Expression 47: "Q" left parenthesis, 2cos left parenthesis, pi alpha left parenthesis, "t" , right parenthesis positive pi , right parenthesis , 2sin left parenthesis, pi alpha left parenthesis, "t" , right parenthesis positive pi , right parenthesis , 2cos left parenthesis, pi beta left parenthesis, "t" , right parenthesis positive pi , right parenthesis , 2sin left parenthesis, pi beta left parenthesis, "t" , right parenthesis positive pi , right parenthesis , right parenthesisQ2cosπαt+π,2sinπαt+π,2cosπβt+π,2sinπβt+π
Minimum du domaine t: 00
less than or equal to "t" less than or equal to≤t≤
Maximum du domaine t: 11
47
Expression 48: "Q" left parenthesis, 2cos left parenthesis, pi beta left parenthesis, "t" , right parenthesis positive pi , right parenthesis , 2sin left parenthesis, pi beta left parenthesis, "t" , right parenthesis positive pi , right parenthesis , 2cos left parenthesis, pi alpha left parenthesis, "t" , right parenthesis positive pi , right parenthesis , 2sin left parenthesis, pi alpha left parenthesis, "t" , right parenthesis positive pi , right parenthesis , right parenthesisQ2cosπβt+π,2sinπβt+π,2cosπαt+π,2sinπαt+π
Minimum du domaine t: 00
less than or equal to "t" less than or equal to≤t≤
Maximum du domaine t: 11
48
Rotation Panel
49
Expression 50: "x" Subscript, 1 , Baseline equals negative 7.5x1=−7.5
Rotations: left parenthesis, "x" Subscript, 1 , Baseline , "y" Subscript, 1 , Baseline positive 2.5 positive left brace, "P" Subscript, "a" "n" "e" "l" , Baseline equals 1 : 0 , right brace , right parenthesisx1,y1+2.5+Panel=1:0
Étiquette:
52
Expression 53: StartFraction, left parenthesis, "x" minus "x" Subscript, 1 , Baseline , right parenthesis to the 10th power Over 1.7 5 to the 10th power , EndFraction plus StartFraction, left parenthesis, "y" minus "y" Subscript, 1 , Baseline , right parenthesis to the 10th power Over 2 to the 10th power , EndFraction less than or equal to 1 positive left brace, "P" Subscript, "a" "n" "e" "l" , Baseline equals 1 : 0 , right bracex−x1101.7510+y−y110210≤1+Panel=1:0
53
Étiquette masqué left parenthesis, "x" Subscript, 1 , Baseline negative 1.2 5 , "y" Subscript, 1 , Baseline negative StartFraction, pi Over 2 , EndFraction positive left brace, "P" Subscript, "a" "n" "e" "l" , Baseline equals 1 : 0 , right brace , right parenthesis , left parenthesis, "x" Subscript, 1 , Baseline negative 1.2 5 , "y" Subscript, 1 , Baseline positive StartFraction, pi Over 2 , EndFraction positive left brace, "P" Subscript, "a" "n" "e" "l" , Baseline equals 1 : 0 , right brace , right parenthesisx1−1.25,y1−π2+Panel=1:0,x1−1.25,y1+π2+Panel=1:0
Étiquette
54
Étiquette masqué left parenthesis, "x" Subscript, 1 , Baseline negative 0.7 5 , "y" Subscript, 1 , Baseline negative StartFraction, pi Over 2 , EndFraction positive left brace, "P" Subscript, "a" "n" "e" "l" , Baseline equals 1 : 0 , right brace , right parenthesis , left parenthesis, "x" Subscript, 1 , Baseline negative 0.7 5 , "y" Subscript, 1 , Baseline positive StartFraction, pi Over 2 , EndFraction positive left brace, "P" Subscript, "a" "n" "e" "l" , Baseline equals 1 : 0 , right brace , right parenthesisx1−0.75,y1−π2+Panel=1:0,x1−0.75,y1+π2+Panel=1:0
Étiquette
55
