ࡱ> a^_`B ( `/ 0DArial00LLtԖׯ0ԖDSymbol00LLtԖׯ0Ԗ@ .  @n?" dd@  @@``  C"~#)(*'),&4=%O'9(#+,-.0E12I34$5607:T;>4?F 0AA qo^Qu##@*Aʚ;o;ʚ;g4JdJdTׯ0ppp@ <4ddddvS0L|t #<4BdBdT0Lg43d3dׯ0p@ pp<4!d!dvS0L|t80___PPT10 pp?  %O  =0SISTEMA DIDRICO6 FPosiciones relativas entre rectas y planos. Interseccin y ParalelismoGPGF . , 0  2 6 ;!%/4'()*-/14 8 =   0` 33` Sf3f` 33g` f` www3PP` ZXdbmo` \ғ3y`Ӣ` 3f3ff` 3f3FKf` hk]wwwfܹ` ff>>\`Y{ff` R>&- {p_/̴>?" dd@,|?" dd@   " @ ` n?" dd@   @@``PR    @ ` ` p>>N0 (    6  `}  _+Haga clic para cambiar el estilo de ttulo , ,/  0Ô  `  kHaga clic para modificar el estilo de texto del patrn Segundo nivel Tercer nivel Cuarto nivel Quinto nivel7    l  0ʔ ^ `  >*  0Д ^   @*  0Ք ^ `  @*B  s *޽h ? 3380___PPT10.0V *Diseo predeterminado30 PC(    0Т P    X*   0t     Z* d  c $ ?  /  0  0  kHaga clic para modificar el estilo de texto del patrn Segundo nivel Tercer nivel Cuarto nivel Quinto nivel7    l  6 _P   X*   6H _   Z* H  0޽h ? 3380___PPT10.t0N0 p0(  x  c $u>  x  c $hv1@   H  0޽h ? 33___PPT10i.z8+D=' E= @B + 0N0  6H(  :F dZ   T    BQCg DEFfg PQQg @`S" dZ    Bg CQDEFfQg QQQ @`S" dp   00f (LB  c $DLB  c $DSLB @ c $D,  04  BRectas Paralelas 2  <8v6 2PV  <=& 2PH  <lA  2PH  <HE 2PV  <$I(   XHs    <M S  >s2    <\S XVr    <dX}G= As$   <|Vp i0  >s1  RB @ s *D}Ԕ RB  s *D}Ԕc  dB @ <D1c   <bo /  >s1  RB @ s *D}Ԕ   <gatH! >s2  RB @ s *D}Ԕ#dB  <D1 RB D s *DuԔ( u   <xm_ XVs  RB C@ s *DuԔk    <s P  XHs  2 ! 6y   (2 " 6} (RB B s *D##Ԕ u dB '@ <D1( dB (@ <D1 ku  . <<5a >r2   / <Tn XVr   0 <( e  >r1   1 <x [88 XHr  dB 5@ <D1#  < <0% Ar$  = <``  >r2   > <Z   >r1   A 0`i= o=Rectas paralelas tienen sus proyecciones homnimas paralelas.>>dB @ <D1   E <\Q u R   XHr  RB  s *D Ԕ 2 & 6P (2 % 6   ( F <Ķl XVs  RB G@ s *DuԔRB H@ s *DuԔw dB + <D1w dB ,@ <D1H  0޽h ? 33___PPT10i.z@+D=' E= @B +-0N0 % %@A}0 $(  :F dZ   T    BQCg DEFfg PQQg @`S" dZ    Bg CQDEFfQg QQQ @`S" dp   0pf (LB  c $DLB  c $DSLB @ c $D,   0  HInterseccin de rectas 2   <V 2PV   <x& 2PH   <X&Zj 2PH   <L 2PV  <,(   XHs    < S  >s2    < XVs    <h<} As$   < >q  >s1  RB 2@ s *D}Ԕ RB 3 s *D}Ԕc  dB -@ <D1c dB ,@ <D1    B<0   >s1  XB 7@ 0D}ԔQ(  5 BY >s2  XB 6@ 0D}ԔQdB 4 <D1(  = <g XVs   > <L z  XHs  RB Y s *DuԔ  7RB % s *D Ԕ 2 O 6X$ z>  (2 V 6(   (2 W 6+ (RB Z s *DuԔw RB X s *DԔw 2 ] 640~ &  (2 ^ 63`( (dB _@ <D1u7dB `@ <D1  RB d s *DuԔ#~RB e s *DuԔ dB c <D1 dB b@ <D1#B h <D1 ,$D 0 i <8r3F >r2   j <|:c*# XVr   k <xC k,{  >r1   l <?w h7 XHr   m <F  AP$  o <XQg >P2   p <(W sm  >P1  dB @ <D1NT l  E  vo E{ ,$D 0lB rB <D1 3 ZB s s *D  `B t 0D1 E fB u 6D13 > 2 a 6s] M  ( x <`|  <  Ar$  y <e0r  >r2   z <@jp j+ 0  >r1  2 { 6|p (2 | 6s   ( } 0v} aLas intersecciones de las proyecciones corresponden a las proyecciones del punto de interseccin.bbH  0޽h ? 