# Trigonometry and double algebra

Printed for Taylor, Walton and Maberly, 1849

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### Popular passages

Page 171 - PRINCIPLES OF GEOMETRY, familiarly Illustrated, and applied to a variety of useful purposes. Designed for the Instruction of Young Persons.
Page v - An attempt to rectify the inaccuracy of some logarithmic formulae.' (Read December 18, 1828.) Philosophical Transactions for 1829. John Warren. Consideration of the objections raised against the geometrical representation of the square roots of negative quantities.
Page 101 - ... which may hereafter become the grammar of a hundred distinct significant algebras. If any one were to assert that + and — might mean reward and punishment and A, B, C, etc., might stand for virtues and vices, the reader might believe him, or contradict him, as he pleases, but not out of this chapter. The one exception above noted, which has some share of meaning, is the sign placed between two symbols, as in A B. It indicates that the two symbols have the same resulting meaning, by whatever...
Page vi - O'Brien (Rev. M.) Treatise on Plane Coordinate Geometry ; or the Application of the Method of Coordinates to the Solution of Problems in Plane Geometry.
Page v - J.) on the objections against the geometrical representation of the square roots of negative quantities ii. 371 ; on the geometrical representation of the powers of quantities whose indices involve the square roots of negative quantities, ii.
Page 171 - RITCHIE'S PRINCIPLES of the DIFFERENTIAL and INTEGRAL CALCULUS, familiarly Illustrated, and applied to a variety of useful purposes. Second Edition. Revised by JA SPENCER, BA, Assistant Mathematical Master in University College School.
Page 41 - Frend's papers, and dated November 16, 1801, distinctly lays it down that, in these matters, it is not the principles which prove the conclusions, but the truth of the conclusions which proves that there must, somewhere or other, be principles. " Whether or not," says he, " I have found a logic, by the rules of which operations with imaginary quantities are conducted, is not now the question ; but surely this is evident, that, since they lead to right conclusions, they must have a logic.

### References to this book

##### What Makes a Great Mathematics Teacher? The Case of Augustus De Morgan
Adrian Rice - 1999 - American Mathematical Monthly
##### XCS Performance And Population Structure IN Multi-Step Environments
Alwyn Barry, BSc Hons
##### Applications of Boolean Algebra: Claude Shannon and Circuit Design
Janet Heine Barnett
##### Comment on Two Papers by PA Piza
PA Piza, HW Becker - 1949 - Mathematics Magazine
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### References from web pages

Trigonometry and Double Algebra (work by De Morgan) -- Britannica ...
In his Trigonometry and Double Algebra (1849) he gave a geometric interpretation of the properties of complex numbers (numbers involving a term with a ...
www.britannica.com/ eb/ topic-605291/ Trigonometry-and-Double-Algebra

De Morgan and Laws of Algebra
those of Trigonometry and Double Algebra as T1-14. All these are .... Trigonometry and Double Algebra. seems to have had little success. The reviewer in the ...
www.blackwell-synergy.com/ doi/ pdf/ 10.1111/ j.1600-0498.1981.tb00639.x

Augustus De Morgan - Wikipedia, the free encyclopedia
The best presentation of his view of algebra is found in a volume, entitled Trigonometry and Double Algebra, published in 1849; and his earlier view of ...
en.wikipedia.org/ wiki/ Augustus_De_Morgan

Who was Augustus De Morgan?
He wrote many books and articles, including Trigonometry and Double Algebra and Formal Logic. He is perhaps best known as the creator of De Morgan's Laws: ...
www.demorgan.com/ demorgan.htm

Trigonometry and Double Algebra - Augustus De Morgan - Merchant Books
Trigonometry and Double Algebra. Augustus De Morgan. Prezzo: € 19.61. Disponibilità: Spedito normalmente in 6/8 giorni lavorativi ...
www.webster.it/ book_usa-trigonometry_and_double_algebra_augustus-9781933998718.htm

JSTOR: Augustus De Morgan's Algebraic Work: The Three Stages
Later, in Trigonometry and Double Algebra, he concentrated on developing one particular logical algebra, that including the imaginaries, which he called ...

Michael Schroeder A BRIEF HISTORY OF THE NOTATION OF BOOLE’S ...
his “Trigonometry and Double Algebra”:. Given symbols M, N, +, and one sole relation of combination, namely that. M + N is the same as N + M. Here is a ...
www.hf.uio.no/ ifikk/ filosofi/ njpl/ vol2no1/ history/ history.pdf

Augustus De Morgan: Trigonometry And Double Algebra - Unabridged ...
Trigonometry And Double Algebra - Unabridged. Merchant Books (United States), 2007 Hardback, 188 stran Velikost: 229x152 mm ISBN: 9781933998718 (1933998717) ...
www.bookfayre.cz/ books/ item/ 9781933998718.html.cs

Augustus De Morgan - Wikipedia
De beste weergave van zijn visie op de Algebra is te vinden in een werk getiteld Trigonometry and Double Algebra uit 1849. Zijn voorgaande kijk op de logica ...
nl.wikipedia.org/ wiki/ Augustus_De_Morgan

voltar www.matematica.br Augustus De Morgan Período: 1806 a 1871 ...
Augustus De Morgan. Período: 1806 a 1871 dc. Assuntos matemáticos envolvidos:. Álgebra: álgebra abstrata; Análise: indução; cálculo; números complexos ...
www.ime.usp.br/ ~leo/ imatica/ historia/ demorgan.html