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Гіпоциклоїду можна описати таким параметричним рівнянням:
ax + by + c = 0
r = r0(1– t) + r1t, де r=(x, y), t∈ [0, 1]
x(t)= r(t – sint), y(t)= r(1 – cost), t ≥ 0
p(t) = (r0+r)(sint, cost) – r(sinwt, coswt), w = (r0/r+1)
p(t) = (r0– r)(sint, cost)+r(–sinwt, coswt), w = (r0/r – 1)
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