Questions in pure mathematics proposed at the B.A. and B.Sc. pass and honours examinations of the University of London with complete solutions by J.E.A. SteggallLondon, 1882 - 245 pàgines |
Frases i termes més freqüents
1+x² a²+b² asymptotes axes axis base Besant's Conic Sections Binomial Theorem bisect centre chord circle constant COORDINATE GEOMETRY cos² curve determine diameter differential coefficient directrix ellipse equal Euclid expression F.R.S. BENJAMIN WILLIAMSON F.R.S. Morning Find the equation Find the locus Find the value fixed points focus given equation Hence hyperbola JOHN HOPKINSON length locus method middle points pair parabola parallel partial fractions passes perpendicular point of contact polar coordinates prove radical axis radius ratio rectangular result right angles right line roots Salmon's Conic Sections Salmon's Higher sec² sides similarly sin² Solid Geometry solved sphere spherical triangle square straight line supposed surface tangent plane theorem Todhunter's Spherical Trigonometry vertex Williamson's Differential Calculus Williamson's Integral Calculus
Passatges populars
Pàgina 110 - B . sin c = sin b . sin C cos a = cos b . cos c + sin b . sin c cos b = cos a . cos c + sin a . sin c cos A cos B cos c = cos a . cos b + sin a . sin b . cos C ..2), cotg b . sin c = cos G.
Pàgina 76 - That is, the sines of the sides of a spherical triangle are proportional to the sines of the opposite angles.
Pàgina 151 - Find the locus of a point such that the sum of the squares of its distances from two fixed points shall be equivalent to the square of the distance between the fixed points.
Pàgina 53 - If four straight lines be proportionals, the rectangle contained by the extremes is equal to the rectangle contained by the means.
Pàgina 11 - B) and cos (A - B) in terms of the sines and. cosines of A and B.
Pàgina 155 - Describe a circle which shall pass through a given point and touch a given straight line and a given circle.