“
computists’. but I do not think this. it is true that, when we use them, their demonstration is not always present to the
mind: but neither is this the case generally in using mathematical theorems, or in the various steps of an Algebraical process.
we act on them however mechanically, & with confidence, as truths of which we have heretofore been satisfied by demonstration,
altho we do not at the moment retrace the processes which establish them. Hutton however in his Mathematical Dictionary, under
the terms ‘Circular parts’ & ‘Extremes’, has given us the rules, and in all their extensions to oblique spherical, & to plane
triangles. I have endeavored to reduce them to a form best adapted to my own frail memory, by couching them in the fewest
words possible, & such as cannot, I think, mislead, or be misunderstood . . .
”
Charles Hutton, 1737-1823, English mathematician, was professor of mathematics at the Royal Military Academy, Woolwich, and a fellow of
the Royal Society. The first edition of this work was published in 1798-1801, and was intended for the cadets at the Royal
Military Academy.
Robert Adrain, 1775-1843, American mathematical professor of Irish birth, held several important posts including those of professor of
mathematics at Rutgers College, Columbia College, and at the University of Pennsylvania where he became vice-provost.
[3683]
22
Not in the Manuscript Catalogue.
1815 Catalogue, page 109, no. 29, Hutton’s Mathematical and Philosophical Dictionary, 2 v 4to.
HUTTON,
Charles.
A Mathematical and Philosophical Dictionary: containing an Explanation of the Terms, and an Account of the several Subjects,
comprized under the heads Mathematics, Astronomy, and Philosophy both Natural and Experimental: with an Historical Account
of the Rise, Progress, and Present State of these Sciences: also Memoirs of the Lives and Writings of the most Eminent Authors,
both Ancient and Modern, who by their Discoveries or Improvements have contributed to the Advancement of them. In
Two Volumes. With many Cuts and Copper-plates. By Charles Hutton, LL.D. F.R. SS. of London and Edinburgh, and of the Philosophical Societies of Haarlem and America; and Professor of Mathematics
in the Royal Military Academy, Woolwich. Vol. I [-II].
London: printed by
J. Davis, for
J. Johnson; and
G. G. and J. Robinson,
m.dcc.xcvi,
mdccxcv
. [1796, 5.]
Q121 .H9 1795
First Edition. 2 vol. 4to. 330 and 379 leaves, printed in double columns, numerous diagrams and illustrations, 37 engraved numbered
plates, of which 12 are in the first volume; the first plate contains illustrations of air balloons, including those of Montgolfier,
Charles & Robert, and Blanchard.
Lowndes II, 1152.
Not in De Morgan.
Sotheran 2045.
See the note to the previous entry.
[3684]
23
L’Analyse de la probabilité des decisions. par Condorcet.
4
to.
1815 Catalogue, page 109, no. 33, as above.
CONDORCET,
Marie Jean Antoine Nicolas Caritat, Marquis de.
Essai sur l’Application de l’Analyse à la Probabilité des Décisions rendues à la Pluralité des Voix. Par M. le Marquis de
Condorcet, Secrétaire perpétuel de l’Académie des Sciences, de l’Académie Françoise, de l’Institut de Bologne, des
