## The Algebra of Coplanar Vectors and Trigonometry |

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### Common terms and phrases

Binomial Theorem centre chapter circular measure coefficients coincides commutative law complete complex number convergent convergent series corresponding cos2 cosec cosh cosine curve deduced definite denote diagram direction divergent equal equation excircle expressed factor finite fluctuating formulae fraction functions geometric series geometrical given Hence hyperbola inclination incommensurable infinite number infinite series integer length logarithm logometer 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 radical points radius rate of change represented respectively right angles roots roots of unity scalar signs sin2 sin4 sine sinh student symbols tangent tanh tensor treatises triangle trigonometrical functions trigonometrical ratios unit circle unit vector vanish 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 xix - La vraie théorie des quantités négatives et des quantités prétendues imaginaires, dédié aux amis de l'évidence.

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 160 - ... with the last, the second with the last but one, and so on.

Page 21 - The straight lines which join the vertices of a tetrahedron to the centroids* of the opposite faces meet in a point which is a point of quadrisection of each line.

Page xix - London, 1817, 4to. BENJAMIN GOMPERTZ. The Principles and Application of Imaginary Quantities, Book I., to which are added some observations on porisms London, 1818, 4to. BENJAMIN GOMPERTZ. The Principles and Application of Imaginary Quantities, Book II., derived from a particular case of functional projections .... Paris, 1828, 8vo.

Page xix - The Principles and Application of Imaginary Quantities, Book I. ; to which are added, some observations on Porisms ; being the first of a series of original tracts in various parts of the Mathematics ; by Benj.