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

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

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Erwin Tomash Library<br />

Byrne, Oliver Byrne, Oliver<br />

Language: English<br />

Binding: original cloth boards<br />

Pagination: pp. Iii–xvi, iii–vi, 5–218, 464, [4 adverts]<br />

Collation: π 9 A–L 4 a–p 4 q 3 A–Z 8 2A–2F 8 γ 2<br />

Size: 248x172 mm<br />

Reference: Hend BTM, #209.3, p. 188<br />

In this volume Byrne continues to stress his dual<br />

arithmetic system (see Byrne; Dual Arithmetic, 1867),<br />

but this time it is couched in terms <strong>of</strong> navigation. The<br />

first half <strong>of</strong> the text presents his dual arithmetic, while<br />

the second is an elementary work on navigation showing<br />

the examples demonstrating its use. He includes two<br />

large tables <strong>of</strong> Byrne’s Numbers as well as several other<br />

trigonometric tables.<br />

Illustrations available:<br />

Title page<br />

B 310<br />

Byrne, Oliver (1810–1880)<br />

Dual arithmetic. A new art.<br />

B 310<br />

Year: 1863<br />

Place: London<br />

Publisher: Bell and Daldy<br />

Edition: 1st<br />

Language: English<br />

Binding: original cloth boards, faded<br />

Pagination: pp. xl, 246 (misnumbered 246 as 244), 22<br />

Size: 215x135 mm<br />

Collation: π 4 a 2 b–d 4 e 2 B–2H 4 2I 3 A 11<br />

In this work, Byrne proposes a new method <strong>of</strong> performing<br />

mental arithmetic that involves breaking numbers down<br />

into the form a1.1 b 1.01 c 1.001 d …and then operating on<br />

the quantities a, b, c, d, etc. to find the answer. DeMorgan<br />

is anything but complimentary in his judgment <strong>of</strong> the<br />

dual arithmetic proposal. It does, however, indicate the<br />

lengths to which some practitioners will go in attempting<br />

to ease the labor inherent in doing arithmetic.<br />

Illustrations available:<br />

Title page<br />

B 311<br />

Byrne, Oliver (1810–1880)<br />

B 311<br />

The essential elements <strong>of</strong> practical mechanics, based<br />

on the principle <strong>of</strong> work; designed for engineering<br />

students..<br />

Year: 1867<br />

Place: London<br />

Publisher: E. & F. N. Spon<br />

Edition: 1st<br />

Language: English<br />

Binding: original cloth boards<br />

Pagination: pp.xii, 360<br />

Collation: π 4 a 2 B–Z 8 2A 4<br />

Size: 183x120 mm<br />

While this work does deal with mechanics, it is little<br />

more than a tract promoting Byrne’s dual arithmetic.<br />

Illustrations available:<br />

Title page<br />

B 312<br />

Byrne, Oliver (1810–1880)<br />

The geometry <strong>of</strong> compasses or problems resolved by<br />

235

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