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### Continguts

 PLANE GEOMETRY 1 SECTIONS PAGE 67 THEORY OF EQUATIONs QUADRATURE AND MAXIMA AND MINIMA 82 CHAPTER VII 113 CHAPTER VIII 131 SECTIONS PAGE 139 CHAPTER X 150
 CHAPTER XI 179 SOLID GEOMETRY 193 sections PAGE 200 CHAPTER XIV 209 CHAPTER XV 220 APPENDIX 245 Copyright

### Passatges populars

Pŕgina 41 - Find the locus of a point, the distances of which from two given straight lines have a fixed ratio. 143. Find the locus of a point which moves so that the sum of its distances from two vertices of an equilateral triangle shall equal its distance from the third.
Pŕgina 17 - The sum of the squares of the four sides of any quadrilateral is equal to the sum of the squares of the diagonals plus four times the square of the line joining the mid-points of the diagonals.
Pŕgina 38 - Show that the locus of a point which moves so that the sum of its distances from two h'xed straight lines is constant is a straight line.
Pŕgina 184 - 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.
Pŕgina 131 - The locus of the middle points of a system of parallel chords in a parabola is called a diameter.
Pŕgina 130 - Shew that the locus of the middle points of a system of parallel chords of a parabola is a straight line parallel to the axis of the parabola.
Pŕgina 40 - PF'/PH'= e, by the definition of the curve. Furthermore :J (b) \PF—PF'\=2a. In fact, the hyperbola is often defined as the locus of a point which moves so that the difference of its distances from two fixed points is constant.
Pŕgina 108 - Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of the window is given, what must be its proportions in order to admit as much light as possible ? Ans.
Pŕgina 184 - The locus of a point, the sum of the squares of whose distances from n fixed points is constant, is a circle.
Pŕgina 107 - A = 2 try? -\ • x 10. An open box is to be made from a sheet of pasteboard 12 in. square, by cutting equal squares from the four corners and bending up the sides. Plot the volume V as a function of the side x of the square cut out.