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50

202

KIRCHER, Athanase.

Tariffa Kircheriana, id est inventum aucthoris novum Expeditâ, & mirâ arte

combinatâ methodo, universalmen Geometria, Arithmeticaae practicae summam continens.

Rome,

Nicola Angeli Tinassi, 1679.

2 volumes in-8 (136 x 88 mm) de 2

ff.n.ch

. (premier blanc, faux-titre),

III pp., 8

ff.n.ch

., 316 pp., 2

ff.n.ch

(errata, et dernier blanc), 24 planches gravées sur bois (la plupart

dépliantes) pour le volume I ; 202

ff.n.ch.

pour le volume II ; vélin rigide, dos à nerfs avec titre

manuscrit, tranches mouchetées

(reliure italienne de l’époque).

5 000 / 6 000

Backer-Sommervogel, IV, 1070 ; voir Vagnetti, EIIIb42 (pour les ouvrages d’optique) ; Merill, Athanasius

Kircher, 28.

Édition originale avec le texte révisé par Benedetto Benedetti.

The

Tariffa

, perhaps the rarest of all Kircher’s works and his least characteristic, is entirely mathematical

” (Merill).

L’ouvrage le plus rare d’Athanase Kircher (1602-1680), le

Tariffa

propose de nombreuses solutions

à des problèmes d’arithmétique et de géométrie. Le premier volume est essentiellement consacré à la

trigonométrie, le second volume contient des tables pour faciliter les calculs vectoriels, des surfaces,

et des formes géométriques. Le premier volume est richement illustré de 24 planches gravées sur bois.

The

Tariffa Kircheriana

offered a detailed description of the miraculous Kircherian combinatorial art that

would quickly allow all the princes and nobles of Europe – and presumably anyone else “occupied by more

important business” who could read Latin – to master all of geometry and arithmetic. In fact, Kircher himself

seems to have become exactly that sort of person by 1679 – at least this was how his associates described him

rather than acknowledging that he was no longer capable of completing his own books. Kircher consigned

the final preparation of the

Tariffa

to Benedetto Benedetti, professor of mathematics at la Sapienza, who

described how “new occupations of great moment” had obliged Kircher to offer him the privilege of becoming

his editor

” (Paul Findlen,

Athanasius Kircher. The last man who knew everything

, p. 4).

Bel exemplaire, bien conservé malgré quelques feuillets légèrement brunis.

First edition, published by Bendetto Benedetti, professor of arithmetics at La Sapienza. Volume one,

with a universal method of geometry and arithmetic after Kircher’s own invention, is lavishly illustrated

woodcuts on various subjects (architecture, land surveying, music, clock making, perspective,

projection, etc.). The second volume contains extensive tables for the calculations of vectors, surfaces,

triangles, squares, cubes, pyramids, etc.

Tariffa Kircheriana

is Kircher’s rarest title.