Samuel Foster
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Samuel Foster ( 1600 – July 1652) was an English mathematician and astronomer. He made several observations of
eclipse An eclipse is an astronomical event that occurs when an astronomical object or spacecraft is temporarily obscured, by passing into the shadow of another body or by having another body pass between it and the viewer. This alignment of three ce ...
s, both of the sun and moon, at Gresham College and in other places; and he was known particularly for inventing and improving planetary instruments.


Life

A native of Northamptonshire, he was admitted a sizar at
Emmanuel College, Cambridge Emmanuel College is a constituent college of the University of Cambridge. The college was founded in 1584 by Sir Walter Mildmay, Chancellor of the Exchequer to Elizabeth I. The site on which the college sits was once a priory for Dominican mon ...
on 23 April 1616, as a member of which he proceeded B.A. in 1619, and M.A. in 1623. On the death of
Henry Gellibrand Henry Gellibrand (1597–1637) was an English mathematician. He is known for his work on the Earth's magnetic field. He discovered that magnetic declination – the angle of dip of a compass needle – is not constant but changes over time. He ...
, he was elected
Gresham Professor of Astronomy The Professor of Astronomy at Gresham College, London, gives free educational lectures to the general public. The college was founded for this purpose in 1597, when it appointed seven professors; this has since increased to ten and in addition the ...
on 2 March 1636, but resigned later in the year and was succeeded by
Mungo Murray Mungo David Malcolm Murray, 7th Earl of Mansfield and Mansfield (9 August 1900 – 2 September 1971), styled Lord Scone from 1906 to 1935, was a Scottish Unionist Party politician. Mansfield was the son of Alan Murray, 6th Earl of Mansfield and ...
. In 1641, Murray having vacated the professorship by his marriage, Foster was re-elected on 26 May. During the civil war and Commonwealth he was one of the society of gentlemen who met in London for cultivating the 'new philosophy,' in the group around
Charles Scarburgh Sir Charles Scarborough or Scarburgh MP FRS FRCP (29 December 1615 – 26 February 1694) was an English physician and mathematician.Robert L. Martensen, "Scarburgh, Sir Charles (1615–1694)", ''Oxford Dictionary of National Biography'' (Oxfor ...
. In 1646
John Wallis John Wallis (; la, Wallisius; ) was an English clergyman and mathematician who is given partial credit for the development of infinitesimal calculus. Between 1643 and 1689 he served as chief cryptographer for Parliament and, later, the royal ...
received from Foster a theorem on spherical triangles (two antipodal triangles, that is two triangles formed from corresponding antipodal vertices, are congruent) which he afterwards published in his ''Mechanica''. Wallis's retrospective account of the origins of the Royal Society made Foster's lectures a rendezvous of the London-based Scarburgh- Jonathan Goddard group; but it is disputed to what extent this connection was with Gresham College and its tradition, rather than simply the location. Christopher Hill, ''Intellectual Origins of the English Revolution'' (1965), p. 100. Foster died at Gresham College in May 1652, and was buried in the church of
St. Peter the Poor St Peter le Poer was a parish church on the west side of Broad Street in the City of London. Of medieval origin, it was rebuilt in 1540, and again in 1792 to a design by Jesse Gibson with a circular nave. It was demolished in 1907. Early histo ...
in Broad Street.


Works

He published little himself, but many treatises written by him were printed after his death, though
John Twysden John is a common English name and surname: * John (given name) * John (surname) John may also refer to: New Testament Works * Gospel of John, a title often shortened to John * First Epistle of John, often shortened to 1 John * Seco ...
and Edmund Wingate, his editors, state that long illness caused them to be left very imperfect, and Twysden complains that some people had taken advantage of his liberality by publishing his works as their own (Preface to Foster's ''Miscellanies''). In the following list of Foster's works, only the first two were published before his death:
''The Use of the Quadrant''
London, 1624. An octavo edition was published soon after the author's death in 1652 by A. Thompson, who says in his preface that the additional lines were invented, and the uses written, for an 'appendix' to Edmund Gunter's 'Quadrant;' only a few copies were printed alone for Foster's friends. It was republished in the 5th edition of ''The Works of Edmund Gunter'' (1673, pp. 129–164). *''The Art of Dialling; by a new, easie, and most speedy way'', London, 1638.
transcript from EEBO
An edition published in 1675, has several additions and variations taken from the author's own manuscript, and also a 'Supplement' by the editor, William Leybourn.
John Collins John Collins may refer to: Arts and entertainment * John Collins (poet) (1742–1808), English orator, singer, and poet * John Churton Collins (1848–1908), English literary critic * John H. Collins (director) (1889–1918), American director an ...
published in 1659 ''Geometrical Dyalling, being a full explication of divers difficulties in the works of learned Mr. Samuel Foster''
transcript from EEBO
. *''Posthuma Fosteri, the description of a ruler, upon which is inscribed divers scales and the uses thereof''. dited by Edmund Wingate London, 1652.
transcript from EEBO

