EUKLID 2.5OMSAndreas Briegel, Staatl. Realschule Lindau www.briegel-online.de - Februar 2004  AniSourcer\.@r\.X%?|TGOriginO0-7,=?OYalm|QuantTGAxisxa|x0H}DH}D@?TGAxisya|y0H}D@H}D TGaugePointX_1?Quant TGaugePointY_1?QuantTGPointA2   9iD@p:m?QQuantTGPointB2    `$I@0{G@x,Œ_QuantTGPointC2!   (+tb$@(t@?QQuant TGShortLine s12@!Cp:m?Q0{G@x,Œ_ TGShortLine s22@!C0{G@x,Œ_(t@?Q TGShortLine s32@!C(t@?Qp:m?Q TGPolygon N12TU0TGAreaF_12 \BM\:(" TGPointZ2' w@ 贁NQQuantTGCirclek10x|S? 贁NQp:m?QTC̮@TGPointA'2$E#[@@~10 ͿQuantXuvu1?TGAnglea12@!Cp:m?Q 贁NQ@~10 Ϳ2Ȟ?̥J@@ TGAngleWidth w(P1;P4;P5)2@!C` t@b/G Ariala@@ TGRotatedPtP60(?8~10 ͿQuantTGArcb12x(@ 贁NQp:m?QTC̮@8~10 Ϳ2Ȟ?̥J@ TGRotatedPtB'2"O@X4%QuantTGArcb22t`@ 贁NQ0{G@x,Œ_ x@X4%0E`?pm0L@ TGRotatedPtC'2#r g@;Qͮx{QuantTGArcb324@ 贁NQ(t@?Q0>l亙@;Qͮx{?^B#@ TGShortLines42@!C8~10 ͿX4% TGShortLines52@!CX4%;Qͮx{ TGShortLines62@!C;Qͮx{8~10 Ϳ TGPolygonN22uLTGAreaF_22\BM\:(" TGNamedummy12@!Cףp= ?أp= W  Arial{\rtf1\ansi\ansicpg1252\deff0\deflang1031{\fonttbl{\f0\fnil\fcharset0 Arial;}{\f1\fnil Arial;}} {\colortbl ;\red0\green128\blue0;} \viewkind4\uc1\pard\cf1\fs26 A\f1 \par } @TGName dummy22@!C[]P贁μ@Q  Arial{\rtf1\ansi\ansicpg1252\deff0\deflang1031{\fonttbl{\f0\fnil\fcharset0 Arial;}} {\colortbl ;\red0\green128\blue0;} \viewkind4\uc1\pard\cf1\fs26 B \par } @@TGName!dummy32@!C t@?Gz  Arial{\rtf1\ansi\ansicpg1252\deff0\deflang1031{\fonttbl{\f0\fnil\fcharset0 Arial;}{\f1\fnil Arial;}} {\colortbl ;\red0\green128\blue0;} \viewkind4\uc1\pard\cf1\fs26 C\f1 \par } TGName"dummy42@!Ca6 贁NzG Arial{\rtf1\ansi\ansicpg1252\deff0\deflang1031{\fonttbl{\f0\fnil\fcharset0 Arial;}{\f1\fnil Arial;}} {\colortbl ;\red0\green0\blue255;} \viewkind4\uc1\pard\cf1\fs26 B'\f1 \par } TGName#dummy52@!C t@(X% Arial{\rtf1\ansi\ansicpg1252\deff0\deflang1031{\fonttbl{\f0\fnil\fcharset0 Arial;}{\f1\fnil Arial;}} {\colortbl ;\red0\green0\blue255;} \viewkind4\uc1\pard\cf1\fs26 C'\f1 \par } @TGName$dummy62@!Cwwww Arial{\rtf1\ansi\ansicpg1252\deff0\deflang1031{\fonttbl{\f0\fnil\fcharset0 Arial;}{\f1\fnil Arial;}} {\colortbl ;\red0\green0\blue255;} \viewkind4\uc1\pard\cf1\fs26 A'\f1 \par } @ TGComment%dummy72@!C(":mb Arial{\rtf1\ansi\ansicpg1252\deff0\deflang1031{\fonttbl{\f0\fnil\fcharset0 Arial;}{\f1\fnil Arial;}} {\colortbl ;\red0\green0\blue255;} \viewkind4\uc1\pard\cf1\fs22 Am Zugpunkt A' kann der Drehwinkel ver\'e4ndert werden\f1 \par }  TGComment&dummy82@!C  XQ@ Arial {\rtf1\ansi\ansicpg1252\deff0\deflang1031{\fonttbl{\f0\fnil\fcharset0 