κινείστε τον δρομέα t για να δείτε που ανήκουν τα κινητά.

κινείστε τον δρομέα t για να δείτε που έχουμε max-min
 για τον w και min  για τον z

τα υπόλοιπα ερωτήματα
Μπορείτε στο παράθυρο της άλγεβρας
 ή στο πεδίο εισαγωγής να δώσετε άμεσα τιμές στο t 
όπως t= π ή t= π/2

Προέκταση
Στο πεδίο εισαγωγής θεωρείστε το Μ=(t,e).
e είναι η μεταβλητή απόσταση f(x)των εικόνων των δύο μιγαδικών.
Έτσι δημιουργείται σημείο το οποίο είναι
 ο οδηγός της γραφικής παράστασηςτης f(x) 
Δώστε ενεργό   ίχνος στο Μ, δώστε ενεργό κίνηση στο δρομέα t

t = 14.52 (slider from 0 to 33, step 0.01)
i = (0, 1)
w: 3.141592653589793 * sin(t) + (3.141592653589793 + 3.141592653589793 * cos(t)) * i
O = Intersect(xAxis, yAxis)
K = (0, 3.141592653589793)
A1 = 0.72
B1 = 2.2310748576518673
A2 = 0.84
B2 = 1.7944949365434224
A3 = 0.96
B3 = 1.4198862562590078
A4 = 1.08
B4 = 1.1763371990282632
A5 = 1.2
B5 = 1.1541051997533383
A6 = 1.32
B6 = 1.3635773406347842
A7 = 1.44
B7 = 1.7189183298825677
A8 = 1.56
B8 = 2.144065702794908
A9 = 1.68
B9 = 2.599252589639229
A10 = 1.8
B10 = 3.0648071118881184
A11 = 1.92
B11 = 3.530009871942612
A12 = 2.04
B12 = 3.988243936132987
A13 = 2.16
B13 = 4.434941080879996
A14 = 2.4
B14 = 5.280664742312236
A15 = 2.52
B15 = 5.674672455248115
A16 = 2.76
B16 = 6.39534638350703
A17 = 3
B17 = 7.016791994905467
A18 = 2.88
B18 = 6.719049889796597
A19 = 2.76
B19 = 6.39534638350703
A20 = 2.52
B20 = 5.674672455248115
A21 = 2.4
B21 = 5.280664742312236
A22 = 2.28
B22 = 4.866663240211666
A23 = 2.16
B23 = 4.434941080879996
A24 = 2.04
B24 = 3.988243936132987
A25 = 1.92
B25 = 3.530009871942612
A26 = 1.68
B26 = 2.599252589639229
A27 = 1.56
B27 = 2.144065702794908
A28 = 1.44
B28 = 1.7189183298825677
A29 = 1.32
B29 = 1.3635773406347842
A30 = 1.2
B30 = 1.1541051997533383
A31 = 1.08
B31 = 1.1763371990282632
A32 = 0.96
B32 = 1.4198862562590078
A33 = 0.84
B33 = 1.7944949365434224
A34 = 0.72
B34 = 2.2310748576518673
A35 = 0.6
B35 = 2.694548917703996
A36 = 0.48
B36 = 3.1673440602531024
A37 = 1.08
B37 = 1.1763371990282632
A38 = 1.2
B38 = 1.1541051997533383
A39 = 1.32
B39 = 1.3635773406347842
A40 = 1.44
B40 = 1.7189183298825677
A41 = 1.56
B41 = 2.144065702794908
A42 = 1.68
B42 = 2.599252589639229
A43 = 1.8
B43 = 3.0648071118881184
A44 = 1.92
B44 = 3.530009871942612
A45 = 2.04
B45 = 3.988243936132987
A46 = 2.16
B46 = 4.434941080879996
A47 = 2.28
B47 = 4.866663240211666
A48 = 2.4
B48 = 5.280664742312236
A49 = 2.52
B49 = 5.674672455248115
A50 = 2.76
B50 = 6.39534638350703
A51 = 2.88
B51 = 6.719049889796597
A52 = 2.76
B52 = 6.39534638350703
A53 = 2.64
B53 = 6.046771639313978
A54 = 2.52
B54 = 5.674672455248115
A55 = 2.4
B55 = 5.280664742312236
A56 = 2.28
B56 = 4.866663240211666
A57 = 2.4
B57 = 5.280664742312236
A58 = 2.52
B58 = 5.674672455248115
A59 = 2.64
B59 = 6.046771639313978
A60 = 2.76
B60 = 6.39534638350703
A61 = 2.88
B61 = 6.719049889796597
A62 = 3
B62 = 7.016791994905467
A63 = 3.12
B63 = 7.287737216167109
A64 = 3.24
B64 = 7.531309623554426
A65 = 3.36
B65 = 7.747202449476612
A66 = 3.48
B66 = 7.935391233758724
A67 = 3.6
B67 = 8.096149790756012
A68 = 3.72
