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2mir Accordingly arcual units arithmetic axes axis beginner calculation called chapter circle connexion contour cos0 cos0 cos0 sin0 cosC cosecant cosine cosine and sine cot0 cotangent denote diminishes without limit direction divide double algebra equal equation Euclid expressed factors formulae fraction geometry George Peacock given gives h root Hence instance integer inverse functions length logarithms logometer magnitude meaning mode multiplication negative quantities notion nth root odd number opposite ordinary algebra peculiar symbols positive or negative preceding prime number projections radical point radius ratio rectangle result revolution revolving line right angle roots of unity scalar function side sin0 cos0 sin0 sin0 sine sines and cosines single algebra square root student Suppose symbolic algebra symbolic calculus tan0 tangent theorem triangle trigonometrical functions trigonometrical tables true twelfth root unit line unit-line whence
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.