186. Construct a triangle, having given the base, the median to the base, and the difference of the squares on the two sides. 187. Divide a given straight line so that the sum of the squares on the segments may equal a given square. 188. If C be a given point in AB, find a point P in AB produced such that AP2+PB2=2AC2+2CB2. 189. A, B, C, D are four points; find the locus of a fifth point P such that PA2+PB2+PC2+PD2 is constant. 190. A, B, C, D are four points; find the locus of P such that PA2+PB2=PC2+PD2. 191. Find two straight lines, having given the sum and difference of their squares. Printed by T. and A. CONSTABLE, Printers to Her Majesty, at the Edinburgh University Press. |