Étiquette masqué left parenthesis, "x" Subscript, 1 , Baseline negative 0.2 5 , "y" Subscript, 1 , Baseline negative StartFraction, pi Over 2 , EndFraction positive left brace, "P" Subscript, "a" "n" "e" "l" , Baseline equals 1 : 0 , right brace , right parenthesis , left parenthesis, "x" Subscript, 1 , Baseline negative 0.2 5 , "y" Subscript, 1 , Baseline positive StartFraction, pi Over 2 , EndFraction positive left brace, "P" Subscript, "a" "n" "e" "l" , Baseline equals 1 : 0 , right brace , right parenthesisx1−0.25,y1−π2+Panel=1:0,x1−0.25,y1+π2+Panel=1:0
Étiquette
56
Étiquette masqué left parenthesis, "x" Subscript, 1 , Baseline positive 0.2 5 , "y" Subscript, 1 , Baseline negative StartFraction, pi Over 2 , EndFraction positive left brace, "P" Subscript, "a" "n" "e" "l" , Baseline equals 1 : 0 , right brace , right parenthesis , left parenthesis, "x" Subscript, 1 , Baseline positive 0.2 5 , "y" Subscript, 1 , Baseline positive StartFraction, pi Over 2 , EndFraction positive left brace, "P" Subscript, "a" "n" "e" "l" , Baseline equals 1 : 0 , right brace , right parenthesisx1+0.25,y1−π2+Panel=1:0,x1+0.25,y1+π2+Panel=1:0
Étiquette
57
Étiquette masqué left parenthesis, "x" Subscript, 1 , Baseline positive 0.7 5 , "y" Subscript, 1 , Baseline negative StartFraction, pi Over 2 , EndFraction positive left brace, "P" Subscript, "a" "n" "e" "l" , Baseline equals 1 : 0 , right brace , right parenthesis , left parenthesis, "x" Subscript, 1 , Baseline positive 0.7 5 , "y" Subscript, 1 , Baseline positive StartFraction, pi Over 2 , EndFraction positive left brace, "P" Subscript, "a" "n" "e" "l" , Baseline equals 1 : 0 , right brace , right parenthesisx1+0.75,y1−π2+Panel=1:0,x1+0.75,y1+π2+Panel=1:0
Étiquette
58
Étiquette masqué left parenthesis, "x" Subscript, 1 , Baseline positive 1.2 5 , "y" Subscript, 1 , Baseline negative StartFraction, pi Over 2 , EndFraction positive left brace, "P" Subscript, "a" "n" "e" "l" , Baseline equals 1 : 0 , right brace , right parenthesis , left parenthesis, "x" Subscript, 1 , Baseline positive 1.2 5 , "y" Subscript, 1 , Baseline positive StartFraction, pi Over 2 , EndFraction positive left brace, "P" Subscript, "a" "n" "e" "l" , Baseline equals 1 : 0 , right brace , right parenthesisx1+1.25,y1−π2+Panel=1:0,x1+1.25,y1+π2+Panel=1:0
Étiquette
59
`XY = ${A_1}°` left parenthesis, Start Cube Root, "x" cubed , End Cube Root negative 1.2 5 , Start Cube Root, "y" cubed , End Cube Root positive StartFraction, theta Subscript, "x" "y" , Baseline Over 2 , EndFraction positive left brace, "P" Subscript, "a" "n" "e" "l" , Baseline equals 1 : 0 , right brace , right parenthesis3x31−1.25,3y31+θxy2+Panel=1:0
Étiquette:
60
`XZ = ${B_1}°` left parenthesis, Start Cube Root, "x" cubed , End Cube Root negative 0.7 5 , Start Cube Root, "y" cubed , End Cube Root positive StartFraction, theta Subscript, "x" "z" , Baseline Over 2 , EndFraction positive left brace, "P" Subscript, "a" "n" "e" "l" , Baseline equals 1 : 0 , right brace , right parenthesis3x31−0.75,3y31+θxz2+Panel=1:0
Étiquette:
61
`YZ = ${C_1}°` left parenthesis, Start Cube Root, "x" cubed , End Cube Root negative 0.2 5 , Start Cube Root, "y" cubed , End Cube Root positive StartFraction, theta Subscript, "y" "z" , Baseline Over 2 , EndFraction positive left brace, "P" Subscript, "a" "n" "e" "l" , Baseline equals 1 : 0 , right brace , right parenthesis3x31−0.25,3y31+θyz2+Panel=1:0
