304:
all touched by four other circles. In the present chapter we show how, given any three circles in a plane, we can add to them another circle, which we call the Hart circle, such that the four circles are all touched by four other circles (Hart, 'Quart. J. of Math.', IV (1861), p. 260). The three original circles are in fact touched by eight other circles, as we shall prove. There are fourteen ways of choosing, from these eight, four circles which touch another circle. In six of these ways, the four circles chosen have a common orthogonal circle; and the four circles consisting of the original circles, and their Hart circle, have also a common orthogonal circle. We have shown that circles in a plane may be regarded as projections of plane sections of a quadric. We prove the results enunciated as theorems for such plane sections. This appears greatly to increase the interest and clearness of the matter.
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33:
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Given three lines in a plane, there are four circles touching them; these circles, we know, are all touched by another circle, the nine-points circle (Feuerbach's theorem; see Vol. II). In other words, given three lines, we can add to them a circle such that the four, these lines and the circle, are
403:
Norah Searle Hart (1879-1965), Adelaide (Ada) Hart (1876-197?), George
Vaughan (Vaughan) Hart (1877-1928), Hilda Chichester Hart (1882-1967), Tristram Beresford Hart (1884-1963), Ruth Hart (1886-1977), Sir Andrew Searle Hart, Ethel Hart (1875-1964). All the minors shown except Ada were children of
1385:
Charles Mosley, editor. Burke's
Peerage, Baronetage & Knightage, 107th edition, 3 volumes (Wilmington, Delaware, U.S.A.: Burke's Peerage (Genealogical Books) Ltd, 2003), volume 2, page 2348.
172:, the 18th-century economist and civil servant. On the Murray side, Hart was a direct descendant of the Murrays of Cockpool and of Sir William Murray, who married Isabel Randolph, a sister of
1591:
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291:
Taking any three of the eight circles which touch three others, a circle can be described to touch these three, and to touch a fourth circle of the eight touching circles.
1356:'Extension of Terquem's theorem respecting the circle which bisects three sides of a triangle, Quarterly Journal of Pure and Applied Mathematics 4 (1861), 260–261.'
341:(1847-1908), a botanist and explorer, of Carrablagh House, Donegal, survived him. The youngest son, William Hume Hart (1852-1887) predeceased Sir Andrew.
388:
311:
In
February 1873, Hart made up part of the delegation sent to London on behalf of TCD to lobby members of parliament to vote against the
1596:
1368:'On the Linear Relations between the Nine Points of Intersection of a System of Plane Cubic Curves, Hermathena 6 (13) (1887), 286–289.'
108:
1581:
1338:'On the Form of Geodesic Lines through the Umbilic of an Ellipsoid, Proceedings of the Royal Irish Academy 4 (1847-1850), 274,' 1849.
229:
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1586:
1362:'On the Intersections of Plane Curves of the Third Order, The Transactions of the Royal Irish Academy 26, Science (1879), 449–452.'
369:
Sir Andrew Hart died suddenly at the house of his brother-in-law and cousin, George
Vaughan Hart, of Kilderry, County Donegal, on
1341:'Geometrical demonstration of some properties of geodesic lines, Cambridge and Dublin Mathematical Journal 4 (1849), 80–84.'
1216:
360:
192:
1344:'On geodesic lines traced on a surface of the second degree, Cambridge and Dublin Mathematical Journal 4 (1849), 192–194.'
505:
154:
191:, with whom he always preserved a warm friendship although they differed in politics. Hart graduated BA 1833, proceeded
173:
1353:'On the porism of the in-and-circumscribed triangle, Quarterly Journal of Pure and Applied Mathematics 2 (1858), 143.'
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on the same topic. This paper contains the result which became known as Hart's
Theorem, which is a generalisation of
150:
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134:
His father took possession of the
Glenalla and Carrablagh estates from the Murrays, to whom his wife was related.
1359:'On Nine-Point Contact of Cubic Curves, The Transactions of the Royal Irish Academy 25, Science (1875), 559–565.'
317:
He was elected Vice-Provost of TCD in 1876, and at this time undertook many of the duties of the then provost,
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14 March 1811. His grandfather, Lieutenant John Hart, a younger son of the family, was killed in action at the
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and by a private tutor before entering TCD in 1828, where he became the class-fellow and intimate friend of
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330:
1350:'An account of some transformations of curves, Cambridge and Dublin Mathematical Journal 8 (1853), 47–50.'
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He married in 1840 Frances, daughter of Sir Henry McDougall, Q.C., of Dublin; she died in 1876. Two sons,
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Extension of
Terquem's theorem respecting the circle which bisects three sides of a triangle
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1347:'An Elementary Treatise on Hydrostatics and Hydrodynamics,' 1846; another edit. 1850.
