Berührende Kreise - Ortskurve Mittelpunkt
- Author:
- hawe
- Topic:
- Circle
Parameter-Curve
(1) ((x,y)-M1)^2=1^2
(2) Solutions($1, y)
(3) a(t):=Substitute((x, Element($2, 2)), x = t)
(2) Solutions($1, x)
(3) a(t):=Substitute((Element($2, 2), y), y = t)
assignment a(t) + Substitute not working - kills y=t ==> t
(sqrt(-4 t² - 4t + 3) / 2, t)
Oi(t) Parameter-Curves of circle segments (green)
CAS (1),(2),(6) radian segment vector unspecified MiOi length cut/extended to M center of matching circle
MiOi all equal give a LEQS (7) → (8) solve → M, Ti
M1O1 - M3O3 → r, t3=f(t1) → reduced to single variable t → locus curve of M LOCM(t)