Arial;}{\f1\fnil Arial;}} \viewkind4\uc1\pard\b\fs24 Drehung als Doppelachsenspiegelung\b0\fs22 \par \par Die Drehung von Dreieck ABC auf A'B'C' kann durch eine doppelte Achsenspiegelung ersetzt werden. \par Versuche mit den verf\'fcgbaren Befehlen die beiden Achsen zu konstruieren. \par \par Wenn du beide Spiegelachsen gefunden hast, dann bestimme den Winkel zwischen den Achsen. Vergleiche mit dem Drehwinkel!\f1\fs26 \par } TGName'dummy92@!Cd(\%Xr  Arial{\rtf1\ansi\ansicpg1252\deff0\deflang1031{\fonttbl{\f0\fnil\fcharset0 Arial;}{\f1\fnil Arial;}} {\colortbl ;\red0\green0\blue0;} \viewkind4\uc1\pard\cf1\fs26 Z\f1 \par } @@TGXPoint,P125.0-7=STX18*@@@Quant6 @4 @TGXPoint-P22,.01̰P@@@Quant x(P1) + 2  ? @ @y(P1) ? @ TGShortLine.s72,-/3@!C@@@@TGPoint/P32.3<X18*@@@Quant TGMiddlePt0P40,-1@@Quant TGHalfLine1h100-4@@H*/v@@TGSenkr3g10/.4@H}D@H}D@TGLxLPt4P5138@C-?@@QuantTGName5dummy140,Z<(\@x@ t@ Arial{\rtf1\ansi\ansicpg1252\deff0\deflang1031{\fonttbl{\f0\fnil\fcharset0 Arial;}{\f1\fnil Arial;}} {\colortbl ;\red192\green192\blue192;} \viewkind4\uc1\pard\cf1\fs26 P1\f1 \par } @TGXPoint7P70,89>#K5?@@Quant x(P1) + 3  ? @ @y(P1) ? @ TGLongLine8g2479:hk@`Lřԧ@@TGSenkr9g378:x@ Tipp1\fs22 \par } TGXPoint=P90,>?@Ab/?@@Quantx(P1) ? @ y(P1) - 1,5  ? @ ?TGName>dummy160=@!C]u@@ Arial{\rtf1\ansi\ansicpg1252\deff0\deflang1031{\fonttbl{\f0\fnil\fcharset0 Arial;}{\f1\fnil Arial;}} {\colortbl ;\red192\green192\blue192;} \viewkind4\uc1\pard\cf1\fs26 P9\f1 \par } @TGXPoint?P100=CDpJwr?@@Quant x(P9) + 2  ? @ @y(P9) ? @ TGLongLine@g44=ABhc@G[@0YG[TGSenkrAg5=@BG[8~@@@TGLxLPtBP11@ANFHOSfg(i@@(@Quant TGLongLineCg64?DE>Ѡ_@H > ]@AOTGSenkrDg7?CEAO8`]Ζ@@TGLxLPtEP12CDFHI8؝%d?@`@Quant TGShortLineFs8BEGK@!C@(@@`@TGPointGP13FKM(i@@(@Quant TGMiddlePtHP14BEI@@@Quant TGHalfLineIh2HEL@@@H*/v@(@TGSenkrKg8GFL@H}D@H}D@TGLxLPtLP15IKPU{I?@@Quant TGCommentMdummy17G@!C^S`%X@N贁@3 Arial{\rtf1\ansi\ansicpg1252\deff0\deflang1031{\fonttbl{\f0\fnil\fcharset0 Arial;}{\f1\fnil Arial;}} \viewkind4\uc1\pard\fs20 --> Tipp2\f1\fs26 \par } TGNameNdummy18BKv(\B@@ ףp=@ Arial{\rtf1\ansi\ansicpg1252\deff0\deflang1031{\fonttbl{\f0\fnil\fcharset0 Arial;}{\f1\fnil Arial;}} {\colortbl ;\red192\green192\blue192;} \viewkind4\uc1\pard\cf1\fs26 P11\f1 \par } @TGXPointOP16BPQC?@(@Quant x(P11) + 3  ? @ @y(P11) ? @ TGLongLinePg9LOQR˽f\8@V=02@@TGSenkrQg10OPRp@H}D@(@TGLxLPtRP17PQ)0è?