[Paris]: Author, . Full calf. 3 Volumes. 4to (24.2 cm x 19.0 cm). Contemporary French mottled calf binding, gilt floral panels, separate black morocco labeling, covers with border line tooling, wear to hinges, ends of spine and corners with minor loss, marbling on text block edging. Collation: Géometrie –- 193 pp. + 60 blank leaves; Algèbra –  -166 pp. + 46 blank leaves; Planches – pp. + 182 figures on 76 plates + 48 blank leaves. All plates are on stiff blue laid paper.
This course was taken by noted French economist Arthémond de Régny probably during his university training in the latter part of the 18 century. Each volume has been prepared well with very legible and precise script and geometric figures. The organization of the Geometry volume starts with Euclid with reference to figure in Plate volume for drawing. A number of problems is next with Solution and a number of Corollaries. The remainder of this volume deals with 50 theorems for plane and sold geometry. Each theorem is stated first followed by demonstration, then corollaries with further demonstration, construction, remark and ends with one or more problems along with solutions. The appropriate figure number present in the plate volume is noted where appropriate.
The volume on Algebra starts with basic addition, subtraction, multiplication and division. Next is a discussion of algebraic fractions, their reduction with same denominator, multiplication, division and equations. Numerous examples of equations and computations occupy the remainder of the manuscript. Included are problems for solving equations with one, two or three unknowns, occasionally presenting a solution with a second method. The end of the manuscript has problems for 2 unknowns of 2nd degree, division of irrationals and extracting the square root of a binomial.
Provenance: Arthémond [de] Régny bookplate on front pastedown of each volume. Very good. Item #0000693
Régny was a noted French economist who was invited around 1830 by Greek leader Capodistrias to assist Greece with their economic problems. Although Capodistrias was assassinated before he arrived, Régny stayed in Greece during the period of Regency (1833-1835). He went on to found and organize the State Audit Council, according to French ideals, and became its first chairman. He also assisted in the Foundation of the National Bank of Greece in 1841. Arthémond de Régny got married in 1798 to the Genoese woman, Catherine Castellini, who was the daughter of Balthasar and granddaughter of Domenico Castellini who conquered the Algerians in 1763. Balthasar Castellini was consul to Naples and subsequently in Cartagena (Spain), Marseille and Genoa. He was in charge of important missions by the royal court of Naples, and also held an outstanding position in the trade. The family Régny was originally from the province of Dombes. At the beginning of the eighteenth century, Francois Régny established his family in Genoa, where he was in charge of the "Direction of the diplomats for the King."