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, London.

Carmichael, R. (1855), A Treatise on the Calculus of Operations, Longman, Brown, Green and Longmans, London.

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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