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Lyons, Israel, 1739 - 1775 (mathematician and botanist)

 Person

Found in 18 Collections and/or Records:

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Algebraic equations to find roots

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Reference Code: GBR/0180/RGO 4/251
Scope and Contents

Various algebraic equations by Israel Lyons on finding roots of equations.

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Algebraic notes

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Reference Code: GBR/0180/RGO 4/250
Scope and Contents

Various undated algebraic notes dealing with the clearing of surds from algebraic equations and a brief resumé of the work of Leonard of Pisa. The volume was compiled by Israel Lyons.

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Analysis of Cotes' 'Scholium generale', 1756

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Reference Code: GBR/0180/RGO 4/241
Scope and Contents

An analysis by Israel Lyons of the problems in the 'Scholium Generale of Cotes Harmonia Mensurum'.

Dates: 1756
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Analysis of Cotes' 'Scholium Generale', 1756

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Reference Code: GBR/0180/RGO 4/243
Scope and Contents

An analysis by Israel Lyons of the construction in Roger Cotes' 'Scholium Generale', with an index to fourteen problems.

Dates: 1756
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Book on central forces, 1758 - 1759

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Reference Code: GBR/0180/RGO 4/238
Scope and Contents

A book on central forces by Israel Lyons, including articles on resistance to bodies moving under central forces. The volume includes an answer to Mr Murdoch on the centre of gravity, October 1758, and extracts and analysis of propositions from Newton's 'Principia'.

Dates: 1758 - 1759
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Booklet on central forces

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Reference Code: GBR/0180/RGO 4/239
Scope and Contents

A booklet by Israel Lyons on central forces, with diagrams and equations.

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Booklet on mechanics, 1767

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Reference Code: GBR/0180/RGO 4/237
Scope and Contents

A booklet on mechanics, with diagrams and equations of falling bodies and projectiles, autographed 'I L' (Israel Lyons).

Dates: 1767
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Booklet on mechanics and falling bodies

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Reference Code: GBR/0180/RGO 4/236
Scope and Contents

An undated booklet by Israel Lyons on mechanics and mechanical problems and on the mathematics of falling bodies.

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Booklet on mechanics, planets, moments and capillaries

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Reference Code: GBR/0180/RGO 4/244
Scope and Contents

An undated booklet by Israel Lyons containing sections on mechanical powers, primary planets, moments of bodies and capillary tubes.

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Booklet on Newton's 'Principia'

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Reference Code: GBR/0180/RGO 4/240
Scope and Contents

An undated booklet by Israel Lyons on Newton's 'Principia', Book 1, Proposition 91, Corollary 2, dealing with Newton's differential method concerning the logarithmic spiral.

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Letter from Israel Lyons, 1774-08-22 - 1774-09-28

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Reference Code: GBR/0180/RGO 4/187/7: 1-3
Scope and Contents

Letter dated 22 August 1774, regarding a problem to find instrumental errors using the known right ascensions of stars, and errors in a pendulum at altitudes. An unconnected note, dated 22 August to 28 September 1774, concerning theodolite measurements for the Schiehallion Experiment has been included with the letter.

Dates: 1774-08-22 - 1774-09-28
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Letter from Israel Lyons Jnr, Cambridge, 1766

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Reference Code: GBR/0180/RGO 4/187/1: 1-2
Scope and Contents

Letter containing calculations for the occultations of stars.

Dates: 1766
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Of infinite products, 1758

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Reference Code: GBR/0180/RGO 4/259
Scope and Contents

A treatise by Israel Lyons, including pieces to resolve an infinite product into an infinite series, to express fluents by infinite products and of interpoling series by infinite products. There are numerous examples of finding the value of a product.

Dates: 1758
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Solution of algebraic equations, 1760 - 1787

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Reference Code: GBR/0180/RGO 4/246
Scope and Contents

Differential method by Israel Lyons for the solution to algebraic equations using difference tables, with a loose price list for French science books of 1760-1787.

Dates: 1760 - 1787
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Solutions by the differential method, 1775

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Reference Code: GBR/0180/RGO 4/247
Scope and Contents

Differential method by Israel Lyons, with various algebraic equations and difference tables.

Dates: 1775
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Treatise of fluxions, 1758

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Reference Code: GBR/0180/RGO 4/242
Scope and Contents The original manuscript of Israel Lyons' 'Treatise of Fluxions', divided into twelve sections.1. The direct method of fluxions: i. Definitions; ii. Fluxions of the sum and differences of quantities; iii. Fluxions of rectangles and powers; iv. To find the relation of the fluxion from the relation of the fluents; v. Of 2nd, 3rd and 4th fluxions.2. The inverse method of fluxions: i. Of the fluents of simple quantities; ii. Newton's binomial theorem demonstrated; iii. Demoivre's...
Dates: 1758

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Mechanics 2
Astronomy 1
Cambridge 1
Greenwich 1
Marine navigation 1