B68 = 8.230068538098863
A69 = 3.84
B69 = 8.338074816500988
A70 = 3.96
B70 = 8.421454785304082
A71 = 4.08
B71 = 8.48187629890459
A72 = 4.2
B72 = 8.52141183688207
A73 = 3.96
B73 = 8.421454785304082
A74 = 3.72
B74 = 8.230068538098863
A75 = 3.6
B75 = 8.096149790756012
A76 = 3.48
B76 = 7.935391233758724
A77 = 3.36
B77 = 7.747202449476612
A78 = 3.24
B78 = 7.531309623554426
A79 = 3.12
B79 = 7.287737216167109
A80 = 2.88
B80 = 6.719049889796597
A81 = 2.76
B81 = 6.39534638350703
A82 = 2.64
B82 = 6.046771639313978
A83 = 2.4
B83 = 5.280664742312236
A84 = 2.28
B84 = 4.866663240211666
A85 = 2.16
B85 = 4.434941080879996
A86 = 2.04
B86 = 3.988243936132987
A87 = 1.92
B87 = 3.530009871942612
A88 = 1.8
B88 = 3.0648071118881184
A89 = 1.68
B89 = 2.599252589639229
A90 = 1.56
B90 = 2.144065702794908
A91 = 1.44
B91 = 1.7189183298825677
A92 = 1.32
B92 = 1.3635773406347842
A93 = 1.2
B93 = 1.1541051997533383
A94 = 1.08
B94 = 1.1763371990282632
A95 = 0.96
B95 = 1.4198862562590078
A96 = 0.84
B96 = 1.7944949365434224
A97 = 0.96
B97 = 1.4198862562590078
A98 = 1.08
B98 = 1.1763371990282632
A99 = 1.2
B99 = 1.1541051997533383
A100 = 1.32
B100 = 1.3635773406347842
A101 = 1.2
B101 = 1.1541051997533383
C1 = 1.08
D1 = 1.1763371990282632
C2 = 0.96
D2 = 1.4198862562590078
C3 = 0.72
D3 = 2.2310748576518673
C4 = 0.84
D4 = 1.7944949365434224
C5 = 0.96
D5 = 1.4198862562590078
C6 = 1.08
D6 = 1.1763371990282632
C7 = 1.2
D7 = 1.1541051997533383
C8 = 1.44
D8 = 1.7189183298825677
C9 = 1.56
D9 = 2.144065702794908
C10 = 1.44
D10 = 1.7189183298825677
C11 = 1.32
D11 = 1.3635773406347842
C12 = 1.2
D12 = 1.1541051997533383
C13 = 1.08
D13 = 1.1763371990282632
C14 = 0.96
D14 = 1.4198862562590078
C15 = 0.84
D15 = 1.7944949365434224
C16 = 0.72
D16 = 2.2310748576518673
C17 = 0.48
D17 = 3.1673440602531024
C18 = 0.36
D18 = 3.6396554240798644
C19 = 0.24
D19 = 4.1052814137678935
C20 = 0.36
D20 = 3.6396554240798644
C21 = 0.48
D21 = 3.1673440602531024
C22 = 0.6
D22 = 2.694548917703996
C23 = 0.72
D23 = 2.2310748576518673
C24 = 0.96
D24 = 1.4198862562590078
C25 = 1.08
D25 = 1.1763371990282632
C26 = 1.2
D26 = 1.1541051997533383
C27 = 1.32
D27 = 1.3635773406347842
C28 = 1.2
D28 = 1.1541051997533383
C29 = 0.96
D29 = 1.4198862562590078
C30 = 0.72
D30 = 2.2310748576518673
C31 = 0.36
D31 = 3.6396554240798644
C32 = 0.48
D32 = 3.1673440602531024
C33 = 0.72
D33 = 2.2310748576518673
C34 = 0.84
D34 = 1.7944949365434224
C35 = 0.96
D35 = 1.4198862562590078
C36 = 1.08
D36 = 1.1763371990282632
C37 = 1.2
D37 = 1.1541051997533383
C38 = 1.32
D38 = 1.3635773406347842
C39 = 1.44
D39 = 1.7189183298825677
C40 = 1.56
D40 = 2.144065702794908
C41 = 1.68
D41 = 2.599252589639229
C42 = 1.56
D42 = 2.144065702794908
C43 = 1.44
D43 = 1.7189183298825677
C44 = 1.32
D44 = 1.3635773406347842
C45 = 1.2
D45 = 1.1541051997533383
C46 = 1.08
D46 = 1.1763371990282632
C47 = 1.2
D47 = 1.1541051997533383
C48 = 1.32
D48 = 1.3635773406347842
C49 = 1.2
D49 = 1.1541051997533383
C50 = 1.08
D50 = 1.1763371990282632
C51 = 0.96
D51 = 1.4198862562590078
C52 = 0.84
D52 = 1.7944949365434224
C53 = 0.96
D53 = 1.4198862562590078
