[General]
FileFormatVersion=1.0.278
PointCount=14
FigureCount=26
LabelCount=4
WatchExpressionCount=0
StaticGraphicCount=2
ButtonCount=3
LocusCount=0
PaperColor1=16777215
PaperColor2=16769248
AxesColor=15769760
GridColor=15790320
GradientPaper=False
ShowAxes=False
ShowGrid=False
Description=
Window=790x474
WorkArea=(-13.4890345468962,-7.59905743866801,13.565448930694,8.61991681342347)
DemoInterval=1000

[Point1]
Enabled=False
FillColor=16776960
FillStyle=0
ForeColor=4194304
Hide=True
Desc=Точка A.
Name=G
NameColor=0
PhysicalWidth=7
Shape=3
ShowName=True
Type=0
X=-12
Y=7
ZOrder=1

[Point2]
Enabled=False
FillColor=16776960
FillStyle=0
ForeColor=4194304
Hide=True
Desc=Точка B.
Name=I
NameColor=0
PhysicalWidth=7
Shape=3
ShowName=True
Type=0
X=-11
Y=7
ZOrder=2

[Point3]
FillColor=65535
FillStyle=0
ForeColor=10531056
Desc=Точка C, принадлежащая фигуре: Перпендикулярна пряма1.
Name=L
NameColor=0
ParentFigure=2
PhysicalWidth=7
Shape=3
ShowName=False
Type=14
X=-12
Y=2.434169
ZOrder=3

[Point4]
FillColor=65535
FillStyle=0
ForeColor=10531056
Desc=Точка D, принадлежащая фигуре: Перпендикулярна пряма1.
Name=D
NameColor=0
ParentFigure=3
PhysicalWidth=7
Shape=3
ShowName=False
Type=14
X=-12
Y=-.211667
ZOrder=4

[Point5]
FillColor=65535
FillStyle=0
ForeColor=10531056
Desc=Точка E, принадлежащая фигуре: Перпендикулярна пряма1.
Name=E
NameColor=0
ParentFigure=4
PhysicalWidth=7
Shape=3
ShowName=False
Type=14
X=-12
Y=-2.116669
ZOrder=5

[Point6]
FillColor=12648447
FillStyle=0
ForeColor=255
Desc=Точка F, принадлежащая фигуре: Паралельна пряма3.
LabelOffsetY=-3
Name=A
NameColor=0
ParentFigure=8
PhysicalWidth=9
Shape=3
ShowName=True
Type=14
X=-.544717
Y=-2.116669
ZOrder=6

[Point7]
FillColor=12648447
FillStyle=0
ForeColor=255
Desc=Точка H, принадлежащая фигуре: Паралельна пряма2.
LabelOffsetY=-3
Name=B
NameColor=0
ParentFigure=9
PhysicalWidth=9
Shape=3
ShowName=True
Type=14
X=5.55883
Y=-.211667
ZOrder=7

[Point8]
Enabled=False
FillColor=16776701
FillStyle=0
ForeColor=16761024
Hide=True
Desc=Точка J пересечения фигур Окружность1 и Окружность2.
Name=J
NameColor=0
ParentFigure=13
PhysicalWidth=7
Shape=3
ShowName=False
Type=13
X=4.156837
Y=-6.449995
ZOrder=8

[Point9]
FillColor=16776701
FillStyle=0
ForeColor=16711680
Desc=Точка K пересечения фигур Окружность1 и Окружность2.
Name=C
NameColor=0
ParentFigure=13
PhysicalWidth=7
Shape=3
ShowName=True
Type=13
X=.857276
Y=4.121659
ZOrder=9

[Point10]
FillColor=65535
FillStyle=0
ForeColor=10531056
Hide=True
Name=F
NameColor=0
ParentFigure=16
PhysicalWidth=7
Shape=3
ShowName=True
Type=14
X=1.752686
Y=-.211667
ZOrder=10

[Point11]
Enabled=False
FillColor=16776701
FillStyle=0
ForeColor=16761024
Hide=True
Name=H
NameColor=0
ParentFigure=19
PhysicalWidth=7
Shape=3
ShowName=True
Type=13
X=2.253765
Y=-3.153777
ZOrder=11

