Trigonometry and Double AlgebraTaylor, Walton and Maberly, 1849 - 167 pagina's |
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arcual units arithmetic axes axis calculation chapter connexion cosecant cosine cosine and sine cosp cotangent denote diminishes without limit direction divide double algebra equal equation expressed factors formulæ fraction geometry given gives Hence instance integer inverse inverse functions INVERSE TRIGONOMETRICAL FUNCTIONS length loga logarithms logometer logr magnitude meaning multiplication negative quantities nth roots odd number operation ordinary algebra positive or negative projections radius rectangle result revolution revolving line right angle roots of unity S₁ S₂ sin0 sin² sin²0 sin³0 sine sines and cosines single algebra sino cose sinp square root student symbolic algebra tan0 tan¹ tane tangent theorem theory of equations triangle trigonometrical functions twelfth root unit line unit-line unity whence
Populaire passages
Pagina 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.
Pagina 99 - ... 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...
Pagina 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.
Pagina 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.
Pagina 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.