History and Hermeneutics for Mathematics
Education
Storia
ed Ermeneutica per la Didattica della Matematica
De Nihilo Geometrico by Torelli (1758)
De Nihilo Geometrico di Torelli (1758)
Torelli, G. (1758), De
nihilo geometrico libri II, Carattoni, Verona
TORELLI Giuseppe (1721-1781)
“I. Unitas est,
per quam unumquodque eorum, quæ sunt, dicitur unum. II. Nihilum est, per quam unumquodque
eorum, quæ non sunt, dicitur nihilum. Dicitur autem unum aliquid non esse, quod
antea quum esset, non esse amplius concipitur” (De
nihilo geometrico, p. 15).
“V. Comparatio
est duorum quorumdam mutua collatio” (De
nihilo geometrico, p. 15).
Ax. I. 1 × 1 = 1
Ax. II. 1 : 1 = 1
Ax. III. 0 - 0 = 0
Ax. IV. 0 × 0 = 0
Ax. V. 0 : 0 = 1
(De nihilo geometrico,
pp. 16-17)
See moreover:
Si veda inoltre:
L’Hospital, G. de (1716), Analyse
des infiniment petits, Papillon, Paris (II ed.).
Newton, I. (1740), Le methode des fluxions et
des suites infinites, Debure, Paris (I ed.: 1736).
Euler,
L. (1787) Institutiones
Calculi Differentialis cum eius usu in Analysi Finitorum ac Doctrina Serierum,
I, II, Galeati, Pavia (II ed.; I ed.: 1755).
Euler,
L. (1796), Introduction
a l’Analyse Infinitésimale, I, II, Barrois, Paris (I ed. in French).
Brunacci,
V. (1804), Corso
di Matematica sublime, I, II, Allegrini, Firenze.
Lagrange, J.L. (1813), Théorie
des fonctions analytiques, Courcier, Paris.
Cauchy, A.L. (1836), Vorlesungen uber die Differenzialrechung,
Meyer, Braunschweig.
Lacroix, S.F. (1837), Traité
elementaire du Calcul Différentiel et du Calcul Intégral, Bachelier, Paris
(V ed.).
De Morgan, A. (1842), The
differential and integral Calculus, Baldwin and Cradock,
Carmichael, R. (1855), A
Treatise on the Calculus of Operations, Longman, Brown, Green and Longmans,
Sturm, Ch. (1868), Cours d’Analyse, I, II,
Gauthier-Villars, Paris.
Carnot, L.N.M. (1881), Réflections
sur la métaphisique du Calcul Infinitésimal, Gauthier-Villars, Paris (I
ed.: 1797).
Laurent, H. (1885-1887-1888), Traité
d’Analyse, I, II, III, Gauthier-Villars, Paris.
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