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need to construct a piecewise 'function" of cylinder 'd' and cone 'a' , so that i can move a general from origin to any point on this combined objects. Please help. thanks
Files:
issue52.ggb
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when we say 'piecewise', we say multiple domains.
where are domains in issue52.ggb ?
domain; ALONG Y-AXIS: height of cylinder betwen 0 and 8 and for cone domain between 0 and 3.. thanks
ok, you have:
cyl: AB {(3.2. 0),(3.2, 8)}
con: BC {(3.2, 8),(0, 11)}
r: OA {(0, 0),(3.2, 0)}
ax: OC {(0, 0),(0, 11)}
ang: 2π
then you can do
1) Polyline{O,A,B,C}: {(0, 0),(3.2, 0),(3.2, 8),(0, 11)},
2) Line{O,C}: {(0, 0),(0, 11)},
and
3) Surface knowing angle of rotation, ang=2*pi.
Now, put these, row by row, into input window of Geogebra using copy from here ( from this message ) paste in input window of Geogebra then push Enter after each pasted:
Execute[{"(0, 0)","(3.2, 0)","(3.2, 8)","(0, 11)"}]
Polyline[A, B, C, D]
Line[A,D]
Surface[ f, 2*π, g]
Observation:
Execute[{"(0, 0)","(3.2, 0)","(3.2, 8)","(0, 11)"}], return names of points: A, B, C, D
See appended file
Hi,
Many behaviour are possible...
eg:
https://www.geogebra.org/ma...
...
Surface[
(3.2-r)*cos(u) ,
(3.2-r)*sin(u) ,
8+r,
u, 0, 2 π ,
r, 0, 3.2
]
Surface[
3.2*cos(u) ,
3.2*sin(u) ,
h,
u, 0, 2 π ,
h, 0, 8
]
Surface[
r*cos(u) ,
r*sin(u) ,
0,
u, 0, 2 π ,
r, 0, 3.2
]
Execute[{"(0,0)","(3.2,0)","(3.2,8)","(0,11)","(-3.2,8)","(-3.2,0)","Line[(0,0),(0,11)]"}]
Polygon[A,B,C,D,E,F]
Surface[
poly1,
pi,
f
]
;-)
Execute[{
"(0,0)","(3.2,0)","(3.2,8)","(0,11)","(-3.2,8)","(-3.2,0)",
"Polygon[(0,0),(3.2,0),(3.2,8),(0,11),(-3.2,8),(-3.2,0)]",
"Line[(0,0),(0,11)]",
"Surface[
Polygon[(0,0),(3.2,0),(3.2,8),(0,11),(-3.2,8),(-3.2,0)],
pi,
Line[(0,0),(0,11)]
]"
}]
:-)
Execute[{
"Polygon[(0,0),(3.2,0),(3.2,8),(0,11),(-3.2,8),(-3.2,0)]",
"Line[(0,0),(0,11)]",
"Surface[
Polygon[(0,0),(3.2,0),(3.2,8),(0,11),(-3.2,8),(-3.2,0)],
pi,
Line[(0,0),(0,11)]
]"
}]
Copy from here entire command Execute[{}] and do paste into Input window of Geogebra then push on Enter key.
Enjoy entering sequences of commands into Input window of Geogebra using Execute[{}] command.
Execute[{
"Surface[
Polygon[(0,0),(3.2,0),(3.2,8),(0,11),(-3.2,8),(-3.2,0)],
pi,
Line[(0,0),(0,11)]
]"
}]
Execute[{
"Surface[
( (3.2-r)*cos(u) , (3.2-r)*sin(u) , 8+r ),
u, 0, 2 π ,
r, 0, 3.2
]",
"Surface[
( 3.2*cos(u) , 3.2*sin(u) , h ) ,
u, 0, 2 π ,
h, 0, 8
]",
"Surface[
( r*cos(u) , r*sin(u) , 0 ) ,
u, 0, 2 π ,
r, 0, 3.2
]"
}]
Good morning Geogebra !
Execute[{
"A=(0,0)","B=(3.2,0)","C=(3.2,8)","D=(0,11)","E=(-3.2,8)","F=(-3.2,0)",
"G=Polygon[A,B,C,D,E,F]",
"H=Line[A,D]",
"I=Surface[
G,
pi,
H
]"
}]
Execute[{
"A=(0,0)","B=(3.2,0)","C=(3.2,8)","D=(0,11)","E=(-3.2,8)","F=(-3.2,0)",
"G=Polygon[A,B,C,D,E,F]","H=Line[A,D]","I=Surface[G,pi,H]"
}]
Execute[{
"Surface[((3.2-r)*cos(u),(3.2-r)*sin(u),8+r),u,0,2π,r,0,3.2]",
"Surface[(3.2*cos(u),3.2*sin(u),h),u,0,2π,h,0,8]",
"Surface[(r*cos(u),r*sin(u),0),u,0,2π,r,0,3.2]"
}]
maine geogebra
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