Étiquette:
62
`XW = ${D_1}°` left parenthesis, Start Cube Root, "x" cubed , End Cube Root positive 0.2 5 , Start Cube Root, "y" cubed , End Cube Root positive StartFraction, theta Subscript, "x" "w" , Baseline Over 2 , EndFraction positive left brace, "P" Subscript, "a" "n" "e" "l" , Baseline equals 1 : 0 , right brace , right parenthesis3x31+0.25,3y31+θxw2+Panel=1:0
Étiquette:
63
`YW = ${E_1}°` left parenthesis, Start Cube Root, "x" cubed , End Cube Root positive 0.7 5 , Start Cube Root, "y" cubed , End Cube Root positive StartFraction, theta Subscript, "y" "w" , Baseline Over 2 , EndFraction positive left brace, "P" Subscript, "a" "n" "e" "l" , Baseline equals 1 : 0 , right brace , right parenthesis3x31+0.75,3y31+θyw2+Panel=1:0
Étiquette:
64
`ZW = ${F_1}°` left parenthesis, Start Cube Root, "x" cubed , End Cube Root positive 1.2 5 , Start Cube Root, "y" cubed , End Cube Root positive StartFraction, theta Subscript, "z" "w" , Baseline Over 2 , EndFraction positive left brace, "P" Subscript, "a" "n" "e" "l" , Baseline equals 1 : 0 , right brace , right parenthesis3x31+1.25,3y31+θzw2+Panel=1:0
Étiquette:
65
Platforms
66
Expression 67: polygon left parenthesis, "P" left parenthesis, 5 , 5 , negative 5 , right parenthesis , "P" left parenthesis, negative 5 , 5 , negative 5 , right parenthesis , "P" left parenthesis, negative 5 , negative 5 , negative 5 , right parenthesis , "P" left parenthesis, 5 , negative 5 , negative 5 , right parenthesis , right parenthesispolygonP5,5,−5,P−5,5,−5,P−5,−5,−5,P5,−5,−5
67
Expression 68: polygon left parenthesis, "P" left parenthesis, 5 , 5 , negative 4 , right parenthesis , "P" left parenthesis, negative 5 , 5 , negative 4 , right parenthesis , "P" left parenthesis, negative 5 , negative 5 , negative 4 , right parenthesis , "P" left parenthesis, 5 , negative 5 , negative 4 , right parenthesis , right parenthesispolygonP5,5,−4,P−5,5,−4,P−5,−5,−4,P5,−5,−4
68
Expression 69: polygon left parenthesis, "P" left parenthesis, 5 , 5 , negative 3 , right parenthesis , "P" left parenthesis, negative 5 , 5 , negative 3 , right parenthesis , "P" left parenthesis, negative 5 , negative 5 , negative 3 , right parenthesis , "P" left parenthesis, 5 , negative 5 , negative 3 , right parenthesis , right parenthesispolygonP5,5,−3,P−5,5,−3,P−5,−5,−3,P5,−5,−3
69
Calculations
70
Expression 71: "S" Subscript, "i" "g" "n" "i" "f" "i" "c" "a" "n" "t" , Baseline left parenthesis, "x" , right parenthesis equals left brace, "x" equals 0 : 0 , sign left parenthesis, "x" , right parenthesis StartFraction, round left parenthesis, 10 Superscript, "n" minus ceil left parenthesis, log Subscript, 10 , Baseline left parenthesis, StartAbsoluteValue, "x" , EndAbsoluteValue , right parenthesis , right parenthesis , Baseline StartAbsoluteValue, "x" , EndAbsoluteValue , right parenthesis Over 10 Superscript, "n" minus ceil left parenthesis, log Subscript, 10 , Baseline left parenthesis, StartAbsoluteValue, "x" , EndAbsoluteValue , right parenthesis , right parenthesis , Baseline , EndFraction , right braceSignificantx=x=0:0,signxround10n−ceillog10xx10n−ceillog10x
71
