ichard
Bentley, he published the second edition of Newton's Principia with an
original preface. He died on the 5th of June 1716, leaving unfinished a
series of elaborate researches on optics, and a large amount of
unpublished manuscript. He contributed two memoirs to the _Philosophical
Transactions_, one, "Logometria," which discusses the calculation of
logarithms and certain applications of the infinitesimal calculus, the
other, a "Description of the great fiery meteor seen on March 6th,
1716." After his death his papers were collected and published by his
cousin and successor in the Plumian chair, Dr Robert Smith, under the
title _Harmonia Mensurarum_ (1722). This work included the "Logometria,"
the trigonometrical theorem known as "Cotes' Theorem on the Circle" (see
TRIGONOMETRY), his theorem on harmonic means, subsequently developed by
Colin Maclaurin, and a discussion of the curves known as "Cotes'
Spirals," which occur as the path of a particle described under the
influence of a central force varying inversely as the cube of the
distance. In 1738 Dr Robert Smith published Cotes' _Hydrostatical and
Pneumatical Lectures_, a work which was held in great estimation. The
exceptional genius of Cotes earned encomiums from both his
contemporaries and successors; Sir Isaac Newton said, "If Mr Cotes had
lived, we should have known something."

COTES-DU-NORD, a maritime department of the north-west of France, formed
in 1790 from the northern part of the province of Brittany, and bounded
N. by the English Channel, E. by the department of Ille-et-Vilaine, S.
by Morbihan, and W. by Finistere. Pop. (1906) 611,506. Area, 2786 sq. m.
In general conformation, Cotes-du-Nord is an undulating plateau
including in its more southerly portion three well-marked ranges of
hills. A granitic chain, the Monts du Mene, starting in the south-east
of the department runs in a north-westerly direction, forming the
watershed between the rivers running respectively to the Channel and the
Atlantic Ocean. Towards its western extremity this chain bifurcates to
form the Montagnes Noires in the south-west and the Montagne d'Arree in
the west of the department. The rivers of the Channel slope are the
Rance, Arguenon, Gouessan, Gouet, Trieux, Treguier and Leguer, while the
Blavet, Meu, Oust and Aulne belong to the southern slope. Off the coast,
which is steep, rocky and much indented, are the Sept-Iles, Brehat and
other small islands. The principal b