Joseph Mallord William Turner

Lecture Diagram: ‘Euclid’s Elements of Geometry’, Book 6, Proposition 33

c.1817–28

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Artist
Joseph Mallord William Turner 1775–1851
Medium
Graphite and watercolour on paper
Dimensions
Support: 583 x 870 mm
Collection
Tate
Acquisition
Accepted by the nation as part of the Turner Bequest 1856
Reference
D17017
Turner Bequest CXCV 47

Catalogue entry

Prepared in connection with his lectures as Professor of Perspective at the Royal Academy, Turner’s diagram of three equal circles is based on part of an illustration from Samuel Cunn’s Euclid’s Elements of Geometry (London 1759, Book 6, Plate 2). It represents Proposition 33: ‘Theorem. In equal circles the angles have the same proportion with the circumferences on which they stand, whether the angles be at the centres, or at the circumferences; and so likewise are the sectors, as being the centres’.1 Turner completes the Proposition in another diagram (Tate D17005: Turner Bequest CXCV 35). There is a related pencil sketch in Turner’s lecture notes.2
1
Cunn 1759, pp.186–9.
2
Turner, ‘Royal Academy Lectures’, circa 1807–38, Department of Western Manuscripts, British Library, London, ADD MS 46151 W folio 4.
Technical notes:
Peter Bower states that the sheet is Colombier size Whatman paper made by William Balston, at Springfield Mill, Maidstone, Kent.1
1
Notes in Tate catalogue files.
Verso:
Blank, save for an inscription by an unknown hand in pencil ‘10’ bottom left.

Andrea Fredericksen
June 2004

Supported by The Samuel H. Kress Foundation

Revised by David Blayney Brown
January 2012

Read full Catalogue entry

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