Sun] 24 Oct 1697, October 1697, with 2 apparently attached documents from 17041693
Observata et dicta apud D. Hugenium, 06 June 1693
Notes of a conversation in Holland with Christian Huygens, concerning an 'horologium' to show hours, months, years, and planetary positions. More general mention of the work of numerous other scientists: Notably, Huygens disputes the notion of John Bernoulli (James Bernoulli's younger brother) that the curve of an inflated sail is part-catenary and part-circle, and warns that Newton ought not to be 'deflected' into theology or chemistry.
Oratio de Mundi systemate contra Cartesiones, 1690
Graduation speech, in Gregory's hand, of one John Falconer. This young man may have been related to the Falconer who secured Lord Tarbat's interest for Gregory over the dreaded Visitation.
Oratio de Quadr: Lunale Hypocratis, 1690
Graduation speech, in Gregory's hand, of one Laurence Oliphant. This young man may have been Gregory's future brother-in-law.
The subject is Hyppocrates' lunula. Two documents on the same subject come before this, no doubt as supporting notes. One is the draft of a letter from Gregory to Wallis, referring to a 1687 article by Tchirnhausen in the Leipzig Acta, the other, a transcript of that article.
Ordo in Mathes. docenda..., 1697
An address in Balliol College about how mathematics should be taught.
Pars Probl: veterum, 28 August 1680
Gregory's solution to a very ancient problem about parabolae and their asymtotes.
'Praelectiones Astronomicae' (excerpt), 07 June 1706
A critique of the Keplerian ellipse from William Whiston's Praelectiones, (1707), which were also published in English in 1715 and 1728. Gregory's handwritten note at the bottom suggests that he or Sir Edmund Halley helped with corrections.