Expression 14: StartFraction, left parenthesis, left parenthesis, "x" minus "T" Subscript, "h" "i" "s" "X" , Baseline plus 1 half left parenthesis, "T" Subscript, "h" "i" "s" "X" , Baseline minus "P" Subscript, "l" "a" "y" "e" "r" "X" , Baseline , right parenthesis , right parenthesis cos left parenthesis, "A" Subscript, "n" "g" "l" "e" "T" "t" "o" "P" , Baseline , right parenthesis minus left parenthesis, "y" minus "T" Subscript, "h" "i" "s" "Y" , Baseline plus 1 half left parenthesis, "T" Subscript, "h" "i" "s" "Y" , Baseline minus "P" Subscript, "l" "a" "y" "e" "r" "Y" , Baseline , right parenthesis , right parenthesis sin left parenthesis, "A" Subscript, "n" "g" "l" "e" "T" "t" "o" "P" , Baseline , right parenthesis , right parenthesis squared Over StartNestedFraction, "M" squared NestedOver 4 , EndNestedFraction , EndFraction plus StartFraction, left parenthesis, left parenthesis, "x" minus "T" Subscript, "h" "i" "s" "X" , Baseline minus 1 half left parenthesis, "T" Subscript, "h" "i" "s" "X" , Baseline minus "P" Subscript, "l" "a" "y" "e" "r" "X" , Baseline , right parenthesis , right parenthesis sin left parenthesis, "A" Subscript, "n" "g" "l" "e" "T" "t" "o" "P" , Baseline , right parenthesis plus left parenthesis, "y" minus "T" Subscript, "h" "i" "s" "Y" , Baseline minus 1 half left parenthesis, "T" Subscript, "h" "i" "s" "Y" , Baseline minus "P" Subscript, "l" "a" "y" "e" "r" "Y" , Baseline , right parenthesis , right parenthesis cos left parenthesis, "A" Subscript, "n" "g" "l" "e" "T" "t" "o" "P" , Baseline , right parenthesis , right parenthesis squared Over "A" squared , EndFraction equals 1x−ThisX+12ThisX−PlayerXcosAngleTtoP−y−ThisY+12ThisY−PlayerYsinAngleTtoP2M2agnitude4+x−ThisX−12ThisX−PlayerXsinAngleTtoP+y−ThisY−12ThisY−PlayerYcosAngleTtoP2A2rcHeight=1
14
Calculate Circle
15
Expression 16: "M" Subscript, "a" "g" "n" "i" "t" "u" "d" "e" , Baseline equals StartRoot, left parenthesis, "T" Subscript, "h" "i" "s" "X" , Baseline minus "P" Subscript, "l" "a" "y" "e" "r" "X" , Baseline , right parenthesis squared plus left parenthesis, "T" Subscript, "h" "i" "s" "Y" , Baseline minus "P" Subscript, "l" "a" "y" "e" "r" "Y" , Baseline , right parenthesis squared , EndRootMagnitude=ThisX−PlayerX2+ThisY−PlayerY2
equals=
14.7 8 0 0 5 4 1 2 7 114.7800541271
16
Expression 17: "A" Subscript, "n" "g" "l" "e" "T" "t" "o" "P" , Baseline equals negative arc tangent left parenthesis, "T" Subscript, "h" "i" "s" "Y" , Baseline minus "P" Subscript, "l" "a" "y" "e" "r" "Y" , Baseline , "T" Subscript, "h" "i" "s" "X" , Baseline minus "P" Subscript, "l" "a" "y" "e" "r" "X" , Baseline , right parenthesisAngleTtoP=−arctanThisY−PlayerY,ThisX−PlayerX
equals=
negative 2.3 4 1 8 4 1 4 0 8 9 2−2.34184140892
17
Get Position on Arc
18
Expression 19: "C" Subscript, "e" "n" "t" "e" "r" "X" , Baseline equals StartFraction, left parenthesis, "P" Subscript, "l" "a" "y" "e" "r" "X" , Baseline plus "T" Subscript, "h" "i" "s" "X" , Baseline , right parenthesis Over 2 , EndFractionCenterX=PlayerX+ThisX2
equals=
12.3 512.35
19
