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B chapter.indd - Charles Babbage Institute - University of Minnesota

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Erwin Tomash Library<br />

Brander, George Friedrich Brander, George Friedrich<br />

B 231<br />

Brander, George Friedrich (1713–1783)<br />

Arithmetica binaria sive dyadica, das ist Die Kunst nur<br />

mit zwey Zahlen in allen vorkommenden Fällen sicher<br />

und leicht zu rechnen<br />

Year: 1769<br />

Place: Augsburg<br />

Publisher: Widow <strong>of</strong> Eberhard Kletts<br />

Edition: 2nd<br />

Language: German<br />

Figures: 1 engraved folding table<br />

Binding: contemporary marbled boards<br />

Pagination: pp. 40<br />

Collation: A–B 8 C 4<br />

Size: 185x110 mm<br />

Reference: Pogg Vol. I, p. 277<br />

An instrument maker in Augsburg, Brander was known<br />

as one <strong>of</strong> the finest workmen <strong>of</strong> his day, and many <strong>of</strong> his<br />

instruments are in museums today. He is known to have<br />

had almost a hundred different instruments <strong>of</strong> his own<br />

design for sale and is also known to have written several<br />

books on these instruments and their use (see Brander,<br />

Beschreibung und Gebrauch …, 1780).<br />

This work on binary numbers was a very early explanation<br />

<strong>of</strong> the system. In the introduction he credits Leibniz with<br />

earlier work. The slim volume starts with an explanation<br />

<strong>of</strong> the system; proceeds to describe addition, subtraction,<br />

multiplication, division and the extraction <strong>of</strong> roots;<br />

then concludes with a table <strong>of</strong> the binary equivalents <strong>of</strong><br />

numbers from 0 to 500,000.<br />

Illustrations available:<br />

Title page<br />

Binary multiplication examples<br />

Binary table<br />

B 231<br />

B 232<br />

Brander, George Friedrich (1713–1783)<br />

Beschreibung und Gebrauch eines geometrischen<br />

Instruments in Gestalt eines Proportionalzirkels,<br />

welches in allen praktischen Fällen der Feldmesskunst<br />

leicht und gut zu gebrauchen; auch zu astronomischen<br />

Vergnügen dienet, und auf Reisen sehr bequem mit sich<br />

geführet werden kann: nebst angehängter Beschreibung<br />

eines Systems von Maassstäben zu Zeichnungen<br />

Year: 1780<br />

Place: Augsburg<br />

Publisher: Eberhard Kletts<br />

Edition: 1st<br />

Language: German<br />

Figures: 2 engraved folding plates<br />

Binding: paper boards<br />

Pagination: pp. 64<br />

Collation: A–D 8<br />

Size: 170x101 mm<br />

Reference: Pogg Vol. I, p. 277<br />

Binary table, B 231<br />

Binary multiplication, B 231<br />

195

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