Dynamic Text in Manipulate.

• To: mathgroup at smc.vnet.net
• Subject: [mg112027] Dynamic Text in Manipulate.
• From: Matthias Bode <lvsaba at hotmail.com>
• Date: Wed, 25 Aug 2010 06:04:55 -0400 (EDT)

```Hola:

The code below shifts a triangle with Manipulate[]. I want the coordinates
of the corners A{x;y}, B{x;y}, C{x;y} inside the {;} to change
with the shift.

Rather than my pedestrian dissecting method

Text["A {", {2 - u, 7/5 - u*(4/5)}],
Text[Dynamic[2 - u, u], {2.2 - u, 7/5 - u*(4/5)}],
Text[";", {2.32 - u, 7/5 - u*(4/5)}],
Text[Dynamic[8/5 - u*(4/5), u], {2.45 - u, 7/5 - u*(4/5)}],
Text["}", {2.6 - u, 7/5 - u*(4/5)}],

in five steps I would like to represent "A{x;y}" in ONE command Text[].

How can this be done?

Best regards,

MATTHIAS BODE
S 17.35775=B0, W 066.14577=B0

gra01 = Plot[x, {x, 0, 5}, AspectRatio -> 1,
PlotRange -> {{-0.5, 5.1}, {-0.5, 5}},
AxesLabel -> {x, y},
GridLines -> {{1, 2, 13/5, 4, 23/5}, {4/5, 8/5, 11/5, 16/5, 23/5}},
PlotStyle -> Directive[White]];
Manipulate[Show[{gra01, Graphics[{Directive[PointSize[0.02]],

Point[{{2 - u, 8/5 - u*(4/5)}, {4 - u,
11/5 - u*(7/10)}, {23/5 - u, 23/5 - u*(7/10)}}],
Directive[Thick],
Line[{{2 - u, 8/5 - u*(4/5)}, {4 - u, 11/5 - u*(7/10)},
{23/5 - u, 23/5 - u*(7/10)}, {2 - u,
8/5 - u*(4/5)}}], Directive[Dashed, Thin, Red],

Line[{{2, 8/5}, {23/5, 8/5}, {23/5, 23/5}, {2, 23/5}, {2, 8/5}}],
Line[{{4, 8/5}, {4, 11/5}}],
Line[{{23/5, 11/5}, {4, 11/5}}],
Directive[FontWeight -> Bold, FontSize -> 13, Black],
Text["A {", {2 - u, 7/5 - u*(4/5)}],
Text[Dynamic[2 - u, u], {2.2 - u, 7/5 - u*(4/5)}],
Text[";", {2.32 - u, 7/5 - u*(4/5)}],

Text[Dynamic[8/5 - u*(4/5), u], {2.45 - u, 7/5 - u*(4/5)}],
Text["}", {2.6 - u, 7/5 - u*(4/5)}],
Text["B {4; 11/5}", {4, 9/5}],
Text["C {23/5; 23/5}", {22/5, 24/5}]}]}], {u, 0, 2,
1/10}]

```

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