Two Cylinders in a Trough - Parametric Diagram

GeoGebra Commands & Parameters

1. Translate(C2, offset) → C2'
2. Circle(C1, r1) → c_1
3. Circle(C2, r2) → c_2
4. Max(y(C1) + r1, y(C2) + r2) → height
5. Polygon(pts) → trough
6. Circle(C1, r1) → c_1'
7. Polygon(pts) → trough_{edge}
8. Intersect(c_1, c_2, 1) → A
9. Point(c_1') → B
10. Point(c_1') → C
11. Circle(C2, r2) → c_2'
12. Translate(c_2, offset) → c_3
13. Translate(A, offset) → A'
14. Vector(C1, C1 - (vecLength * j)) → w1
15. Vector(C - (vecLength * i), C) → f_c
16. Vector(B - (vecLength * j), B) → f_b
17. Vector(D + (vecLength * i), D) → f_d
18. Vector(C2', C2' - (vecLength * j)) → w2
19. Angle(C1 + ((2 * r1) * i), C1, C2) → θ'_1
20. Segment(C1, A) → witness_1
21. Segment(C2', C2' - ((1.5 * r2) * i)) → witness_2'
22. Segment(Translate[C2, offset], Translate[A, offset]) → witness_1'
23. Angle(witness_2', witness_1') → θ_1
24. Segment(C1, C1 + ((1.5 * r1) * i)) → witness_2
25. Vector(A - (vecLength * UnitVector[Vector[C2, C1]]), A) → f_a
26. Vector(A' - (vecLength * UnitVector[Vector[C1, C2]]), A') → f_a'
27. Translate(c_2, offset) → c_3'
28. Vector((0, 0) + (width * i) + ((0.2 + height) * j), (0, 0) + ((0.2 + height) * j)) → d'
29. Vector((0, 0) + ((0.2 + height) * j), (0, 0) + (width * i) + ((0.2 + height) * j)) → d
30. Rotate(Vector[C1, C], 135°) → r_1
31. Rotate(Vector[C2, C2 + (r2 * i)], -45°) → r_2
32. Polygon(C1, C2, (x(C2), y(C1))) → t1, t1_2, t1_1, t1_3
33. Angle((x(C2), y(C1)), C1, C2) → θ_2