FABRE (Jean-Henri). Algebra. Rectilinear... - Lot 10 - Métayer-Mermoz Maison de Ventes aux Enchères Paris

FABRE (Jean-Henri). Algebra. Rectilinear trigonometry. Autograph manuscript. Orange, 7 August-19 September 1871, 298 pp. in-folio (28 x 19.3 cm), in sheets, central fold. COMPLETE MANUSCRIPT OF THE ALGEBRA AND TRIGONOMETRY COURSE. It consists of two parts: the first, in 15 chapters numbered I to XV, deals with Algebra (pp. [1] to 228) and the second, in 5 chapters numbered I to V, deals with Trigonometry (pp. 229 to 297; 270 bis). First part: Algebra. Chapter I. Preliminaries (pp. [1] to 16). - II. Algebraic addition and subtraction (pp. 17-28). - III. Algebraic multiplication (pp. 29-40). - IV. ALGEBRAIC MULTIPLICATION (PP. 29-40). Algebraic divisions (pp. 41-61). - V. Algebraic fractions (pp. 62-71). - V. ALGEBRAIC FRACTIONS (PP. 62-71). Equations in general (pp. 72-79). - VII. Equations from the first degree to an unknown (pp. 80-100; stamps stuck on the back of p. 94). - VIII. Equations of the first degree with several unknowns (pp. 101-118). - IX. Indeterminate analysis of the first degree (pp. 119-130). - X. Square and square root of algebraic quantities (pp. 131-142). - XI. Equations of the second degree to an unknown (pp. 143-168). - XII. Maximum and minimum solvable by the second degree equation (pp. 169-177). - XIII. The theory of logarithms (pp. 178-204). - XIV. Progressions (pp. 205-220). - XV. Compound interest and annuities (pp. 221-228). - Part Two: Rectilinear Trigonometry. Chap. I. Trigonometric lines. Their relations (pp. 229-252; the last sheet is stained). - II. Calculation of the main formulae (pp. 253 to 262). - III. Trigonometric tables (pp. 263-271; 270 bis). - IV. Relationships between the elements of a triangle (pp. 272-281). - V. Resolution of triangles (pp. 282-297). This course follows on from the arithmetic works published by Fabre from 1869 onwards. It was published under the title: "Cours complet de sciences élémentaires. Algèbre et trigonométrie, à l'usage de tous les