C54 = 1.08
D54 = 1.1763371990282632
C55 = 1.2
D55 = 1.1541051997533383
C56 = 1.32
D56 = 1.3635773406347842
C57 = 1.2
D57 = 1.1541051997533383
C58 = 1.08
D58 = 1.1763371990282632
C59 = 0.96
D59 = 1.4198862562590078
C60 = 1.08
D60 = 1.1763371990282632
C61 = 1.2
D61 = 1.1541051997533383
C62 = 1.32
D62 = 1.3635773406347842
C63 = 1.2
D63 = 1.1541051997533383
C64 = 0.84
D64 = 1.7944949365434224
C65 = 0.6
D65 = 2.694548917703996
C66 = 0.48
D66 = 3.1673440602531024
C67 = 0.6
D67 = 2.694548917703996
C68 = 0.72
D68 = 2.2310748576518673
C69 = 0.84
D69 = 1.7944949365434224
C70 = 1.08
D70 = 1.1763371990282632
C71 = 1.2
D71 = 1.1541051997533383
C72 = 1.2001
D72 = 1.1541915110278105
C73 = 1.2002
D73 = 1.1542779903261011
C74 = 1.2003
D74 = 1.1543646376088639
C75 = 1.2004
D75 = 1.1544514528366887
C76 = 1.2005
D76 = 1.1545384359701023
C77 = 1.2006
D77 = 1.1546255869695683
C78 = 1.2007
D78 = 1.1547129057954868
C79 = 1.2008
D79 = 1.1548003924081938
C80 = 1.2009
D80 = 1.1548880467679628
C81 = 1.201
D81 = 1.1549758688350042
C82 = 1.2011
D82 = 1.1550638585694655
C83 = 1.2012
D83 = 1.1551520159314304
C84 = 1.2013
D84 = 1.1552403408809206
C85 = 1.2014
D85 = 1.155328833377895
C86 = 1.2015
D86 = 1.155417493382249
C87 = 1.2016
D87 = 1.155506320853816
C88 = 1.2017
D88 = 1.155595315752367
C89 = 1.2018
D89 = 1.15568447803761
C90 = 1.2019
D90 = 1.1557738076691908
C91 = 1.202
D91 = 1.155863304606693
C92 = 1.2021
D92 = 1.1559529688096382
C93 = 1.2022
D93 = 1.1560428002374852
C94 = 1.2023
D94 = 1.1561327988496313
C95 = 1.2024
D95 = 1.1562229646054114
C96 = 1.2025
D96 = 1.1563132974640993
C97 = 1.2026
D97 = 1.1564037973849066
C98 = 1.2027
D98 = 1.1564944643269823
C99 = 1.2028
D99 = 1.156585298249415
C100 = 1.2029
D100 = 1.156676299111231
C101 = 1.203
D101 = 1.1567674668713956
C102 = 1.2031
D102 = 1.1568588014888126
C103 = 1.2032
D103 = 1.1569503029223243
C104 = 1.2033
D104 = 1.1570419711307114
C105 = 1.2034
D105 = 1.157133806072695
C106 = 1.2035
D106 = 1.1572258077069328
C107 = 1.2036
D107 = 1.157317975992024
C108 = 1.2037
D108 = 1.1574103108865048
C109 = 1.2038
D109 = 1.157502812348852
C110 = 1.2039
D110 = 1.1575954803374813
C111 = 1.204
D111 = 1.1576883148107475
C112 = 1.2041
D112 = 1.1577813157269448
C113 = 1.2042
D113 = 1.157874483044307
C114 = 1.2043
D114 = 1.1579678167210081
C115 = 1.2044
D115 = 1.1580613167151617
C116 = 1.2045
D116 = 1.1581549829848201
C117 = 1.2046
D117 = 1.1582488154879766
C118 = 1.2047
D118 = 1.1583428141825645
C119 = 1.2048
D119 = 1.1584369790264557
C120 = 1.2049
D120 = 1.158531309977464
C121 = 1.205
D121 = 1.1586258069933422
C122 = 1.2049
D122 = 1.158531309977464
C123 = 1.2048
D123 = 1.1584369790264557
C124 = 1.2047
D124 = 1.1583428141825645
z: t + 3.141592653589793 + (t - 3.141592653589793) * i
e = Segment(w, z)
M: (t, e)
φάση = 1 (slider from 1 to 4, step 1)
Ε = (6.283185307179586, 0)
Α = (0, -6.28319)
Β = (3.141592653589793, -3.141592653589793)
ε = Ray(Β, Ε)
a = Segment(Α, Β)
b = OrthogonalLine(O, ε)
d = OrthogonalLine(K, ε)
β = Angle(Ε, Β, O)
Γ, C = Intersect(c, d)
Δ = Intersect(ε, d)
α = Angle(Ε, Δ, Γ)