Question

Only part (b).

The mathematical name for taxicab geometry is 11 geometry. There is also an 1° geometry where the distance between two points A = (xo, Yo) and B = (x1, y1) is defined as də (A, B) = max{\xo – X1\, \yo – yıl}, where max{A, B} returns the larger of A and B. For example, the -distance between the points (2,3) and (5,-4) would be 7, since |3 – (-4) is larger than 12 – 5). (a) Find the distance between the points (0,1) and (3, 2) in 1° geometry. (b) Draw the circle of radius 2 centered at the origin in 1° geometry. (c) Define “B is between A and C” to mean do(A, B) + dm (B,C) = də (A,C). Draw all of the points “between” (0,0) and (1,0).

Answer 1

The Circle of for radius z centred at the rigin in ea geometry is given by ✓ A = (2,9.): do(a,0) = *=2} = > A=(3,91.) EIR: moju le-01, 13–oſ}=2} => (2.9.) ER": max.piza), } =3} to The circling is in Fig 1 a -21 2