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Anweisung zum Gebrauche der allgemeinen Rechentafel, wodurch die vier Rechnungsarten auf vierfache Weise fest und sicher erlernet werden
32 pp. Small 8vo, orig. printed wrappers, uncut. Vienna: Mayer, 1838. [issued with]: A calculator consisting of 34 tables printed on thick paper strips & kept in a "calculating" box of blue paste-paper measuring 119 x 184 mm., with five cut-out panels for the calculations, preserved in the orig. marbled paper slipcase. First edition and very rare; not listed by WorldCat. This is an early school calculator and a modernization of Napier's "bones" and multiplication tables. The calculator offers instruction in addition, subtraction, multiplication, and division. The 34 printed tables, in the form of strips of thick paper, move up and down, according to the values being calculated and the operation. "Napier's bones" is a manually-operated calculating device created by John Napier of Merchiston for calculation of products and quotients of numbers. Napier first published his invention in 1617 in his Rabdologia. Using the multiplication tables embedded in the rods, multiplication could be reduced to addition operations and division to subtractions. Napier's bones (or rods) were made of ivory, wood, metal, or heavy cardboard. During the 18th and 19th centuries, Napier's bones underwent a transformation to make them easier to read. A number of mathematicians developed variations of Napier's original invention. Bleich (1798-1871), was for many years a teacher in Vienna. In the 1820s, Bleich's first educational publications were published. For example, the book Tagesordnung eines Kindes (The Day of a Child) appeared in several editions and tens of thousands of copies were sold. From 1831 until his death he lectured and taught at the Zollersche main school of Vienna, where he twice served as interim director and which he portrayed in the historical essay "Die Michael von Zoller and Franz Aloys Bernard'sche Hauptschule" published in 1851. His most noted publication was the educational booklet "Nur Ruhe!" (Silence), published in 1846 in which he gives 300 suggestions and hints to help keep children calm in the classroom without resorting to corporal punishment. In fine condition and a wonderful survival, the book and calculator preserved in its original slipcase. It is actually quite fun to make calculations using the strips. ❧ Louise Bleich, Biografie des Lehrers und Schriftstellers Peter Bleich (Wien: 1871). Not in the Tomash catalogue.
      [Bookseller: Jonathan A. Hill, Bookseller, Inc.]
Last Found On: 2018-02-25           Check availability:      Biblio    


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