@@Quant TGComment)dummy11R@!Cci6P@p6i@  Arial{\rtf1\ansi\ansicpg1252\deff0\deflang1031{\fonttbl{\f0\fnil\fcharset0 Arial;}{\f1\fnil Arial;}} \viewkind4\uc1\pard\fs20 Beginne mit einer Spiegelachse, die durch \par Z verl\'e4uft und f\'fchre die Spiegelung durch.\f1\fs26 \par }  TGMirrorPtSP18,BTUV`~Vc?@?Quant TGShortLineTs9,SN?@@@? TGLongLineUg11LSVWZF}DR@@p,TGSenkrVg12SUWhsmΨ@@?TGLxLPtWP19UVXYZ\af ֽ@@?QuantTGNameXdummy19Wf Q@ƒ_,? Arial{\rtf1\ansi\ansicpg1252\deff0\deflang1031{\fonttbl{\f0\fnil\fcharset0 Arial;}{\f1\fnil Arial;}} {\colortbl ;\red192\green192\blue192;} \viewkind4\uc1\pard\cf1\fs26 P19\f1 \par } @@TGXPointYP20WZ\]hIV?@?Quant x(P19) + 2  ? @ @y(P19) ? @ TGShortLineZs10WY[_@!C@?@?TGPoint[P21Z_e ֽ@@?Quant TGMiddlePt\P22WY] @?Quant TGHalfLine]h3\Y` @?P*/v@?TGSenkr_g13[Z`@H}D@8}D@TGLxLPt`P23]_bh|z?@?QuantTGXPointaP24Wbccٽmɬ?@?Quant x(P19) + 3  ? @ @y(P19) ? @ TGLongLinebg14`acd˽f\?V=02@?TGSenkrcg15abd@H}D@?TGLxLPtdP25bc*cٽmɬ?@?Quant TGComment*dummy12d@!Cc/@hfffff? Arial{\rtf1\ansi\ansicpg1252\deff0\deflang1031{\fonttbl{\f0\fnil\fcharset0 Arial;}{\f1\fnil Arial;}} \viewkind4\uc1\pard\fs20 Es gibt eine Spiegelachse, die das neue \par Bilddreieck auf das Dreieck A'B'C' abbildet.\f1\fs26 \par }  TGCommentedummy20[@!C_K~1@ƒ_,?3 Arial{\rtf1\ansi\ansicpg1252\deff0\deflang1031{\fonttbl{\f0\fnil\fcharset0 Arial;}{\f1\fnil Arial;}} \viewkind4\uc1\pard\fs20 --> Tipp3\f1\fs26 \par }  TGMirrorPtfP26BWghi`u-?0@Quant TGShortLinegs11Bfi6?@(@0@ TGLongLinehg16`fijZF}DR@@,TGSenkrig17fhj`smΜ@0@TGLxLPtjP27hiklmnp+/@@QuantTGNamekdummy21jf Q@ 贁N Arial{\rtf1\ansi\ansicpg1252\deff0\deflang1031{\fonttbl{\f0\fnil\fcharset0 Arial;}{\f1\fnil Arial;}} {\colortbl ;\red192\green192\blue192;} \viewkind4\uc1\pard\cf1\fs26 P27\f1 \par } @@TGXPointlP28juv k ?@Quant x(P27) + 3  ? @ @y(P27) ? @TGXPointmP29jnpq8{&?@Quant x(P27) + 2  ? @ @y(P27) ? @ TGShortLinens12jmos@!C@@TGPointoP30nsx+/@@Quant TGMiddlePtpP31jmq@Quant TGHalfLineqh4pmt@H*/v@TGSenkrsg18ont@H}D@H}D@TGLxLPttP32qsu0i [?@pQuant TGLongLineug19tlvw 00PX@`TGSenkrvg20luw@@}D@TGLxLPtwP33uv+"^Ҧ?@Quant TGComment+dummy13w@!CXUUUU@833333  Arial{\rtf1\ansi\ansicpg1252\deff0\deflang1031{\fonttbl{\f0\fnil\fcharset0 Arial;}{\f1\fnil Arial;}} \viewkind4\uc1\pard\fs20 Konstruiere die Mittelsenkrechte, die den \par Spiegelpunkt von A auf A' abbildet.\f1\fs26 \par }  TGCommentxdummy22o@!C`ףp= @X%?3 Arial{\rtf1\ansi\ansicpg1252\deff0\deflang1031{\fonttbl{\f0\fnil\fcharset0 Arial;}{\f1\fnil Arial;}} \viewkind4\uc1\pard\fs20 --> Tipp4\f1\fs26 \par } ? 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