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Gentleman's Magazine 1791 p.1063
of some of those preceeding, his memory was of the utmost
service to him; and as it did not require much knowledge in
classical education, but primarily in the management of
straight lines, it was a study just to his mind: for while
he was attending the business of his farm, and humming over
some tune or other, with a sort of whistle, his attention
was certain to be solely engaged upon some of his
geometrical propositions, and with the assistance of a piece
of chalk, upon the lap of his breeches-knee, or any other
convenient spot, he would clear up the most difficult parts
of the science in a most masterly manner. His mind now being
open a little to the works of Nature, he paid particular
attention to the theory of the earth, the moon, and the rest
of the planets belonging to this system, of which the sun is
the centre; and, considering the distance and magnitude of
the different bodies belonging to it, and the distance of
the fixed stars, he soon conceived each to be the centre of
a different system. He well considered the laws of gravity,
and that of the centripetal and centrifugal forces, and the
cause of the ebbing and flowing of the tides; also, the
projection of the sphere, stereographic, orthographic, and
gnomical; also, trigonometry and astronomy. He paid
particular attention to, and was never better pleased than
when he found his calculations agree with observation: and
being well acquainted with the projection of the sphere, he
was fond of describing all astronomical questions
geometricaly, and of projecting the eclipses of the sun and
moon that way.
By this time he was possessed of a small library. He next
turned his thoughts to algebra, and took up Emerson's
treatise on that subject; and though the most difficult, and
that, with Simpson's, are the best authors yet published, he
went through it with great success, and the management of
surd quantities, and clearing equations of higher powers,
were amusement to him while at work in the fields, as he
generally could perform them by his memory; and if he met
with any thing very intricate, he had recourse to a piece of
chalk, as in his geometrical propositions. The arithmetick
of infinities, and the differential method, he made himself
master of, and found out that algebra and geometry were the
very soul of mathematicks. He therefore paid a particular
attention to them, and used to apply the former to almost
every branch of the different sciences. The art of
navigation, the principles of mechanicks, also, the doctrine
of motion, of falling bodies, and the elements of opticks,
he grounded himself in; and, as a preliminary to fluxions,
which had only lately been discovered by Sir Isaac Newton,
as the boundary of the mathematicks, he went through conic
sections, &c. to make a trial of this last and finishing
branch. Though he expressed some difficulty at his first
entrance, yet he did not rest till he made himself master of
both a fluxion and a flowing quantity.
As he had paid a similar attention to all the intermediate
parts, he was become so conversant in every branch of the
mathematicks, that no question was ever proposed to him
which he did not answer, nor any rational question in the
mathematicks, that he ever thought of, which he did not
comprehend. He used to answer all the questions of the
Gentleman and Lady's Diaries, the Palladium, and other
annual publications, for several years; but his answers were
seldom inserted, except by, or in the name of some other
persons, for he had no ambition in making his abilities
known, farther than satisfying himself that nothing passed
him which he did not understand. He frequently has had
questions from his pupils and other gentlemen in London, the
universities, and different parts of the country, as well as
from the university of Gottingen, in Germany, sent him to
solve, which he never failed to answer; and, from the minute
enquiry he made into natural philosophy, there was scarcely
a phaenomenon in nature, that ever came to his knowledge or
observation, but he could, in some measure or other,
reasonably account for it. -
He went by the name of Willy o' th' Hollins for many years
after he left the place. He removed to Tarngreen, where he
lived about 15 years, and from thence to the neighbourhood
of Cartmell, and was best known by the name of Willy Gibson,
still continuing his occupation as before. For the last
forty years of his life he kept a school of about eight or
ten gentlemen, who boarded and lodged at his own farm-house;
and having a happy turn of explaining his ideas, he has
turned out a great many very able mathematicians, and a
great many more gentlemen he has instructed in accompts, for
the counting-house, as well as for the sea, and for
land-surveying, which profession he followed himself for
these last forty years and upwards. In the course of his
life he had had a very great practice that way; and, having
acquired a little knowledge of drawing, could finish plans
in a very pretty manner. He has been several times
appointed, by acts of parliament, a commissioner for the
inclosing of commons, and was a very proper person for that
purpose; for, as well as his practice in land-surveying, he
had equal experience and judgement in the quality of
land, as well as the quantity: also in levelling or
conveying of water from one place to another, for he was
well acqainted with the curvature of the earth's surface.
He used to study incessantly, during the greatest part of
the night; and in the day-time, when in the fields, his
pupils frequently went to him, to have their different
difficulties removed. He was fond of all who knew him. He
has left a disconsolate widow, to mourn for the loss of an
indulgent and affectionate husband. They has been married,
and lived together in the
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