Expression 72: "A" Subscript, 1 , Baseline equals "S" Subscript, "i" "g" "n" "i" "f" "i" "c" "a" "n" "t" , Baseline left parenthesis, theta Subscript, "x" "y" , Baseline times StartFraction, 180 Over pi , EndFraction , right parenthesisA1=Significantθxy·180π
equals=
negative 28.6 5−28.65
72
Expression 73: "B" Subscript, 1 , Baseline equals "S" Subscript, "i" "g" "n" "i" "f" "i" "c" "a" "n" "t" , Baseline left parenthesis, theta Subscript, "x" "z" , Baseline times StartFraction, 180 Over pi , EndFraction , right parenthesisB1=Significantθxz·180π
equals=
negative 25.7 8−25.78
73
Expression 74: "C" Subscript, 1 , Baseline equals "S" Subscript, "i" "g" "n" "i" "f" "i" "c" "a" "n" "t" , Baseline left parenthesis, theta Subscript, "y" "z" , Baseline times StartFraction, 180 Over pi , EndFraction , right parenthesisC1=Significantθyz·180π
equals=
00
74
Expression 75: "D" Subscript, 1 , Baseline equals "S" Subscript, "i" "g" "n" "i" "f" "i" "c" "a" "n" "t" , Baseline left parenthesis, theta Subscript, "x" "w" , Baseline times StartFraction, 180 Over pi , EndFraction , right parenthesisD1=Significantθxw·180π
equals=
0.3 4 3 80.3438
75
Expression 76: "E" Subscript, 1 , Baseline equals "S" Subscript, "i" "g" "n" "i" "f" "i" "c" "a" "n" "t" , Baseline left parenthesis, theta Subscript, "y" "w" , Baseline times StartFraction, 180 Over pi , EndFraction , right parenthesisE1=Significantθyw·180π
equals=
00
76
Expression 77: "F" Subscript, 1 , Baseline equals "S" Subscript, "i" "g" "n" "i" "f" "i" "c" "a" "n" "t" , Baseline left parenthesis, theta Subscript, "z" "w" , Baseline times StartFraction, 180 Over pi , EndFraction , right parenthesisF1=Significantθzw·180π
equals=
negative 3.3 2 3−3.323
77
78
propulsé par
propulsé par
3D Perspective
4D Rotation
Rotations
"X" "Y" equals negative 28.6 5 degreesXY=−28.65°
"X" "Z" equals negative 25.7 8 degreesXZ=−25.78°
"Y" "Z" equals 0 degreesYZ=0°
"X" "W" equals 0.3 4 3 8 degreesXW=0.3438°
"Y" "W" equals 0 degreesYW=0°
"Z" "W" equals negative 3.3 2 3 degreesZW=−3.323°
"x"x
"y"y
"a" squareda2
"a" Superscript, "b" , Baselineab
77
88
99
over÷
fonctions
((
))
less than<
greater than>
44
55
66
times×
| "a" ||a|
,,
less than or equal to≤
greater than or equal to≥
11
22
33
negative−
A B C
StartRoot, , EndRoot
piπ
00
..
equals=
positive+
ou
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Exemples
Droites : Forme avec la pente et l'ordonnée à l'origine
exemple
Droites : Forme avec la pente passant par un point donné
exemple
Droites : Passant par deux points donnés
exemple
Paraboles : Forme générale
exemple
Paraboles : Forme canonique
exemple
Paraboles : Forme générale + Tangente
exemple
Trigonométrie : Période et Amplitude
exemple
Trigonométrie : Phase
exemple
Trigonométrie : Phase et addition de fonctions
exemple
Trigonométrie : Cercle trigonométrique
exemple
Coniques : Cercle
exemple
Coniques : Parabole et Foyer
exemple
Coniques : Ellipse et Foyers
exemple
Coniques : Hyperbole
exemple
Polaire : Rosace
exemple
Polaire : Spirale logarithmique
exemple
Polaire : Limaçon
exemple
Polaire : Les coniques
exemple
Paramétrique : Introduction
exemple
Paramétrique : Cycloïde
exemple
Transformations : Translation de fonctions
exemple
Transformations : Compression et étirement de fonctions