33z___PPT10Z.z@+/D.' E= @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(DC' =4@BBB B%(D' =1:Bvisible*o3>+B#style.visibility<*v%(D' =-6B#strips(downLeft)*<3<*vD%' =%(D' =%(Du' =4@BBBB%()))D' =1:Bvisible*o3>+B#style.visibility<*h%(D' =-6B%strips(downRight)*<3<*h+30N0   8D! (  :F dZ   tT    BQCg DEFfg PQQg @`S" dZ    Bg CQDEFfQg QQQ @`S" dp   0f (LB  c $DLB  c $DSLB @ c $D,  0l  FRectas que se Cruzan 2  <D 2PV  < 2PH  <tZj 2PH  < 2PV  <T   XHs    <dZ.r >s2    < XVs    <<k As$   < >_  >s1  RB @ s *D}Ԕ RB  s *D}ԔQ  dB @ <D1Q dB @ <D1    <dl@  >s1  RB @ s *D}ԔQ   <|G >s2  RB @ s *D}ԔQdB  <D1   <g XVs    <0 z  XHs  RB  s *DuԔ  %RB #@ s *DuԔ Q dB (@ <D1  RB  s *D  2  6 z,  (2 ! 6x   (2 " 6 ( D HB@v2 @S" ? i RB $ s *D  Q 2 % 6l &  (dB '@ <D1Q %RB ) s *DuԔ~RB * s *DuԔ dB + <D1 dB ,@ <D1B - 6D1 ,$@ 0 . <,CG >r2   / <0 XVr   0 < k,i  >r1   1 <Xe h% XHr  dB 5@ <D1NT < < A  Ar$  = <p   >r2   > < ^ j+   >r1  B ? 6D1I88,$D 0% @ 0},$0 _Las intersecciones de las proyecciones se corresponden con las proyecciones de un punto.`` C < ,$0 8NOH  0޽h ? 33___PPT10.z@+W D' = @B D' = @BA?%,( < +O%,( < +D' =%(DJ' =%(Dw' =4@BBBB%()?)))D' =1:Bvisible*o3>+B#style.visibility<*-%(D' =-s6Bwipe(down)*<3<*-Ds' =4@BBBB%())))?D' =1:Bvisible*o3>+B#style.visibility<*?%(D' =-o6Bwipe(up)*<3<*?DP' =%(Dx' =A@BB BB0B%())))?D' =1:Bvisible*o3>+B#style.visibility<*C%(D' =-g6B fade*<3<*CDx' =A@BB BB0B%())))?D' =1:Bvisible*o3>+B#style.visibility<*@%(D' =-g6B fade*<3<*@D' =%(D' =4@BB#BB%()D)' =+4 8?^CBhiddenBCBvisibleB*o3>+B#style.visibility<*?D' =4@BB#BB%()D)' =+4 8?^CBhiddenBCBvisibleB*o3>+B#style.visibility<*-D' =A@BB#BB0B%()D)' =+4 8?^CBhiddenBCBvisibleB*o3>+B#style.visibility<*C++0+@0 ++0+C0 ++0+C0 ++0N0 @##(  F dZ   kT   BQCg DEFfg PQQg @`S" dZ   Bg CQDEFfQg QQQ @`S" dp   0@  BPlanos Paralelos 2  <xT^ 2PV  <T Zj 2PH  <  @ha"   <y @va" 6   BW C DEF]Qq}]Qd@ {W @"B   ![ RB  s *D o { c RB  s *D o+b   0f (LB  c $DLB  c $DSLB @ c $D,  <`  2PH  < 2PV  <$ }  @ha"   <|_k @va" RB  s *D oRB  s *D o ~l Q{  #Q{ ,$D 0>   BW C DEF##q}##d@ {W @"B   $Q{ ZB  s *D##ob ZB  s *D##o?   <3  3a  <D } ,$ 0 Zhb"   <gk,$0 Zvb" B  s *D##o,$D 0B  s *D##o ,$D 0  <  ,$0 Zhb"  ! <Q,$0 Zvb"  " 0Xi= i7Planos paralelos tienen sus trazas homnimas paralelas.88  <E [ ,,$0 3bH  0޽h ? 33@8___PPT10.z@+ uD' E= @B D' = @BA?%,( < +O%,( < +D ' =%(D' =%(D7' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*#%(D' =-s6Bwipe(left)*<3<*#D' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*!%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =%(D' =%(D7' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-s6Bwipe(down)*<3<*D' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =%(D' =%(D3' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-o6Bwipe(up)*<3<*D' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(++0+0 ++0+0 ++0+ 0 ++0+!0 ++0+0 +@0N0 % %P9N $(  ^8 Q N YI   B-CDEFfA- @`S"  &@ Q MQ`   0f p   BC#DEFd@ԔN# @`"`    WS p   BC DEF  d@ ԔY Y  @`"`    pPL D  # BCDEF" 1h8@`"`    Q}   B CDEF"d@1 PP@`"`    u`B  0DԔp`B  0DԔS V `B B 0D ԔS `B  0D ԔWp`B  0DԔxL 2  <1` (2  <59 k  ( 3 <8: 2PH 4 <2*^ 2PV 5 <;z vD  @ha"  6 0>-^ @va"  7 0H^ Zvb"  8 <Lgv-  Zhb"  < <B  > 3a = 0V}2 3b ? <Z F XVr   C <XJf   XHr  |l  <8  D< 8 ,$D0 " 0df <8  (TB # c $D ::TB $ c $D ggTB %B c $D,gg & <g F   2PH ' <lj* 2PVl <0  E<0 ,$D 0 ( <ogM F  @ha"  ) 0u D @va" ZB * s *DԔ<:ZB + s *DԔ:0  . 