π = 4的几何与函数作图示例

GeoGebra 命令及参数

1. Circle((0, 0), 1) → c
2. Segment((-1, 0), (1, 0)) → f
3. Sequence((sqrt(1 - (i / n)^(2)), i / n), i, 0, n) → l1
4. Sequence(Segment[Element[l1, i], Element[l1, i] + (0, 1 / n)], i, 1, n) → l2
5. Mirror(l2, xAxis) → l2'
6. Mirror(l2, yAxis) → l2'_{1}
7. Mirror(l2', yAxis) → l2''
8. Sequence(Segment[Element[l1, i + 1], Element[l1, i] + (0, 1 / n)], i, 1, n) → l3
9. Mirror(l3, xAxis) → l3'
10. Mirror(l3, yAxis) → l3'_{1}
11. Mirror(l3', yAxis) → l3''
12. Sequence(Segment[Element[l1, i], Mirror[Element[l1, i], yAxis]], i, 2, n) → l4
13. Mirror(l4, xAxis) → l4'
14. Segment((-1, -1.2), (-1, -1.4)) → g
15. Segment((1, -1.2), (1, -1.4)) → h
16. Vector(Midpoint[g], Midpoint[h]) → u
17. Vector(Midpoint[h], Midpoint[g]) → v