John EA Steggall (1855-1935)
City of London School 1868-1874
Trinity College, Cambridge 1874-1878; 2nd wrangler, 1st Smith's Prize
Mathematics teacher, Clifton College 1878-1879
Lecturer, Manchester University 1879-1882
Professor of Mathematics and Natural Philosophy, University College, Dundee
1883-1933
His obituary in Proceedings of the Edinburgh Mathematical Society
4(1934-36), pp.270-271, lists his mathematical interests as being elementary
number theory, curves described by mechanical linkages; and construction of
geometrical figures.
I don't have the obituary to hand, but it may contain a definitive answer
to your question. [The above information comes from a database I have
constructed which contains information about 19/20th century British
mathematicians and mathematics, and which will soon be available on the
Web. I will alert the list as soon as it becomes 'live'. ] For further
information on Steggal consult: Hilary Mason 'The Life and Work of Professor
Steggal', Msc thesis (Dundee University, 1997), of which there is an
abstract in the BSHM Newsletter 38 (Spring 1998), p.40-41.
June Barrow-Green
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Dr June Barrow-Green
Faculty of Mathematics & Computing
The Open University
Walton Hall
Milton Keynes MK7 6AA
UK
Tel: +44 (0) 1908 652351 Fax: + 44 (0) 1908 652140
+44 (0) 171 226 4555
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-----Original Message-----
From: Antreas P. Hatzipolakis <xpolakis@otenet.gr>
To: historia-matematica@chasque.apc.org
Date: 18 April 1999 22:05
Subject: [HM] Steggal
> I found in an Euclidean geometry book (in Greek) an interesting theorem
> attributed to STEGGAL.
>
> Does anyone know who Steggal was?
>
>
> Antreas
>
>
> PS: To readers interested in Euclidean Geometry:
>
> The Steggal's Theorem states:
> Let ABC be a triangle, and P a point (on the same plane).
> If D,E,F are the projections of P on BC, CA, AB, and O, R the circumcenter,
> circumradius respectively, then :
> area(DEF) / area(ABC) = |R^2 - OP^2| / 4R^2
>
> Corollary:
> Let ABC be a triangle, and H, O, the orthocenter, circumcenter
> respectively.
> Let A_1,B_1,C_1 be the projections of the O on the sides of the orthic
> triangle, and A_2,B_2,C_2 the projections of the H on the sides of the
> same triangle (:orthic). Then area(A_1B_1C_1) = area(A_2B_2C_2)
>
> APH