[Point12]
FillColor=16776701
FillStyle=0
ForeColor=16711680
Hide=True
Name=K
NameColor=0
ParentFigure=19
PhysicalWidth=7
Shape=3
ShowName=True
Type=13
X=-1.045796
Y=.825441
ZOrder=12

[Point13]
FillColor=16776701
FillStyle=0
ForeColor=16761024
Hide=True
LabelOffsetY=22
Name=M
NameColor=0
ParentFigure=24
PhysicalWidth=7
Shape=3
ShowName=True
Type=13
X=-2.744424
Y=-2.116669
ZOrder=13

[Point14]
FillColor=16776701
FillStyle=0
ForeColor=16761024
Name=_N
NameColor=0
ParentFigure=24
PhysicalWidth=7
Shape=3
ShowName=False
Type=13
Visible=False
X=0
Y=0
ZOrder=14
[Misc]
AltP=False

[Figure0]
DrawWidth=1
FillColor=14737663
FigureName=Відрізок1
FigureType=1
FigureTypeString=Segment
ForeColor=0
NumberOfChildren=3
NumberOfPoints=2
Hide=True
Desc=Отрезок, соединяющий точки A и B.
ZOrder=0
Children0=1
Children1=5
Children2=6
Points0=1
Points1=2
AuxPoints(1).X=43.4252702874276
AuxPoints(1).Y=47.242238679212
AuxPoints(2).X=72.5886435469298
AuxPoints(2).Y=47.242238679212

[Figure1]
DrawWidth=1
FillColor=14737663
FigureName=Перпендикулярна пряма1
FigureType=5
FigureTypeString=Perpendicular line
ForeColor=0
NumberOfChildren=3
NumberOfPoints=1
Hide=True
Desc=Прямая, перпендикулярная прямой Відрізок1 и проходящая через точку A.
ZOrder=1
Children0=2
Children1=3
Children2=4
Parents0=0
Points0=1
AuxPoints(1).X=43.4252702874276
AuxPoints(1).Y=473
AuxPoints(2).X=43.4252702874276
AuxPoints(2).Y=-2.44249065417534E-14

[Figure2]
FigureName=Точка фігури1
FigureType=14
FigureTypeString=Point on figure
NumberOfChildren=0
NumberOfPoints=1
Desc=Точка C, принадлежащая фигуре: Перпендикулярна пряма1.
Parents0=1
Points0=3
AuxInfo(1)=4.56583118438721
AuxPoints(1).X=43.4252702874276
AuxPoints(1).Y=180.397277749371

[Figure3]
FigureName=Точка фігури2
FigureType=14
FigureTypeString=Point on figure
NumberOfChildren=0
NumberOfPoints=1
Desc=Точка D, принадлежащая фигуре: Перпендикулярна пряма1.
Parents0=1
Points0=4
AuxInfo(1)=7.21166722476482
AuxPoints(1).X=43.4252702874276
AuxPoints(1).Y=257.558781778347

[Figure4]
FigureName=Точка фігури3
FigureType=14
FigureTypeString=Point on figure
NumberOfChildren=0
NumberOfPoints=1
Desc=Точка E, принадлежащая фигуре: Перпендикулярна пряма1.
Parents0=1
Points0=5
AuxInfo(1)=9.11666917800903
AuxPoints(1).X=43.4252702874276
AuxPoints(1).Y=313.115064800889

[Figure5]
DrawWidth=1
FillColor=14737663
FigureName=Паралельна пряма1
FigureType=4
FigureTypeString=Parallel line
ForeColor=0
NumberOfChildren=0
NumberOfPoints=1
Desc=Прямая, параллельная прямой Відрізок1, и проходящей через точку C.
ZOrder=5
Parents0=0
Points0=3
AuxPoints(1).X=-3.10307335382731E-14
AuxPoints(1).Y=180.397272372018
AuxPoints(2).X=789
AuxPoints(2).Y=180.397272372018

