# The Algebra of Coplanar Vectors and Trigonometry (Google eBook)

Macmillan and Company, 1892 - Exponential functions - 343 pages

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Page 4 - Symbolical Algebra" it is thus enunciated: "Whatever algebraical forms are equivalent, when the symbols are general in form but specific in value, will be equivalent likewise when the symbols are general in value as well as in form.
Page xix - On the geometrical representation of the powers of quantities, whose indices involve the square roots of negative quantities.
Page xxi - 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. 8vo. Plates, 9s.
Page xx - Syllabus of a Course of Lectures upon Trigonometry and the Application of Algebra to Geometry. 8vo. 7*. 6d. MECHANICS AND HYDROSTATICS. Elementary Hydrostatics. By WH BESANT, MA, Late Fellow of St John's College. [Preparing. Elementary Hydrostatics for Junior Students. By R. POTTER, MA late Fellow of Queens...
Page 55 - The rectangle contained by the diagonals of a quadrilateral inscribed in a circle is equal to the sum of the rectangles contained by the two pairs of opposite sides.
Page 109 - ... perim. p : perim. p'. q. ED Carol. 1. And one of the triangular portions ABo, of a polygon circumscribing a circle, is to the corresponding circular sector, as the side AB of the polygon, to the arc of the circle included between AO and BO. Cor. 2. Every circular arc is greater than its chord, and less than the sum of the two tangents drawn from its extremities and produced till they meet. The first part of this corollary is evident, because a right line is the shortest distance between two given...
Page xix - Consideration of the Objections raised against the geometrical Representation of the Square Roots of Negative Quantities.
Page xxi - The SPIRIT of MATHEMATICAL ANALYSIS, and its Relation to a Logical System.
Page 270 - SX, which may be made as small as we please by taking n large enough.
Page 192 - Also e may be made as small as we please by taking n sufficiently great.