Geometry

A paper of my own about the descent in a Cycloid printed in the Philosophical Transactions of the Royal Society in 1697, cFebruary 1697

Item

Identifier: Coll-33/Quarto A [22]

Scope and Contents

A late draft of an elementary development of Christiaan Huygens' work on the cycloid, that finally appeared anonymously in the Philosophical Transactions of the Royal Society for February 1697 (nos 225, 424).

Dates: cFebruary 1697

Found in: University of Edinburgh Library Heritage Collections / Papers of David Gregory / Quarto A

A problem proposed by Robert Anderson 1698 about Geometry, c1675-1698

Item

Identifier: Coll-33/Quarto A [21]

Scope and Contents

A search for a way to find an angle in a right triangle bisected laterally by a parabola. It is signed "Rob:t Anderson", and is written in a hand presumably his. Gregory has written, "sent to me by Mr G Keith Aprilo 1698) at the bottom.

Dates: c1675-1698

Found in: University of Edinburgh Library Heritage Collections / Papers of David Gregory / Quarto A

Ad Geometriam Indivisibilium, 1680's

Item

Identifier: Coll-33/Folio C [126]

Scope and Contents

Theorems attributed to one 'Cavillarius', possibly Francesco Bonaventura Cavalieri (1598-1647), Jesuit mathematician from Bologna.

Dates: 1680's

Found in: University of Edinburgh Library Heritage Collections / Papers of David Gregory / Folio C

An account of a manuscript..., c1703

Item

Identifier: Coll-33/Folio E [062]

Scope and Contents

A manuscript reviewed by Gregory for a colleague (whose name is illegible), mostly concerning Euclid.

Dates: c1703

Found in: University of Edinburgh Library Heritage Collections / Papers of David Gregory / Folio E

Apud Doctorem Ruyschium Amsterodami, 24 May 1693

Item

Identifier: Coll-33/Quarto A [10]

Scope and Contents Notes from a paediatric anatomy demonstration, that appears to have dealt with certain birth defects. Followed by what appears to be a note about an actuarial problem concerning human senescence; several individuals who have worked on it are named, including Christiaan Huygens. Then follows a diagram of a machine designed by Jan Hudde for descrying a curve of changing slope. Last is a note about a conversation with Hudde about calculating dimensions and focal length of lenses in...

Dates: 24 May 1693

Found in: University of Edinburgh Library Heritage Collections / Papers of David Gregory / Quarto A

Astronomiae Physicae et Geometricae Elementa, 28 February 1698

Item

Identifier: Coll-33/Quarto A [43]

Scope and Contents

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.

Dates: 28 February 1698

Found in: University of Edinburgh Library Heritage Collections / Papers of David Gregory / Quarto A

Canon Slusz de tangentiibus Curv: ..., 1680-1681

Item

Identifier: Coll-33/Quarto A [72]

Scope and Contents

Extract of a letter, written in an unknown hand, from René François de Sluse to the publisher of the Philosophical Transactions, concerning his general algorithm on Fermat's application of his own method of maxima and minima to tangents. De Sluse's article appeared in January 1673.

Dates: 1680-1681