0yS@ : w#Interseccin de dos planos oblcuos$ 2$z <)  L <) ,$D 0`B , 0D Ԕ<>`B -B 0D Ԕ2)  9 68fSj,* Zvb"  : B܂cF =  Zhb" l 2 J2,$D  0ZB 1 s *DԔV2 > < >r2  l ;8\  K8;\ ,$D  0ZB 2 s *DԔ8\  @ <; >r1  B /@ <D1B,$@ 0B 0@ <D12VW ,$D 0pl    I ,$D0 A <ܓ   XHr   B <ș  XVr  2 ; Bh1t (2 H BԢ1@ n'  (H  0޽h ? 33{s___PPT10S.B 8+BُD'' = @B D' = @BA?%,( < +O%,( < +D<' =%(D' =%(D)' =4@BBBB%()?)?D}' =.E7 BBBBBWM 1.94444E-6 3.7037E-7 L -0.12986 0.08588 *3>*B ppt_xB ppt_y=@0BBAApBBPBLh/=<*ND[' =4@BB BB%()))D' =1:Bvisible*o3>+B#style.visibility<*D%(D' =-g6B fade*<3<*DD)' =%(D' =%(Dy' =4@BBB*B%()))D' =1:Bvisible*o3>+B#style.visibility<*E%(D' =-6B)barn(outHorizontal)*<3<*ED)' =%(D' =%(Dy' =4@BBB*B%()))D' =1:Bvisible*o3>+B#style.visibility<*L%(D' =-6B)barn(outHorizontal)*<3<*LD' =%(D' =%(D+' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*I%(D' =-g6B fade*<3<*ID<' =%(D' =%(DC' =4@BBB B%(D' =1:Bvisible*o3>+B#style.visibility<*/%(D' =-6B#strips(downLeft)*<3<*/DA' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*0%(D' =-}6B!strips(upRight)*<3<*0D%' =%(D' =%(Du' =4@BBBB%()))D' =1:Bvisible*o3>+B#style.visibility<*J%(D' =-6B%strips(downRight)*<3<*JD' =%(D' =%(Do' =4@BBB B%()))D' =1:Bvisible*o3>+B#style.visibility<*K%(D' =-{6Bstrips(upLeft)*<3<*K+@ 0N0 @8`-/(  F dZ   T   BQCg DEFfg PQQg @`S" dZ   Bg CQDEFfQg QQQ @`S" dp   0fZ (LB  c $DppLB  c $DSLB @ c $D,  0S@  c1Interseccin de Plano Oblicuo y Plano Horizontal.2 22  <T^P  2PV  <p 2PH  <pZj 2PH  <z: 2PV  <   @ha"   <,N " @va" RB  s *D o pRB  s *D op 9 RB  s *D oRB  s *D os ~   <  @ha"   < @va" @  C B CDEF##Ha]Q\##g   @`"`     X  rBaC\DEF##o\a@S" J$ T   B Cd DEF]Q]Qd@d $  @"Z   ?x  <ldc8  Zvb"    B CrDEF"##Q##d@##g l rl@`C"x    ?L 0 B  s *DԔ ],$D 0  <Hl / / 3b  < A  3aRB  s *D##o  <f,$0 XVr  B $ s *Dopoq ,$D  0B #@ <D1qtt,$D  0B ) s *Do s ,$D 02 ! 6|^,$D0 ( " <gv"N,$0 1r % <x -Y ,$ 0 >r1   & < rB,$ 0 >r2   ' <}a Zvb" l :N -N:,$D 0TB * c $D:NNTB + c $D:nnTB , c $D:2 . 6TH#u,$@0 ( / <4S9T,$0 XVr  H  0޽h ? 33C";"___PPT10".z@+0Dg ' E= @B D" ' = @BA?%,( < +O%,( < +D ' =%(D' =%(D9' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-u6Bwipe(right)*<3<*D' =%(D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*.%(D' =-g6B fade*<3<*.D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*/%(D' =-g6B fade*<3<*/D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*"%(D' =-g6B fade*<3<*"D(' =%(D' =%(D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =-g6B fade*<3<* D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*!