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147:, shapes whose area has the same numerical value (with a different set of units) as their perimeter. As Whitworth showed with D. Biddle in 1904, there are exactly five equable triangles with integer sides: the two
73:(first published in 1867 and extended over several later editions). The first edition of the book treated the subject primarily from the point of view of arithmetic calculations, but had an appendix on
35:; his father, William Whitworth, was a school headmaster, and he was the oldest of six siblings. He was schooled at the Sandicroft School in Northwich and then at
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with side lengths (5,12,13) and (6,8,10), and the three triangles with side lengths (6,25,29), (7,15,20), and (9,10,17).
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from 1862 to 1864. He returned to
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Choice and Chance: An
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from 1866 to 1870 and of Christ Church in
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Among the other contributions in this book, Whitworth was the first to use
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of a set, in the 1886 edition. These numbers had been studied earlier by
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257:(1967). "William Allen Whitworth and a Hundred Years of Probability".
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Introduction to Probability Theory and its Applications, Volume I
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History of the Theory of
Numbers, Volume Il: Diophantine Analysis
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in 1865, and became a priest in 1866. He served as the
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228:"Whitworth, William Allen"
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58:Messenger of Mathematics
426:Dickson, Leonard Eugene
167:of St Anne's Church in
100:to count the number of
87:frequentist probability
17:William Allen Whitworth
486:English mathematicians
372:Aldrich, John (2007).
31:Whitworth was born in
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124:of a random variable
67:trilinear coordinates
301:Mathematics Magazine
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511:People from Runcorn
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190:He was the
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169:Birkenhead
65:and about
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194:in 1903.
45:Liverpool
428:(2005),
398:(2011),
379:13 March
356:(1968).
340:17260512
141:geometry
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