[Figure6]
DrawWidth=1
FillColor=14737663
FigureName=Паралельна пряма2
FigureType=4
FigureTypeString=Parallel line
ForeColor=0
NumberOfChildren=3
NumberOfPoints=1
Desc=Прямая, параллельная прямой Відрізок1, и проходящей через точку D.
ZOrder=6
Children0=7
Children1=9
Children2=16
Parents0=0
Points0=4
AuxPoints(1).X=-3.10307335382731E-14
AuxPoints(1).Y=257.558775223447
AuxPoints(2).X=789
AuxPoints(2).Y=257.558775223447

[Figure7]
DrawWidth=1
FillColor=14737663
FigureName=Паралельна пряма3
FigureType=4
FigureTypeString=Parallel line
ForeColor=0
NumberOfChildren=2
NumberOfPoints=1
Desc=Прямая, параллельная прямой Паралельна пряма2, и проходящей через точку E.
ZOrder=7
Children0=8
Children1=24
Parents0=6
Points0=5
AuxPoints(1).X=789
AuxPoints(1).Y=313.115059609545
AuxPoints(2).X=-3.10307335382731E-14
AuxPoints(2).Y=313.115059609545

[Figure8]
FigureName=Точка фигуры1
FigureType=14
FigureTypeString=Point on figure
NumberOfChildren=0
NumberOfPoints=1
Desc=Точка F, принадлежащая фигуре: Паралельна пряма3.
Parents0=7
Points0=6
AuxInfo(1)=11.4552828669548
AuxPoints(1).X=377.499960329611
AuxPoints(1).Y=313.115059609545

[Figure9]
FigureName=Точка фигуры2
FigureType=14
FigureTypeString=Point on figure
NumberOfChildren=0
NumberOfPoints=1
Desc=Точка H, принадлежащая фигуре: Паралельна пряма2.
Parents0=6
Points0=7
AuxInfo(1)=-17.5588297843933
AuxPoints(1).X=555.499977289755
AuxPoints(1).Y=257.558775223447

[Figure10]
DrawWidth=1
FillColor=14737663
FigureName=Отрезок1
FigureType=1
FigureTypeString=Segment
ForeColor=0
NumberOfChildren=0
NumberOfPoints=2
Desc=Отрезок, соединяющий точки A и B.
ZOrder=10
Points0=6
Points1=7
AuxPoints(1).X=377.499964209658
AuxPoints(1).Y=313.115059609545
AuxPoints(2).X=555.499983577573
AuxPoints(2).Y=257.558775223447

[Figure11]
DrawWidth=1
FillColor=14737663
FigureName=Окружность1
FigureType=6
FigureTypeString=Circle
ForeColor=0
NumberOfChildren=1
NumberOfPoints=2
Hide=True
Desc=Окружность с центром в точке A и проходящая через точку B.
ZOrder=11
Children0=13
Points0=6
Points1=7
AuxInfo(1)=186.468516457249
AuxPoints(1).X=377.499964209658
AuxPoints(1).Y=313.115059609545

[Figure12]
DrawWidth=1
FillColor=14737663
FigureName=Окружность2
FigureType=6
FigureTypeString=Circle
ForeColor=0
NumberOfChildren=1
NumberOfPoints=2
Hide=True
Desc=Окружность с центром в точке B и проходящая через точку A.
ZOrder=12
Children0=13
Points0=7
Points1=6
AuxInfo(1)=186.468516457249
AuxPoints(1).X=555.499983577573
AuxPoints(1).Y=257.558775223447

[Figure13]
FigureName=Точка пересечения1
FigureType=13
FigureTypeString=Intersection point
NumberOfChildren=0
NumberOfPoints=2
Desc=Точка J пересечения фигур Окружность1 и Окружность2.
Parents0=11
Parents1=12
Points0=8
Points1=9
AuxPoints(1).X=514.61312751185
AuxPoints(1).Y=439.489456063233
AuxPoints(2).X=418.386820275382
AuxPoints(2).Y=131.184378769759