%(D' =-g6B fade*<3<*!D' =%(D' =%(D7' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*)%(D' =-s6Bwipe(left)*<3<*)D' =%(D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*&%(D' =-g6B fade*<3<*&D+' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*-%(D' =-g6B fade*<3<*-D' =%(D' =%(D3' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*#%(D' =-o6Bwipe(up)*<3<*#D{' =%(D' =%(D3' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*$%(D' =-o6Bwipe(up)*<3<*$D' =%(D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%%(D' =-g6B fade*<3<*%++0+ 0 ++0+!0 ++0+"0 ++0+%0 ++0+&0 ++0+.0 ++0+/0 +> 0N0 I A 1S(  F dZ   T   BQCg DEFfg PQQg @`S" dZ   Bg CQDEFfQg QQQ @`S" dp X   BqC DEF##ff##3d@Aqq8  @`"Z   ?FR P   09fZ (LB  c $DppLB  c $DSLB @ c $D,  0=S@  p>Interseccin de dos Planos Perpendiculares al Plano Horizontal? 2?  <AZBL  2PV  <4G 2PH  <K 7 G  2PH  <Iz: 2PV  <H   Zhb"   <W) Zvb" RB  s *D##o_  pRB  s *D##op   <\ \  Zhb"   <hb|P Zvb"   <cZ K A 3bXB $@ 0LD##oz @ P ^B  6LDo > r   BC DEF3d@  L @C"x    ? D XB  0LDo ( X   B-CDEF##q}##d@A'-, @`"Z   ?$B  6LDo#Z ,$D 0XB " 0LD##oXB #@ 0LD##oP  % <n|K  3a & <8r "  @ha"  ' <w`4 @va" 2 ( 6|@ m ,$@0 ( B <L q ,$0 XHs   D <  ,$0 1sRB E s *Do_pRB F@ s *DopSL  G < m  @ha"  H <@) @va"  I <܆S  ,$0 XHs  B L 0LDo)p,$D  0B K@ <D1p ,$D  02 J 6  ,$@0 ( N <5o,$ 0 >s2   O <M ~ ,$ 0 >s2  z :N P  b ,$@0TB Q c $D:NNTB R c $D:nnTB S c $D:H  0޽h ? 33/'___PPT10.z@+͏DS' E= @B D' = @BA?%,( < +O%,( < +D+ ' =%(D' =%(D3' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-o6Bwipe(up)*<3<*D@' =%(Dh' =A@BB BB0B%()))D' =1:Bvisible*o3>+B#style.visibility<*D%(D' =-g6B fade*<3<*DD8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*(%(D' =-g6B fade*<3<*(D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*B%(D' =-g6B fade*<3<*BD ' =%(DC ' =%(D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*J%(D' =-g6B fade*<3<*JD8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*I%(D' =-g6B fade*<3<*ID+' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*P%(D' =-g6B fade*<3<*PD8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*O%(D' =-g6B fade*<3<*ODo' =%(D' =%(D7' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*K%(D' =-s6Bwipe(down)*<3<*KD' =%(D7' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*L%(D' =-s6Bwipe(down)*<3<*LD' =%( D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*N%(++0+(0 ++0+B0 ++0+D0 ++0+I0 ++0+J0 ++0+N0 ++0+O0 +? 0N0 13(  F dZ   T   BQCg DEFfg PQQg @`S" dZ   Bg CQDEFfQg QQQ @`S" dp   0DfZ (LB  c $DppLB  c $DSLB @ c $D,  0@ r j8Interseccin de Plano Paralelo al P.H. y Plano de Perfil9 29  <TT^P  2PV  <" 2PH  <(!Zj 2PH  <lz: 2PV  <.S? @va" RB  s *D o  <2  3aRB  s *D oT   <7|G3P @va"   N####d g S" ?P 0 RB  s *D##oP     Bg CPDEF]QHa]Q\d@ g PQg PP @`C"x    ?T  RB  s *D##o 0   < < jU  Zhb"   <A!^B Zvb"   <8C nY Zhb"   <0LmtXA Zvb" RB  s *D##ottpRB  s *D##optt  N##^##d g S" ?0 S RB  s *D##oS B  s *DԔP 0 P ,$D 0  <`R   3bB # s *DԔptt,$D  0 $ <$WIF) ,$0 XVs   & <T\~,$ 0 >s1  z :N ' Rb,$@ 0TB ( c $D:NNTB ) c $D:nnTB * c $D: + <,aI@ ,$ 0 >s2  z :N , d,$@0TB - c $D:NNTB . c $D:nnTB / c $D:B 0@ <D1rrn,$D  02 %@ 6hV,$@0 ( 1 <WH/ ,$0 1s2 2 6LW; ,h ,$@0 ( 3 <WS6A ,$0 XVs  H  0޽h ? 