FABRE (Jean-Henri). [Notes in Mathematics... - Lot 1 - Métayer-Mermoz Maison de Ventes aux Enchères Paris

FABRE (Jean-Henri). [Notes in Mathematics and Physics]. Autograph manuscript. S.l.n.d. ca. 1845-1850], 480 pp. in-folio (ca. 29 x 20 cm), paperback or paperback. IMPORTANT MANUSCRIPT OF FABRE'S WORK, SHOWING HIS PASSION FOR MATHEMATICAL AND PHYSICAL SCIENCES. It consists of 4 bound notebooks (94, 85, 93 and 50 pp. respectively), 1 booklet in sheets (36 pp.) and a set of separate sheets preserved in an old folder (122 pp.). The illustration is composed of 18 carefully executed geometric drawings in the 4th notebook, as well as numerous mathematical or geometric sketches inserted throughout the text: logarithmic spiral, parabola, ellipse, cycloid, curves, polygons, etc. The text is illustrated by a series of drawings in the 4th notebook. The text consists of a succession of mathematical and physics problems studied by Fabre. A few pages of explanatory text can be found in the 1st and 4th booklets; the rest of the manuscript includes only mathematical calculations involving polynomials, square roots, equations, trigonometric functions, derivatives, differentials and integrals. The following topics are noted: conservation of the movement of the centre of gravity, principle of areas, calculations relating to the centrifugal force, movement of a projectile in the air, quadratures of plane surfaces, integration of a formula relating to the movement of the pendulum in vacuum, series which expresses the duration of an oscillation, movement of a material point on the cycloid, search for the tautochrone curve in vacuum, development of the chain and various properties, calculations relating to the contingency angle, demonstration of the principle of living forces, demonstration of the principle of the least action. Jean-Henri Fabre had been a schoolteacher in Carpentras since 1842 and passed his bachelor's degree in mathematics in 1846. The following year, he obtained his licence ès sc