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Mathematics

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Mathematics

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1 Dorato, Lonardo [Manuscript] Trattato di Aritmetica Diviso in Sei Libri con l'Indice di Gio: Lonardo Dorato. Ridotto alla Maggior Chiarezza FacilitÓ Ó Beneficio et Utile di Tutti
Udine 1710 Cloth Very Good 
A wonderful early mathematics manuscript with numerous whimsical drawings worked into the various numerical manipulations. 4to. 31 by 22 cm. 240 pp. (The manuscript is paginated.) The manuscript would appear to be a draft of an intended published treatise, and not a copy of something already published. Alas, we have found no evidence of ultimate publication. Why else would there be an introduction entitled "Al Lettore", or "To the reader", if publication were not the intent? The meticulous organization of what follows, the original presentation of material, the neatness of the writing and clever illustrations would also seem to cry out for publication as well. We do not find it plausible that this manuscript was merely a student's notebook. As to the artwork, we count 26 drawings, ranging from small vignettes to a full page watercolor. The first vignette is of a young man's profile, which we think quite possibly was a self-portrait by Dorato. Following are drawings of ships and boats, sun-like dials, tents, columns, and a spectacular folk-art-ish watercolor of a fruit tree with two men beneath and captions, one saying, "I am thirsty", to which the other replies, "I will give you wine." While topically this manuscript is directed at what to us nowadays would seem the most prosaic, and basic, area of mathematics, its treatment of the subject nothing but prosaic and basic, and the manuscript resembles not in the least the math textbooks used today in elementary schools. It is our sense that the author assumes the reader has a fundamental understanding of arithmatic, and that is his starting point as he seeks to explore and tease out the many subtleties residing in arithmetic relations. To the author, arithmetic is not merely a practical tool but a thing of astonishing beauty that should be appreciated for its aesthetics in and of themselves. Thus the working in of artwork is not merely a winsome diversion but an extension of arithmetic and an expression of something at the core of arithmetic. More specifically, the subjects include monetary calculations, an extensive exploration of the "rule of three", and a panoply of odd numerical manipulations. As to oddity, in the introduction, the author sets forth what he regards as the six ages of the world, from its Biblical creation, each age summarized in a dense paragraph. Condition: binding has fabric tears along the joints, some water damage with the cloth lifting in places and general soiling. Within there are some heavy-ish candle stains (so we think they are), but the pages are entirely legible and overall, they read as on the clean side. 
Price: 5000.00 USD
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Math and Calligraphy Notebook Bound with Older Newspaper, Greenough, Richard [Richard Greenough Atkinson]
2 Greenough, Richard [Richard Greenough Atkinson] Math and Calligraphy Notebook Bound with Older Newspaper
Atkinson, New Hampshire (?) 1816, 1817 Wraps made of newspaper Very Good 
Tall 4to, 31 by 19 cm. Unpaginated, 29 leaves, or 38 pp., mostly dealing with arithmetic and other mathematical formulations, with a decided bent towards the practical financial functions, such as interest calculations and discounting. It is a fairly typical such surviving notebook of that era, but for the final page of maxims written in an ornamental cursive calligraphic hand. Also three pages of legal forms (quitation deed, a will, a promissory note). Notwithstanding the calligraphy at the end and ornamental lettering elsewhere, the notebook is far from entirely neat, with many of the mathematical calculations looking as one might expect in a student's notebook. Still, the notebook belongs to a bygone era of pedagogy. Moderate wear generally, with some wormholing of the newspaper wraps. 
Price: 150.00 USD
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3 Nicholson, Samuel (1793-1885) Math Notebook Illustrated with Many Fine Watercolored Vignettes
Newton (later absorbed by Camden, NJ) 1811 Half Leather (Sheep) with Marbled Boards Very Good 
33 by 20.5 cm. 81 leaves, or 162 pp. Math problems are set out in an exceptionally neat hand, with topical titles done calligraphically. It is the exquisite vignettes, though, that truly set this apart from other surviving student notebooks from this era. Besides the many mathematical drawings, there are over 50 examples of watercolor work, not including the coloring of the lettering of headings. These include eighteen miniature paintings of such things as ships, towers, hills, soldiers, dogs, houses, trees and topography, the remainder being the coloring in of shapes, both regular and irregular, and not infrequently there might be a colored fleur-de-lys serving as a directional guide . Of the letters that are colored, we note one instance in which it was done with a striking plaid pattern. The math problems encompass geometry, logarithms, trigonometry, topography, and the Pennsylvania method of calculation (of location). But by no means is the drawing all about color. Even the unembellished geometric schemata are rendered with precision and are lovely to behold as a result. It would appear that Nicholson came from a prosperous family, and might be surmised just on the basis of the level of education he attained as reflected by this notebook. 
Price: 5000.00 USD
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4 Whiting, Harris Jon Math Notebook
Holliston, Massachusetts 1821 NA Good 
Federalist period student's math notebook, with much of the writing by a calligraphic hand (at least by today's standards). About 50 leaves. One loose page. A few page ends torn out. Age toning, and some insignificant soiling. Wear to the top page. No binding. Probably complete, other than torn out pages. 
Price: 60.00 USD
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