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A REMARKABLY NEAT TRIGONOMETRY MANUSCRIPT - - 1820. 
1820 - Manuscript, Principles and Canons of Trigonometrical Calculation, title taken from heading page 1, line 1. Small quarto, pp [xxiv], 205, remaining pages (16) blank. Recent plain dark cloth, written in ink throughout an exceptionally neat and careful hand, with many small sketches of mathematical figures, and an occasional illustrative diagram for example of a repeating wheel (page 193). Legible throughout and in very good condition. There is no author or date to the front, but one entry toward the endsupplement to the articles on terrestrial refraction and difference of level is dated Mousul, January 1st 1821 (page 182), implying that it was written sometime in 1820. This very attractive work appears to be a compilation of examples of trigonometry drawn from different sources which together makes a comprehensive advanced introduction to the subject, covering additionally astronomy, navigation and surveying. Overall, it appears to be most detailed when mapping and surveying on land are mentioned. There are several pages on terms in Turkish geography, and I would assume that the author was completing training to take up his first post in some official capacity to undertake surveying or mapping in the Levant. Nevertheless, the emphasis is on the mathematics. Looking at the contents in more detail: pages [i-xxiv] tables: for example, listing distance of the sun to the pole above the horizon; acceleration of the stars in mean-time, parallax. [x-xi] units of measurement, refractions, and so on, including notes on the oriental measurements of length from the Turkish Geographer [xi]. The numbered pages which follow are broadly divided in sections, viz: Memoranda of Principles and Canons of Trigonometrical Calculation: trigonometry applied to the measurement of heights and distance; curious and difficult cases; navigation, the rules of which are also applicable to travelling by land; formula of useful astronomical calculations; denomination of the principal stars and method of recognizing them; astronomical calculations of time; determinations of latitude; determinations of longitude; determination of the meridian; azimuths; geodesical operations; calculation of the latitudes, longitudes, and azimuths of terrestrial objects; of topographical levelling; compound levelling; Agenda: or heads of enquiry for the traveller in Turkey (pages 143-144); general agenda (observations astronomical; on the seas, of the coast; rivers; plains; mountains; valleys; earthquakes; mines; followed by various supplementary notes, including that on the repeating circle. A very attractive item, showing exactly what a budding specialist felt he needed to prepare for his professional posting. [Attributes: Hard Cover]
[Bookseller: Celsus Books]
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