[Figure14]
DrawWidth=1
FillColor=14737663
FigureName=Отрезок2
FigureType=1
FigureTypeString=Segment
ForeColor=0
NumberOfChildren=0
NumberOfPoints=2
Desc=Отрезок, соединяющий точки B и K.
ZOrder=14
Points0=7
Points1=9
AuxPoints(1).X=555.499983577573
AuxPoints(1).Y=257.558775223447
AuxPoints(2).X=418.386809375868
AuxPoints(2).Y=131.184371630341

[Figure15]
DrawWidth=1
FillColor=14737663
FigureName=Отрезок3
FigureType=1
FigureTypeString=Segment
ForeColor=0
NumberOfChildren=0
NumberOfPoints=2
Desc=Отрезок, соединяющий точки K и A.
ZOrder=15
Points0=9
Points1=6
AuxPoints(1).X=418.386809375868
AuxPoints(1).Y=131.184371630341
AuxPoints(2).X=377.499964209658
AuxPoints(2).Y=313.115059609545

[Figure16]
FigureName=Point on figure1
FigureType=14
FigureTypeString=Point on figure
NumberOfChildren=0
NumberOfPoints=1
Parents0=6
Points0=10
AuxInfo(1)=-13.7526856660843
AuxPoints(1).X=444.49997568805
AuxPoints(1).Y=257.558775223447

[Figure17]
DrawWidth=1
FillColor=14737663
FigureName=Circle1
FigureType=6
FigureTypeString=Circle
ForeColor=0
NumberOfChildren=1
NumberOfPoints=2
Hide=True
ZOrder=17
Children0=13
Points0=6
Points1=10
AuxInfo(1)=87.0373688584421
AuxPoints(1).X=377.499964209658
AuxPoints(1).Y=313.115059609545

[Figure18]
DrawWidth=1
FillColor=14737663
FigureName=Circle2
FigureType=6
FigureTypeString=Circle
ForeColor=0
NumberOfChildren=1
NumberOfPoints=2
Hide=True
ZOrder=18
Children0=13
Points0=10
Points1=6
AuxInfo(1)=87.0373688584421
AuxPoints(1).X=444.499985426158
AuxPoints(1).Y=257.558775223447

[Figure19]
FigureName=Intersection point1
FigureType=13
FigureTypeString=Intersection point
NumberOfChildren=0
NumberOfPoints=2
Parents0=17
Parents1=18
Points0=11
Points1=12
AuxPoints(1).X=459.113128436142
AuxPoints(1).Y=343.360637844081
AuxPoints(2).X=362.886821199674
AuxPoints(2).Y=227.31319698891

[Figure20]
DrawWidth=3
FillColor=14737663
FigureName=Line1
FigureType=3
FigureTypeString=Line
ForeColor=16761024
NumberOfChildren=1
NumberOfPoints=2
ZOrder=20
Children0=24
Points0=9
Points1=12
AuxPoints(1).X=221.03950057751
AuxPoints(1).Y=473
AuxPoints(2).X=494.126127736272
AuxPoints(2).Y=-2.44249065417534E-14

[Figure21]
DrawWidth=1
FillColor=14737663
FigureName=Segment7
FigureType=1
FigureTypeString=Segment
ForeColor=0
NumberOfChildren=0
NumberOfPoints=2
Hide=True
ZOrder=21
Points0=6
Points1=10
AuxPoints(1).X=377.499964209658
AuxPoints(1).Y=313.115059609545
AuxPoints(2).X=444.499985426158
AuxPoints(2).Y=257.558775223447

[Figure22]
DrawWidth=1
FillColor=14737663
FigureName=Segment8
FigureType=1
FigureTypeString=Segment
ForeColor=0
NumberOfChildren=0
NumberOfPoints=2
Hide=True
ZOrder=22
Points0=10
Points1=12
AuxPoints(1).X=444.499985426158
AuxPoints(1).Y=257.558775223447
AuxPoints(2).X=362.88681030016
AuxPoints(2).Y=227.313207509031

[Figure23]
DrawWidth=1
FillColor=14737663
FigureName=Segment9
FigureType=1
FigureTypeString=Segment
ForeColor=0
NumberOfChildren=0
NumberOfPoints=2
Hide=True
ZOrder=23
Points0=12
Points1=6
AuxPoints(1).X=362.88681030016
AuxPoints(1).Y=227.313207509031
AuxPoints(2).X=377.499964209658
AuxPoints(2).Y=313.115059609545

