Fraction Multiplication by Ian Cantley

GeoGebra Commands & Parameters

1. Sequence(A + (i / n * (B - A)), i, 1, n) → ab
2. Sequence(A + (i / m * (D - A)), i, 1, m) → da
3. Element(da, p) → G1
4. Segment(A, B) → a
5. Segment(B, C) → b
6. Segment(C, D) → c
7. Segment(D, A) → d
8. Sequence(D + (i / n * (C - D)), i, 1, n) → cd
9. Sequence(B + (i / m * (C - B)), i, 1, m) → bc
10. Sequence(Segment[Element[cd, i], Element[ab, i]], i, 1, n) → Column
11. Sequence(Segment[Element[bc, i], Element[da, i]], i, 1, m) → Row
12. Element(ab, q) → E
13. Segment(AX, EX) → e
14. Midpoint(e) → F
15. Segment(AY, GY) → f
16. Midpoint(f) → H
17. Element(cd, q) → E1
18. Element(bc, p) → G
19. Polygon(A, B, G, G1) → Fraction1, a_1, b_1, g, g1
20. Polygon(A, E, E1, D) → Fraction2, a_2, e_1, e1, d_1
21. GCD(p, m) → FPB1
22. GCD(q, n) → FPB2
23. Segment(BY, GY1) → h
24. Midpoint(h) → M
25. Segment(DX, EX1) → i
26. Midpoint(i) → N
27. Textfield(p) → Numerator1
28. Textfield(m) → Denominator1
29. Textfield(q) → Numerator2
30. Textfield(n) → Denominator2
31. Textfield(j) → Length
32. GCD(p1Xq1, m1Xn1) → FPB3
33. IntersectPath(Fraction1, Fraction2) → Result, I, J, K, L, k, l, t, f_1
34. Polygon(A, B, C, D) → Original, a_3, b_2, c_1, d_2
35. Segment(J, E) → g_1
36. Segment(K, I) → h_1
37. Intersect(g_1, h_1) → O
38. Segment(P, Q) → i_1
39. Segment(R, S) → j_1
40. Textfield(o) → InputBox1
41. Segment(AX1, T) → k_1
42. Segment(V, U) → l_1