圆内反射

GeoGebra 命令及参数

1. Line(A, B) → f
2. OrthogonalLine(A, f) → g
3. Point(g) → C
4. Line(C, f) → h
5. Midpoint(A, C) → D
6. Circle(D, C) → c
7. Circle(A, C) → d
8. Intersect(d, f) → E, F
9. Sequence(Translate[c, (u * (F - A))], u, -30, 30) → l1, {(x + 7.741137854794433)² + (y + 132.82651123010052)² = 5.249034179718787, (x + 7.179081177746875)² + (y + 128.27895925011595)² = 5.249034179718787, (x + 6.617024500699314)² + (y + 123.7314072701314)² = 5.249034179718787, (x + 6.054967823651753)² + (y + 119.18385529014685)² = 5.249034179718787, (x + 5.492911146604193)² + (y + 114.6363033101623)² = 5.249034179718787, (x + 4.930854469556634)² + (y + 110.08875133017774)² = 5.249034179718787, (x + 4.368797792509072)² + (y + 105.5411993501932)² = 5.249034179718787, (x + 3.806741115461511)² + (y + 100.99364737020865)² = 5.249034179718787, (x + 3.2446844384139517)² + (y + 96.44609539022409)² = 5.249034179718787, (x + 2.6826277613663922)² + (y + 91.89854341023954)² = 5.249034179718787, (x + 2.120571084318831)² + (y + 87.350991430255)² = 5.249034179718787, (x + 1.5585144072712698)² + (y + 82.80343945027043)² = 5.249034179718787, (x + 0.9964577302237103)² + (y + 78.25588747028588)² = 5.249034179718787, (x + 0.43440105317615085)² + (y + 73.70833549030132)² = 5.249034179718787, (x - 0.12765562387141038)² + (y + 69.16078351031678)² = 5.249034179718787, (x - 0.6897123009189716)² + (y + 64.61323153033223)² = 5.249034179718787, (x - 1.251768977966531)² + (y + 60.06567955034766)² = 5.249034179718787, (x - 1.8138256550140914)² + (y + 55.51812757036311)² = 5.249034179718787, (x - 2.375882332061652)² + (y + 50.97057559037856)² = 5.249034179718787, (x - 2.937939009109212)² + (y + 46.423023610394004)² = 5.249034179718787, (x - 3.4999956861567725)² + (y + 41.87547163040946)² = 5.249034179718787, (x - 4.062052363204333)² + (y + 37.3279196504249)² = 5.249034179718787, (x - 4.624109040251893)² + (y + 32.78036767044035)² = 5.249034179718787, (x - 5.1861657172994535)² + (y + 28.232815690455798)² = 5.249034179718787, (x - 5.748222394347014)² + (y + 23.685263710471247)² = 5.249034179718787, (x - 6.310279071394574)² + (y + 19.137711730486696)² = 5.249034179718787, (x - 6.872335748442135)² + (y + 14.590159750502142)² = 5.249034179718787, (x - 7.434392425489695)² + (y + 10.042607770517588)² = 5.249034179718787, (x - 7.996449102537255)² + (y + 5.495055790533036)² = 5.249034179718787, (x - 8.558505779584817)² + (y + 0.9475038105484836)² = 5.249034179718787, (x - 9.120562456632376)² + (y - 3.600048169436069)² = 5.249034179718787, (x - 9.682619133679935)² + (y - 8.147600149420622)² = 5.249034179718787, (x - 10.244675810727497)² + (y - 12.695152129405173)² = 5.249034179718787, (x - 10.806732487775058)² + (y - 17.242704109389727)² = 5.249034179718787, (x - 11.368789164822617)² + (y - 21.790256089374278)² = 5.249034179718787, (x - 11.930845841870177)² + (y - 26.337808069358832)² = 5.249034179718787, (x - 12.492902518917738)² + (y - 30.885360049343383)² = 5.249034179718787, (x - 13.0549591959653)² + (y - 35.43291202932794)² = 5.249034179718787, (x - 13.617015873012859)² + (y - 39.98046400931249)² = 5.249034179718787, (x - 14.179072550060418)² + (y - 44.528015989297046)² = 5.249034179718787, (x - 14.74112922710798)² + (y - 49.0755679692816)² = 5.249034179718787, (x - 15.30318590415554)² + (y - 53.62311994926615)² = 5.249034179718787, (x - 15.8652425812031)² + (y - 58.1706719292507)² = 5.249034179718787, (x - 16.42729925825066)² + (y - 62.718223909235256)² = 5.249034179718787, (x - 16.98935593529822)² + (y - 67.2657758892198)² = 5.249034179718787, (x - 17.55141261234578)² + (y - 71.81332786920436)² = 5.249034179718787, (x - 18.113469289393343)² + (y - 76.3608798491889)² = 5.249034179718787, (x - 18.6755259664409)² + (y - 80.90843182917345)² = 5.249034179718787, (x - 19.237582643488462)² + (y - 85.45598380915801)² = 5.249034179718787, (x - 19.799639320536023)² + (y - 90.00353578914256)² = 5.249034179718787, (x - 20.36169599758358)² + (y - 94.55108776912712)² = 5.249034179718787, (x - 20.923752674631146)² + (y - 99.09863974911167)² = 5.249034179718787, (x - 21.485809351678704)² + (y - 103.64619172909622)² = 5.249034179718787, (x - 22.04786602872626)² + (y - 108.19374370908078)² = 5.249034179718787, (x - 22.609922705773826)² + (y - 112.74129568906532)² = 5.249034179718787, (x - 23.171979382821384)² + (y - 117.28884766904987)² = 5.249034179718787, (x - 23.734036059868945)² + (y - 121.83639964903443)² = 5.249034179718787, (x - 24.296092736916506)² + (y - 126.38395162901898)² = 5.249034179718787, (x - 24.858149413964064)² + (y - 130.93150360900353)² = 5.249034179718787, (x - 25.42020609101163)² + (y - 135.47905558898807)² = 5.249034179718787, (x - 25.982262768059186)² + (y - 140.02660756897265)² = 5.249034179718787}
10. Circle(G, H) → e
11. Mirror(f, e) → f'
12. Mirror(h, e) → h'
13. Mirror(l1, e) → l1'