''Elliptical or Azimuthal Horologiography''
edited by John Twysden and Edmund Wingate, 4 pts, London, 1654.
transcript from EEBO
*
''Elliptical or Azimuthal Horologiography''
*
''Circular Horologiography''
*
''Rectilineal or Diametral Horologiography''
*
''Elliptical Horologiography''

''Miscellanea: siue lucubrationes mathematics''
'Miscellanies: or Mathematical lucubrations'' edited by John Twysden, a collection of works by Foster written in English and Latin, some translated by Twysden, with a few intermediate additions by Twysden and a few works by other authors appended by publisher William Leybourn. Latin and English, 19 pts. fol. London, 1659.
alternative scan from e-rara
The sections by Foster are: *
''Stellae Fixae''
'Catalog of Fixed Stars'' *
''Astroscopium''
*
''De Instrumentis Planetariis''
'Of the Planetary Instruments''*
''Observationes Eclipsium''
*
''Ratio facillima Computandi altitudinem Solis horariam ad quamlibet latitudinem''
'An easie way to calculate Tables of the Suns Horarie altit. for any latitude''*
''Problemata Geometrica Varia''
'Various Geometrical Problems''*
''Problemata Quaedam succincta condendi Canones Sinuum, Tangentium, & Secantium''
'Forming Tables of Sines, Tangents, & Secants''*
''Demonstratio Quadrantis Horometrici''
'Demonstration of a Horometrical Quadrant''*
''Epitome Aristarchi Samii De Magnitudinibus, & Distantiis trium Corporum, Solis, Lunae, & Terrae''
epitome An epitome (; gr, ἐπιτομή, from ἐπιτέμνειν ''epitemnein'' meaning "to cut short") is a summary or miniature form, or an instance that represents a larger reality, also used as a synonym for embodiment. Epitomacy represents "t ...
of
Aristarchus of Samos Aristarchus of Samos (; grc-gre, Ἀρίσταρχος ὁ Σάμιος, ''Aristarkhos ho Samios''; ) was an ancient Greek astronomer An astronomer is a scientist in the field of astronomy who focuses their studies on a specific question or ...
's '' On the Sizes and Distances'' *
''Lemmata Archimedis''
translation by John Greaves of the '' Book of Lemmas'' by
Archimedes Archimedes of Syracuse (;; ) was a Greek mathematician, physicist, engineer, astronomer, and inventor from the ancient city of Syracuse in Sicily. Although few details of his life are known, he is regarded as one of the leading scientists ...
from Arabic to Latin, revised by Foster *
''The Geometrical Square''
*
''Of Projection''
*
''Precepts Concerning Refracted Dials''

''The Sector Altered; and Other Scales Added''
an improvement of Gunter's sector, printed in ''The Works of Edmund Gunter'', 4th edition (1662) and 5th edition (1673, pp. 157–195), by William Leybourn, who in the latter edition corrected some mistakes which had appeared in the former from Foster's own manuscript.
''The Description and Use of the Nocturnal''
ondon? 1685? Foster left numerous manuscript treatises in addition to those printed by his friends. Of these two were in the possession of William Jones, F.R.S.: ''The Uses of a General Quadrant'', and ''Select Uses of the Quadrant'', dated 1649.


Notes


References

* * * * * * * {{DEFAULTSORT:Foster, Samuel 1652 deaths 17th-century English mathematicians 17th-century English astronomers 1600s births