P_0

P_1

M

\mathbf{B}(t)

P_2

N

\mathbf{M}(t)=(1-t)\mathbf{P}_0 + t\mathbf{P}_1

\mathbf{N}(t)=(1-t)\mathbf{P}_1 + t\mathbf{P}_2

\mathbf{B}(t)=(1-t)\mathbf{M}(t) + t\mathbf{N}(t)

t = 0.5 (slider from 0 to 1)
A = (0.4391957404325513, 0.7901546921912969)
B = (-0.19860519047820055, 0.04558532350694215)
C = (0.6976877476739132, 0.0034398875436767876)
f = Segment(A, B)
g = Segment(B, C)
tB = 1 (slider from -5 to 5)
D: ((1 - t) * A) + (t * B)
E: ((1 - t) * B) + (t * C)
h = Segment(D, E)
F: ((1 - t) * D) + (t * E)
loc1 = Locus(F, t)