Geometric Constructions 3


  1. Given Q1(x1,y1),Q2(x2,y2) and Q3(x3,y3), construct the graph of the polynomial p(x) satisfying
p(x1) = y1, p(x2) = y2, p(x3) = y3.
  1. Given (x1,y1), (x2,y2), (x3,y3) and (x4,y4), construct the graph of the polynomial p(x) satisfying
p(x1) = y1, p(x2) = y2, p(x3) = y3, p(x4) = y4 .
JavaSketchpad file
  1. Given 1, a, b, c, d, construct the graph of the polynomial
(x-a)(x-b)(x-c)(x-d).
  1. Given four points p0, p1,p2,p3, construct the Bezier cubic curve passing through these points.
  2. Construct the parabola tangent to two given straight lines at two given points on each of the lines.