Gregory's attempt to work out corollary 2 to Newton's proposition 91, from book 1 of the Principia, which compared the ratio of the attraction of a sphere to that of a spheroid, using the integration of the square root of a trinomial.

For Gregory's Nota to Newton's Principia. One of several attempts (see C46, C60, and C63) to understand Newton's corollary 2 to proposition 91, book 1, which discovered the ratio of the attraction of a shpere to that of a spheroid, and involved the integration of the square root of a trinomial.

Notes of some of the consultations with Newton in Cambridge from the 4th to the 8th of May, 1694. The topics of those talks included astronomy, mechanics, physics and mathematics. The mathematical topics included conic radii, conjugates of curves, the polar coordinates of an orbit, and the form of the solid of least resistance.

Thoughts on Newton's theory of the moon. Gregory notes Fatio's success in deriving the inverse square law, and Flamsteed's refusal to supply orbital data.

Notes from a London meeting with Sir Isaac Newton on a revised plan for the Astronomiae physicae et geometricae elementa, (1702), Gregory's most important work. An erratum lies at the foot of this document, unrelated to it or to any of the other things on the sheet (which have their own entries in Gregory's index): a jotting about refraction, crystals, and cataracts of the eye. This is dated London, 30 May 1708.

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.

Editorial issues in Gregory's major textbook.

Notes from a trip to London in May and early June of 1681. Gregory saw Boyle's pneumatic pump (an 'antlia' is a siphon) and a method of making 'leaves' with molten glass and water. One Mr Lamb discussed copper engraving with him. He saw Newton's reflecting telescope in Gresham College.

A diagram of how light propagates serially through convex lenses.

Labelled figures of chord lines through circles.