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Mathematics

 Subject
Subject Source: Library of Congress Subject Headings

Found in 212 Collections and/or Records:

Notata phys: et math: London ..., 1698-1705

 Item
Identifier: Coll-33/Quarto A [80]
Scope and Contents

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.

Dates: 1698-1705

Notes on priority, 1707

 Item
Identifier: Coll-33/Folio E [038]
Scope and Contents

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.

Dates: 1707

Nova Methodus Tangentes Curvarum ... per D.T., s.d.

 Item
Identifier: Coll-33/Quarto A [97]
Scope and Contents

An undated treatment of tangents by 'D.T.', in the same hand as item 91.

Dates: s.d.

Observ: Eclipsos Lunaris Oxon 19 Octr 1697 et [Mercury] in [the Sun] 24 Oct 1697, October 1697, with 2 apparently attached documents from 17041693

 Item
Identifier: Coll-33/Quarto A [28]
Scope and Contents Two straightforward records of planetary eclipses, but meant, on palaeographic evidence, to be kept with a draft and a fair copy of a subsequent Philosophical Transactions of the Royal Society article [Vol. XXIV, No. 293, for September-October 1704, p1704] about the Cassini curve, a model of how a periodic comet probably orbits. Folding and fading of these documents suggest that they were inserted not long after David Gregory generated his index of Quarto A (which he drew up around 1700)....
Dates: October 1697, with 2 apparently attached documents from 17041693

Observata et dicta apud D. Hugenium, 06 June 1693

 Item
Identifier: Coll-33/Quarto A [4]
Scope and Contents

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.

Dates: 06 June 1693

Or Ms 26: مفتاح الحساب Miftāḥ al-ḥussāb, 1092 A.H., 1681 C.E.

 Item
Identifier: Or Ms 26
Scope and Contents A treatise on general arithmetic by the celebrated astronomer Ghiyās al-Dīn Jamshīd b. Mas'ūd b. Maḥmūd al-Ṭayyib al-Kāshī, commonly known as Al-Ghayyās, (d. ca. 1436 C.E.) who dedicated the work to Mīrzā Ulugh Beg, grandson of Tīmūr (see fol. 4b). The author, who is reputed to have possessed rough manners, with little or no knowledge of the etiquette of the Court, was nevertheless a favourite with Ulugh Beg, who had appointed him one of the four keepers of his observatory, which had been...
Dates: 1092 A.H.; 1681 C.E.

Or Ms 27: تحریر اقلیدس Taḥrīr Uqlīdus, 882 A.H. and 982 A.H., 1477 C.E. and 1573 C.E.

 Item
Identifier: Or Ms 27
Scope and Contents This is a much more complete work of Euclid than the Greek text that has come down to us. It was translated from the Greek by the famous philosopher and astronomer Khwājah Naṣīr al-Dīn al-Ṭūsī (d. 672 A.H., 1274 C.E.) b. Imām Fakhr al-Dīn, and was brought to Spain by the Arabs, thence a knowledge of its contents was diffused throughout Europe long before the Greek original was discovered. In this work Naṣīr al-Dīn proves most of the propositions, sometimes in two, three, and four ways,...
Dates: 882 A.H. and 982 A.H.; 1477 C.E. and 1573 C.E.

Or Ms 28: مخروطاط ابلونیوس Makhrūṭāṭ Iblawniyūs, early 12th cent. A.H. at latest, early 18th cent. C.E. at latest

 Item
Identifier: Or Ms 28
Scope and Contents The treatise on conic sections by Apollonius of Perga, who was born in the reign of Ptolemy Euergetes, and died during that of Ptolemy Philopater, who ruled 222-205 B.C. It is stated on fol. 52b that Apollonius dedicated the first three books of his conic sections to Eudemus. The treatise was originally in eight books, of which only the first four were known in Europe. About the middle of the seventeenth century the next three books were translated from an Arabic MS. dated 1250 C.E. The...
Dates: early 12th cent. A.H. at latest; early 18th cent. C.E. at latest

Or Ms 92: رسالهٔ ارثماطیقی (یعنی خواص اعداد) Risālah-i irs̲māṭīqī (ya'nī khavāṣ-i a'dād), undated

 Item
Identifier: Or Ms 92
Scope and Contents

This is only the third fann, or part, of apparently a large work on arithmetic. The author's name is not given. In its present form it treats with that branch of the Theory of Numbers which is called Zawju al-Zawj), it is illustrated by numerous tables.

Dates: undated

Or Ms 259: رساله درعلمِ وفق Risālah dar ‘ilm-i vafq, undated

 Item
Identifier: Or Ms 259
Scope and Contents

This is the fourth maqālah (chapter) from a longer work on the theory of numbers in five chapters (see A Descriptive Catalogue of the Arabic and Persian Manuscripts in Edinburgh University Library by Mohammad Hukk et al. (1925) for further details.


This manuscript includes many tables.

Dates: undated