//
// Autor: Timo Ehmke (ehmke@uni-flensburg.de)
//

MEASURE_EXACTNESS = 1

// Figurenbeschreibung 
// ===================

e[1]  = A;   point;   fixed;             -4.0, 1.0;            "hidden"
e[2]  = B;   point;   fixed;             -4.0,11.0;            "hidden"
e[3]  = C;   point;   fixed;             -14.0,11.0;           "hidden"
e[4]  = D;   point;   fixed;             -14.0, 1.0;           "hidden"
e[5]  = M;   point;   midpoint;          A,B;                  "hidden"
e[6]  = a';  line;    connect;           M,A;                  "hidden"
e[7]  = P;   point;   lineSegmentSlider; -4.0,4.1,a'; 
e[8]  = m1;  measure; YVector;           A,P,-100.0,-100.0,"","";
e[9]  = m2;  measure; YVector;           P,A,-100.0,-100.0,"","";
e[10] = m3;  measure; calculate;         "0.0",-100.0,-100.0,"","";
e[11] = P1;  point;   translation;       B,m3,m2;              "hidden"
e[12] = P2;  point;   translation;       B,m2,m2;              "hidden"
e[13] = P3;  point;   translation;       B,m2,m3;              "hidden"
e[14] = P4;  point;   translation;       C,m1,m3;              "hidden"
e[15] = P5;  point;   translation;       C,m1,m2;              "hidden"
e[16] = P6;  point;   translation;       C,m3,m2;              "hidden"
e[17] = P7;  point;   translation;       D,m3,m1;              "hidden"
e[18] = P8;  point;   translation;       D,m1,m1;              "hidden"
e[19] = P9;  point;   translation;       D,m1,m3;              "hidden"
e[20] = P10; point;   translation;       A,m2,m3;              "hidden"
e[21] = P11; point;   translation;       A,m2,m1;              "hidden"
e[22] = p0;  polygon; quadrilateral;     A,B,C,D;              0;0;black;yellow
e[23] = p1;  polygon; quadrilateral;     P,P1,P6,P7;           0;0;black;lightGray
e[24] = p2;  polygon; quadrilateral;     P9,P10,P3,P4;         0;0;black;lightGray
e[25] = p3;  polygon; quadrilateral;     P2,P5,P8,P11;         0;0;black;gray
e[26] = Q1;  point;   free;              -13.0,-9.0;            "hideLabel"
e[27] = Q2;  point;   translation;       Q1,P9,P10;            "hidden"
e[28] = Q3;  point;   translation;       Q1,A,P;               "hidden"
e[29] = Q4;  point;   translation;       Q2,A,P;               "hidden"
e[30] = Q5;  point;   rotation;          Q1,Q2,2.35619449,0.5; "hidden"
e[31] = Q6;  point;   translation;       Q5,A,P;               "hidden"
e[32] = Q7;  point;   translation;       Q3,Q2,Q5;             "hidden"
e[33] = Q8;  point;   translation;       Q1,Q2,Q5;             "hidden"
e[34] = q0;  polygon; quadrilateral;     Q1,Q2,Q5,Q8;          0;0;black;gray
e[35] = q1;  polygon; quadrilateral;     Q5,Q6,Q7,Q8;          0;0;black;lightGray
e[36] = q2;  polygon; quadrilateral;     Q1,Q3,Q7,Q8;          0;0;black;lightGray
e[37] = q3;  polygon; quadrilateral;     Q1,Q2,Q4,Q3;          0;0;black;green
e[38] = q4;  polygon; quadrilateral;     Q2,Q5,Q6,Q4;          0;0;black;green
e[39] = m4;  measure; calculate;        "distance(A,P)*distance(P,P1)^2",1.0,10.0,"Schachtelvolumen = bē x = ",""; 
e[40] = m5;  measure; calculate;         "-1.0",-100.0,-100.0,"","";     
e[41] = R1;  point;   translation;       P9,m3,m5;             0;black;black;smallcircle
e[42] = R2;  point;   translation;       P10,m3,m5;            0;black;black;smallcircle
e[43] = R3;  point;   fixed;             -15.0,11.0;           0;black;black;smallcircle
e[44] = R4;  point;   fixed;             -15.0, 1.0;           0;black;black;smallcircle
e[45] = R5;  point;   fixed;             -3.0, 1.0;            0;black;black;smallcircle
e[46] = R6;  point;   translation;       R5,A,P;               0;black;black;smallcircle
e[47] = x;   line;    connect;           R5,R6;                black;0;black;0
e[48] = b;   line;    connect;           R1,R2;                black;0;black;0
e[49] = a;   line;    connect;           R3,R4;                black;0;black;0
e[50] = m6;  measure; distance;          A,P,1.0,7.0,"x = ",""; 
e[51] = m7;  measure; distance;          A,B,1.0,9.0,"a = ",""; 
e[52] = m8;  measure; distance;          P,P1,1.0,8.0,"b = ",""; 
//e[53] = O;   point;   free;              1.0,-9.0;            "hidden"
e[54] = Ox;  point;   translation;       O,2.0,0.0;            "hidden"
e[55] = Oy;  point;   translation;       O,0.0,0.15;           "hidden"
e[56] = coord;point;  coordSystem;       O,O,Ox,O,Oy,10,220,10,220; 0;red;black;0
e[57] = C1;  point;   functionDepend;    "0","calculate(m4)", coord; "hidden"
e[58] = C2;  point;   functionDepend;    "calculate(m6)","0", coord; "hidden"
e[59] = C3;  point;   functionDepend;    "calculate(m6)","calculate(m4)", coord; "hideLabel"
e[60] = c1;  line;    connect;           C1,C3;                0;0;lightGray;0
e[61] = c2;  line;    connect;           C2,C3;                0;0;lightGray;0
e[62] = locus;line;   locus;             C3,P,a',100;          0;red;black;0