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Hart obtained much reputation as a mathematician, and published useful treatises on
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111:, County Donegal, and his wife Maria Murray, daughter of the Very Rev. John Hume,
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275:(1861). Hart wrote this paper after carrying out an investigation suggested by
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His mother, Maria Murray Hume, was from the same family as the philosopher
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32:
16:
Anglo-Irish mathematician and Vice-Provost of
Trinity College Dublin
1531: This article incorporates text from a publication now in the
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246:
116:
52:
157:, who is a proposed alternative to the authorship of the works by
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259:
Hart also served as
Professor of Real and Personal Property in
204:
1558:. Vol. 25. London: Smith, Elder & Co. pp. 56–57.
344:
Sir Andrew Hart took an active interest in the affairs of the
271:
Hart's most important contribution was contained in his paper
227:. Between 1849 and 1861 he contributed valuable papers to the
308:
Hart was co-opted as a Senior Fellow of TCD on 10 July 1858.
200:
196:
1335:'An Elementary Treatise on Mechanics,' 1844; 2nd edit. 1847.
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Donegall
Lecturers of Mathematics at Trinity College Dublin
107:
He was the youngest son of the Rev. George Vaughan Hart of
394:
Sir Andrew Hart with his eight grandchildren, Dublin, 1888
1365:'On Twisted Quartics, Hermathena 5 (10) (1884), 164–170.'
279:
in a letter to Hart. In addition, Hart corresponded with
81:
Mathematician and Vice-Provost of Trinity College, Dublin
321:, that ill health had permitted him from carrying out.
299:(1925), Henry Baker sums up Hart's Theorem as follows:
365:"in recognition of his academic rank and attainments."
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24. Rev. William Hume (scion of Home of Blackadder)
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207:on 15 June 1835. From 1847 to 1858 he was the
145:. Another relation, Sir Eustace Hart, married
168:. Sir Andrew's first cousin once removed was
408:. Ada was the daughter of William Hume Hart.
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1422:The Edwards in Scotland, 1296 – 1377
448:16. Captain Henry Hart (grandson of
642:2. Rev. George Vaughan Ledwich Hart
506:Sir Tristram Beresford, 1st Baronet
287:'s Theorem. Hart's Theorem states:
13:
1441:, 5th edition, Baltimore, 2002: 50
702:10. Nathaniel Barnard (brother of
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174:Thomas Randolph, 1st Earl of Moray
95:mathematician and Vice-Provost of
14:
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1597:19th-century Irish mathematicians
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151:John de Vere, 16th Earl of Oxford
1582:Alumni of Trinity College Dublin
1555:Dictionary of National Biography
1526:
504:17. Anne Beresford (daughter of
387:
324:
241:Quarterly Journal of Mathematics
236:Proceedings of the Irish Academy
209:Donegall Lecturer in Mathematics
1602:Scientists from County Limerick
1587:19th-century Anglo-Irish people
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1136:28. John Murray (son of George
421:Ancestors of Andrew Searle Hart
1502:Andrew Searle Hart (1811-1890)
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1439:The Magna Charta Sureties 1215
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932:12. Dr James Hume (brother of
1:
1424:, Edinburgh, 1901:61 & 66
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7:
1454:, Baltimore, Md., 2004: 682
1420:Bain, Joseph, FSA (Scot).,
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351:On 25 January 1886, he was
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1215:7. Jane Murray (sister of
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103:Early life and background
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359:by the lord-lieutenant,
704:Rt. Rev William Barnard
203:1840. He was elected a
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564:18. George Vaughan of
475:8. Colonel George Hart
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297:Principles of geometry
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277:William Rowan Hamilton
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97:Trinity College Dublin
25:Sir Andrew Searle Hart
1538:Boase, George Clement
1450:Richardson, Douglas,
1433:Weis, Fredk., Lewis,
1217:Brig-Gen. John Murray
339:Henry Chichester Hart
313:Irish University Bill
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249:lines and on curves.
1452:Plantagenet Ancestry
1099:3. Maria Murray Hume
1076:27. Elizabeth ?
1047:13. Elizabeth Rokeby
1024:26. Nathaniel Rokeby
762:5. Catherine Barnard
508:and Sarah Sackville)
153:and a sister of the
1542:Hart, Andrew Searle
1396:"Maria Murray Hume"
739:21. Isabella ?
591:9. Marianna Vaughan
406:George Vaughan Hart
331:George Vaughan Hart
183:He was educated at
159:William Shakespeare
155:17th Earl of Oxford
91:(1811–1890) was an
1192:29. Bathia Freeman
965:25. Jane Robertson
934:John Hume (bishop)
450:Captain Henry Hart
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115:, and was born at
89:Andrew Searle Hart
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1402:on 12 March 2017
1398:. Archived from
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1475:Boase 1891
1373:References
381:Photograph
373:1890-04-13
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166:David Hume
139:Henry Hart
123:1811-03-14
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