Expression 20: "C" Subscript, "e" "n" "t" "e" "r" "Y" , Baseline equals StartFraction, left parenthesis, "P" Subscript, "l" "a" "y" "e" "r" "Y" , Baseline plus "T" Subscript, "h" "i" "s" "Y" , Baseline , right parenthesis Over 2 , EndFractionCenterY=PlayerY+ThisY2
equals=
negative 0.1−0.1
20
A = Theta
B = Width
C = Height
D = Tilt
E = X / Y Center
21
((B*(cos(A))*(cos(D)))-(C*(sin(A))*(sin(D))))+E
22
Expression 23: "T" Subscript, "a" "r" "g" "e" "t" "X" , Baseline equals left parenthesis, left parenthesis, StartRoot, StartFraction, "M" squared Over 4 , EndFraction , EndRoot times left parenthesis, cos left parenthesis, "A" Subscript, "r" "c" "P" "r" "o" "g" "r" "e" "s" "s" , Baseline , right parenthesis , right parenthesis times left parenthesis, cos left parenthesis, "A" Subscript, "n" "g" "l" "e" "T" "t" "o" "P" , Baseline , right parenthesis , right parenthesis , right parenthesis minus left parenthesis, "A" Subscript, "r" "c" "H" "e" "i" "g" "h" "t" , Baseline times left parenthesis, sin left parenthesis, "A" Subscript, "r" "c" "P" "r" "o" "g" "r" "e" "s" "s" , Baseline , right parenthesis , right parenthesis times left parenthesis, sin left parenthesis, "A" Subscript, "n" "g" "l" "e" "T" "t" "o" "P" , Baseline , right parenthesis , right parenthesis , right parenthesis , right parenthesis plus "C" Subscript, "e" "n" "t" "e" "r" "X" , BaselineTargetX=M2agnitude4·cosArcProgress·cosAngleTtoP−ArcHeight·sinArcProgress·sinAngleTtoP+CenterX
equals=
10.3 9 1 9 4 2 9 9 8 910.3919429989
23
((B*(-cos(A))*(sin(D)))+(C*(sin(A))*(cos(D))))+E
24
Expression 25: "T" Subscript, "a" "r" "g" "e" "t" "Y" , Baseline equals left parenthesis, left parenthesis, StartRoot, StartFraction, "M" squared Over 4 , EndFraction , EndRoot times left parenthesis, negative cos left parenthesis, "A" Subscript, "r" "c" "P" "r" "o" "g" "r" "e" "s" "s" , Baseline , right parenthesis , right parenthesis times left parenthesis, sin left parenthesis, "A" Subscript, "n" "g" "l" "e" "T" "t" "o" "P" , Baseline , right parenthesis , right parenthesis , right parenthesis minus left parenthesis, "A" Subscript, "r" "c" "H" "e" "i" "g" "h" "t" , Baseline times left parenthesis, sin left parenthesis, "A" Subscript, "r" "c" "P" "r" "o" "g" "r" "e" "s" "s" , Baseline , right parenthesis , right parenthesis times left parenthesis, cos left parenthesis, "A" Subscript, "n" "g" "l" "e" "T" "t" "o" "P" , Baseline , right parenthesis , right parenthesis , right parenthesis , right parenthesis plus "C" Subscript, "e" "n" "t" "e" "r" "Y" , BaselineTargetY=M2agnitude4·−cosArcProgress·sinAngleTtoP−ArcHeight·sinArcProgress·cosAngleTtoP+CenterY
equals=
negative 3.7 4 2 3 4 1 5 1 9 8 1−3.74234151981
25
Expression 26:
26
27
propulsé par
propulsé par
left parenthesis, 10.6 9 1 5 6 , negative 3.9 9 0 8 9 , right parenthesis10.69156,−3.99089
"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
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Coniques : Ellipse et Foyers
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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