[Figure24]
FigureName=Intersection point2
FigureType=13
FigureTypeString=Intersection point
NumberOfChildren=0
NumberOfPoints=2
Parents0=7
Parents1=20
Points0=13
Points1=14
AuxPoints(1).X=313.349096993386
AuxPoints(1).Y=313.115059609545

[Figure25]
DrawStyle=1
FigureName=Measure angle1
FigureType=16
FigureTypeString=Measure angle
ForeColor=0
NumberOfChildren=0
NumberOfPoints=3
XS=60°
Hide=True
Points0=9
Points1=13
Points2=6
AuxInfo(1)=60.0000005083217
AuxPoints(1).X=418
AuxPoints(1).Y=131
AuxInfo(2)=16
AuxPoints(2).X=313
AuxPoints(2).Y=313
AuxPoints(3).X=377
AuxPoints(3).Y=313
AuxPoints(4).X=334.99972294628
AuxPoints(4).Y=300.615059513504
AuxPoints(5).X=19
AuxPoints(5).Y=16
AuxPoints(6).X=5
AuxPoints(6).Y=7

[Label1]
Caption=Step 4.
Charset=204
FontName=Arial
FontSize=16
ForeColor=16711680
BackColor=16777215
Desc=Надпись "Step 1."
X=-12.7518101022285
Y=8.1570061534327

[Label2]
Caption=We CAN construct a real line instead of this~~locus. Let's just think: a line passes through~~two points. One point is ready: it is point C.~~Let's pick another point (say D) on the second line~~(like point B) and draw an equilateral triangle~~with vertices A and D.~~Then just connect vertex C with the third vertex~~of a new triangle.
Charset=204
FontName=Arial
FontSize=12
ForeColor=0
BackColor=16777215
Desc=Надпись "It is clear that when the triangle is already built,"
X=-12.7175205160718
Y=6.81971229332368

[Label3]
Caption=Now explore the blue line. For this, intersect it with the first of the ~~parallel lines and measure the angle.
Charset=204
FontName=Arial
FontSize=12
ForeColor=0
BackColor=16777215
X=-13.0089811658488
Y=-2.79851599400202

[Label4]
Caption=Note that the blue line intersects the third line~~right where we need the third vertex to be!~~It's because the blue line is the locus of ALL~~possible vertices C, and among them there is~~only one - that lies on the third line and is our solution.
Charset=204
FontName=Arial
FontSize=12
ForeColor=0
BackColor=16777215
X=-13.0261256838786
Y=-4.29011278606132

[SG1]
DrawMode=9
DrawStyle=0
DrawWidth=1
FillColor=14737663
FillStyle=-1
ForeColor=0
NumberOfPoints=3
Type=0
Desc=Многоугольник (A,B,K).
Visible=True
Point1=6
Point2=7
Point3=9

[SG2]
DrawMode=9
DrawStyle=0
DrawWidth=1
FillColor=12648447
FillStyle=-1
ForeColor=12648447
NumberOfPoints=3
Type=0
Hide=True
Visible=True
Point1=6
Point2=10
Point3=12

[Button1]
Type=0
Caption=How to do it?
Charset=204
FontName=Arial
FontSize=10
Forecolor=-2147483630
X=7.57799854061779
Y=6.75504847285839
Figure#1=21
Figure#2=22
Figure#3=23
Point#1=10
Point#2=12
SG#1=2

[Button2]
Type=0
Caption=Do it for me!
Charset=204
FontName=Arial
FontSize=10
Forecolor=-2147483630
X=3.63469613260401
Y=-3.01748358178446
Figure#1=25
Point#1=13

[Button3]
Type=3
Caption=Now, how to construct the blue line in a more easy way?
Charset=204
FontName=Arial
FontSize=10
Forecolor=-2147483630
X=.960108412385964
Y=-5.86351923278571
Path=3LinesTriangle6.dgf

