John Wallis - Elenchus geomeiriae Hobbianae, an attack on the work of Thomas Hobbes
In the 17th century, the method of exhaustion led to the rectification by geometrical methods of several transcendental curves: the logarithmic spiral by Evangelista Torricelli in 1645 (some sources say John Wallis in the 1650s), the cycloid by Christopher Wren in 1658, and the catenary by Gottfried Leibniz in 1691.
Extending work by John Wallis who calculated such areas for y = (1 − x2)n with n = 0, 1, 2, 3, ... he considered fractional exponents.
1668: Both William Holder and John Wallis, an English mathematician, taught a deaf man to speak "plainly and distinctly, and with a good and graceful tone".
By the early nineteenth century, educational games were being created, such as "The Historical Game of Grecian History", created by John Wallis.
His arguments published by Giovanni Battista Riccioli in his Almagestum novum (1651) and later resumed by John Wallis and Isaac Newton.
The term "hypergeometric series" was first used by John Wallis in his 1655 book Arithmetica Infinitorum.
Newton's method was first published in 1685 in A Treatise of Algebra both Historical and Practical by John Wallis.
The design of the mid-eighteenth-century house by James Bridges, for Thomas Tyndall KCB, was a compromise between the separate designs of architects Thomas Paty, John Wallis and himself.
In 1646 John Wallis received from Foster a theorem on spherical triangles which he afterwards published in his Mechanica.
He was the first in England to take interest in generalized continued fractions and, following the work of John Wallis, he provided development in the generalized continued fraction of pi.
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The apparent paradox formed part of a great dispute over the nature of infinity involving many of the key thinkers of the time including Thomas Hobbes, John Wallis and Galileo Galilei.
Before or around this time, Nieuwland had found the largest cube that can pass through a hole in a unit cube, a problem that had been posed 100 years earlier by Prince Rupert of the Rhine and given an inferior solution by English mathematician John Wallis.