Rationale of Circulating Numbers: With the Investigations of All the Rules and Peculiar Processes used in that Part of Decimal Arithmetic. To Which are added, Several Curious Mathematical Questions; With Some useful Remarks on Adfected Equations, and the Doctrine of Fluxions. Adapted to t

London: Printed for the Author; and sold by Mr. Murray, 1777. The Rationale of Circulating Numbers. With the Investigations of All the Rules and Peculiar Processes used in that Part of Decimal Arithmetic. To Which are added, Several Curious Mathematical Questions; With Some useful Remarks on Adfected Equations, and the Doctrine of Fluxions. Adapted to the Use of Schools. London: Printed for the Author; and sold by Mr. Murray, 1777.

First edition. Octavo (8 3/16 x 5 inches; 209 x 127 mm). xvi, [2, table of contents], [15]-146, [4, blank], 147-148, [4, blank], 149-215, [3, publisher's ads], [1, errata], [1, blank] pp. With seven folding engraved plates. We could find no copies of this at auction in the past fifty years. According to ESTC " The contents leaf after p.xiv is possibly an insert" thus explaining the lack of pagination.

Contemporary calf, rebacked with original spine. Remnants of a red spine label. Outer hinges repaired. Some rubbing and scuffing to boards. With about eight pages of a previous owners extensive hand-written notes in old ink. Some of these pages are blanks. Previous owner's name on verso of errata in old ink. Old ink notes on back paste-down. A bit of foxing and dampstaining throughout. Overall a very good copy of this scarce item.

"The principle Design then of this Treastise is, to retrench all those Superfluities (as I may call them) which Cunn and others have loaded the Theory of Circulating Decimals with; and to shew, that the while Business depends upon, or may be deduced from, this one single Operation, that finding a finite Vulgar Fraction equivalent to an infinite Repeating Decimal. This being once understood, the Rationale of all the Rules will be obvious; and a Pupil will then go on, not only with Pleasure, but with Speed..." (from the Preface).

ESTC T101233

HBS 66692.

$1,750.