## The Algebra of Coplanar Vectors and Trigonometry |

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### Common terms and phrases

asymptotes Binomial Theorem centre chapter circular measure coefficients coincide commutative law complete complex number convergent corresponding cos2 cosec cosh cosine curve deduced definite denote determined diagram direction divergent equal equation excircle excircular expressed factor finite fluctuating formula fraction functions geometrical given Hence hyperbola inclination incommensurable infinite number infinite series integer laws of indices limit logarithm logometers mean point middle point multiplication nth root number of terms obtained ordinary algebra parallel perpendicular plane positive or negative positive sense prime vector project and traject Prove Ptolemy's Theorem radians radius rate of change represented respectively right angles roots of unity scalar signs sin2 sin4 sine sinh sinw student symbols tangent tanh tensor treatises Trigono trigonometrical functions trigonometrical ratios unit circle unit vector vector 01 Vector Magnitude verify whence

### Popular passages

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.