Completed Ferris Wheel Formulas Example

Completed Ferris Wheel Formulas Example
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2017-10-25 23:40
In collections Math Year 4 Unit 1
This example demonstrates the dynamic motion of a Ferris wheel, involving core mathematical concepts such as vectors, integers, continuity, equilateral triangles, distributions, and arithmetic mean. Key GeoGebra commands and objects used in the construction include Intersect (intersection points) and PolyLine (polyline). It is suitable for high school students studying functions, trigonometry, and analytical geometry, helping them understand parametric equations and dynamic geometric modeling.

GeoGebra Commands & Parameters

  1. Intersect(g, f, (11.44902883611497, -30.53053639532991)) → A
  2. PolyLine((0.7525691699604744, -17.50118865421887), (NaN, NaN), (1.505138339920949, -13.632504846444162), (4.562450592885378, -20.264534231200802), (4.562450592885378, -19.527642077338953), (4.562450592885378, -18.790749923477104), (4.515415019762848, -18.238080808080717), (4.421343873517789, -17.50118865421887), (4.32727272727273, -16.76429650035702), (4.2802371541502, -16.02740434649517), (4.2802371541502, -15.29051219263332), (4.32727272727273, -14.36939700030601), (4.32727272727273, -13.632504846444162), (1.505138339920949, -12.895612692582313), (4.32727272727273, -14.36939700030601), (4.32727272727273, -15.29051219263332), (4.32727272727273, -16.395850423426094), (4.32727272727273, -17.316965615753404), (4.32727272727273, -18.053857769615252), (4.32727272727273, -18.790749923477104), (4.32727272727273, -19.527642077338953), (4.32727272727273, -20.632980308131724), (4.32727272727273, -21.554095500459034), (4.32727272727273, -22.290987654320883), (1.3169960474308304, 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(5.409090909090912, -24.133218038975507), (5.550197628458501, -23.948995000510045), (5.69130434782609, -23.58054892357912), (5.8324110671936795, -23.396325885113658), (6.020553359683798, -23.396325885113658), (6.208695652173916, -23.212102846648197), (6.490909090909095, -23.212102846648197), (1.081818181818182, -15.474735231098784), (6.632015810276684, -23.027879808182732), (6.773122529644272, -22.84365676971727), (6.820158102766802, -22.290987654320883), (6.867193675889332, -21.554095500459034), (6.9142292490118615, -21.00142638506265), (NaN, NaN), (2.0695652173913053, -16.76429650035702), (NaN, NaN), (2.0695652173913053, -16.76429650035702), true, (1.081818181818182, -16.211627384960632), (1.081818181818182, -16.94851953882248), (0.7525691699604744, -17.50118865421887), (1.081818181818182, -17.68541169268433), (1.081818181818182, -18.42230384654618), (1.081818181818182, -19.159196000408027), (1.081818181818182, -19.896088154269876), (0.9407114624505931, -20.448757269666263), (0.8466403162055337, -21.00142638506265), (0.7525691699604744, -21.554095500459034), (0.6114624505928854, -21.92254157738996), (0.4233201581027667, -21.92254157738996), (0.23517786561264803, -21.92254157738996), (0.9877470355731227, -17.50118865421887), (0.14110671936758867, -21.369872461993573), (0.2822134387351777, -20.817203346597186), (0.4703557312252964, -20.632980308131724), (0.6114624505928854, -20.448757269666263), (0.7525691699604744, -20.264534231200802), (0.9407114624505931, -20.264534231200802), (1.081818181818182, -20.817203346597186), (1.2699604743083008, -21.185649423528112), (1.4110671936758898, -21.554095500459034), (1.5521739130434788, -21.7383185389245), (1.1288537549407118, -17.316965615753404), (1.6932806324110679, -21.92254157738996), (1.8343873517786569, -21.7383185389245), (1.9284584980237163, -21.185649423528112), (1.9754940711462459, -20.632980308131724), (1.9754940711462459, -19.896088154269876), (1.9754940711462459, -19.159196000408027), (1.8814229249011865, 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(3.386561264822136, -21.7383185389245), (3.386561264822136, -22.475210692786348), (1.4581027667984194, -15.658958269564245), (3.5276679841897254, -22.65943373125181), (3.668774703557314, -22.475210692786348), (3.715810276679844, -21.92254157738996), (3.715810276679844, -21.185649423528112), (3.762845849802374, -20.632980308131724), (3.762845849802374, -19.896088154269876), (3.8098814229249034, -19.34341903887349), (3.856916996047433, -18.790749923477104), (3.998023715415022, -18.60652688501164), (4.186166007905141, -18.60652688501164), (1.505138339920949, -15.10628915416786), (4.374308300395259, -18.60652688501164), (4.515415019762848, -18.790749923477104), (4.374308300395259, -18.238080808080717), (4.186166007905141, -18.238080808080717), (4.045059288537551, -18.42230384654618), (3.950988142292492, -19.159196000408027), (3.8098814229249034, -19.527642077338953), (3.668774703557314, -19.711865115804414), (3.6217391304347846, -20.264534231200802), (3.574703557312255, 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