J.M.W. Turner: Sketchbooks, Drawings and Watercolours

ISBN 978-1-84976-386-8
J.M.W. Turner > 1802-18 Academician and professor > Perspective lectures c.1809-28 > III. Diagrams after Samuel Cunn's ... > Artwork

Joseph Mallord William Turner Lecture Diagram: 'Euclid's Elements of Geometry', Book 12, Proposition 15 c.1817-28

Joseph Mallord William Turner, ‘Lecture Diagram: 'Euclid's Elements of Geometry', Book 12, Proposition 15’ c.1817-28
Joseph Mallord William Turner 1775–1851
Lecture Diagram: ‘Euclid’s Elements of Geometry’, Book 12, Proposition 15 circa 1817–28
D17016
Turner Bequest CXCV 46
Pencil and watercolour on white wove paper, 488 x 690 mm
Watermarked ‘J WHATMAN | TURKEY MILLS | 1817’
Inscribed by Turner in black watercolour with various initial letters within diagram
Inscribed by John Ruskin in red ink ‘46’ bottom right
 
Accepted by the nation as part of the Turner Bequest 1856
Prepared in connection with his lectures as Professor of Perspective at the Royal Academy, Turner’s diagram is based on an illustration from Samuel Cunn’s Euclid’s Elements of Geometry (London 1759, Book 12, Plate 2). It represents Proposition 15 from Book 12: ‘Theorem. The bases and altitudes of equal cones and cylinders are reciprocally proportional; and cones and cylinders, whose bases and altitudes are reciprocally proportional, are equal to one another’.1
1
Cunn 1759, pp.267–8.
Technical notes:
Peter Bower states that the sheet is Super Royal size Whatman paper made by Finch and Thomas Robert Hollingworth, at Turkey Mill, Maidstone, Kent.1
1
Notes in Tate catalogue files.
Verso:
Blank, save for an inscription by an unknown hand in pencil ‘52’ bottom left.

Andrea Fredericksen
June 2004

Supported by The Samuel H. Kress Foundation

Revised by David Blayney Brown
January 2012

How to cite

Andrea Fredericksen, ‘Lecture Diagram: ‘Euclid’s Elements of Geometry’, Book 12, Proposition 15 c.1817–28 by Joseph Mallord William Turner’, catalogue entry, June 2004, revised by David Blayney Brown, January 2012, in David Blayney Brown (ed.), J.M.W. Turner: Sketchbooks, Drawings and Watercolours, Tate Research Publication, December 2012, https://www.tate.org.uk/art/research-publications/jmw-turner/joseph-mallord-william-turner-lecture-diagram-euclids-elements-of-geometry-book-12-r1136722, accessed 18 April 2024.