La Prospettiva di Euclide, nellaquale si tratta di quelle cose, che per raggi diritti so veggono: & di quelle, che conraggi restessi nelli Specchi appariscono. Tradotta dal R. P. M. Egnatio Danti Cosmografo del Seren. Gran Duca di Toscana. Con alcune sue Annotationi de'luoghi piu importanti. Insieme con La Prospettiva di Eliodoro Larisseo cauata della Libreria Vaticana, e tradotta dal medesimo nuovamente data in luce.

Published: [Florence] In Fiorenza: Nella Stamperia de'Giunti:

Date: 1573

first edition thus 3 parts in one 4to. [8], 110, [2 (blank & type ornament); [16 (Heliodorus La Prospettiva)]; [13 (Heliodorus Capita Opticorum)], [5 (table of contents, register, colophon, errata, &c.)], divisional title pages to the two later sections, numerous woodcut figures and attractive woodcut initial letters, large woodcut of the earth on title page, last section with Greek and Latin versions printed in two parallel columns on each page, type ornaments, no terminal blank leaf T2, small neat and attractive old stamp on verso of title leaf, few very skilful minor marginal paper repairs, very sympathetic modern contemporary style vellum with yapp fore-edges. Fine fresh copy.

ADAMS E1021 Collation: *4, A-S4, T2 (T2 a blank) An early edition of Euclid's Optica and the first in the Italian vernacular. The Optica "survives in two recensions; there is no reason to doubt that the earlier is Euclid's own work, but the later appears to be a recension done by Theon of Alexandria in the fourth century, with a preface which seems to be a pupil's reproduction of explanations given by Theon at his lectures. .. Only the later recension was known until the end of the nineteenth century, but Heiberg then discovered the earlier one on Vienese and Florentine manuscripts. Both recensions are included in the Heiberg-Menge Opera omnia" [Dictionary of Scientific Biography, v.4, p.430] "The Optica, an elementary treatise on perspective, was the first Greek work on the subject and remained the only one until Ptolemy wrote in the middle of the second century. It starts with definitions, some of them really postulates, the first of which assumes, in the Platonic tradition, that vision is caused by rays proceeding from the eye to the object. It is implied that the rays are straight. The second states that the figure contained by the rays is a cone which has its vertex in the eye and its base at the extremities of the object seen. Definition 4 makes the fundamental assumption that 'Things seen under a greater angle appear greater, and those under a lesser angle less, while things seen under equal angles appear equal'. ... In the course of proposition 8 he proves the equivalent of the theorem tan a/tan b < a/b, where a and b are the two angle and a


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