33/!'!___PPT10!.z@+.6DS' E= @B D' = @BA?%,( < +O%,( < +D ' =%(D' =%(D9' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-u6Bwipe(right)*<3<*D' =%(D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*1%(D' =-g6B fade*<3<*1D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*2%(D' =-g6B fade*<3<*2D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*3%(D' =-g6B fade*<3<*3D ' =%(D' =%(D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%%(D' =-g6B fade*<3<*%D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*$%(D' =-g6B fade*<3<*$D' =%(D+' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*,%(D' =-g6B fade*<3<*,D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*+%(D' =-g6B fade*<3<*+DA ' =%(D' =%(D3' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*0%(D' =-o6Bwipe(up)*<3<*0D' =%(D3' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*#%(D' =-o6Bwipe(up)*<3<*#D' =%(D+' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*'%(D' =-g6B fade*<3<*'D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*&%(D' =-g6B fade*<3<*&++0+$0 ++0+&0 ++0++0 ++0+%0 ++0+10 ++0+20 ++0+30 +B*0N0 =5p8(    Bm C DEFA m m  @`S" 8,$@0RB  s *D##>& &   BCDEFAZ @`S" J   Bd C DEFAd Rd  @`S" 8 ,$@0B  s *D >/ ,$D 0RB  s *D##>& & 2  Bv @" A ^ ,$D 0 * < 3a + <D`G,$0 3b , <& ~ 1r - <L z a ,$0 1s . <l @p,$ 0 1P: / THa)d @" ; | TInterseccin de recta y plano. (Explicacin previa a su representacin en didrico).U 2UJ 6 0\t$0@8___PPT9 n Hallamos la interseccin de  a y  b , la recta  s .<8! kx.Vw 1 7 0+ C t$ 0@8___PPT9 , En la interseccin de las rectas  r y  s encontramos el punto  P , interseccin de  r y  a .*d!`kwIq$L 8 0L.9p$0<4___PPT9 ^ Hacemos pasar por la recta  r el plano  b .*0!,kx8`;H  0޽h ? 33___PPT10m.U+!D' E= @B D' = @BA?%,( < +O%,( < +D? ' =%(D' =%(D+' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-g6B fade*<3<*D+' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-g6B fade*<3<*D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*+%(D' =-g6B fade*<3<*+D' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*8%(D' =%(D' =%(DE' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =-6B%strips(downRight)*<3<* D' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*-%(D' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*6%(D' =%(D' =%(D+' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-g6B fade*<3<*D' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*.%(D' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*7%(+P+0++0 ++0+-0 ++0+.0 ++0+60 ++0+70 ++0+80 +P^0N0 i.a.FD  -(    B-CDEFf- @`S" s OX  0fOQ s   BRZ 2PH  BTX  2PV  B[Q 0  @ha"   6`v5 @va"   6^xg,$  0 Zvb"   Bh P,$ 0 Zhb"   Bnp|0,$0 XVr    B\t5,$0 XHr   ' 0|zS@ : OInterseccin de recta y plano 2RB :@ s *DgԔ-@w RB ; s *DgԔw -UB L@ <D##qe,$D 08l @ P  Ve,$@ 0ZB M s *DԔ@ @ . ZB NB s *DԔ7 @ P  Z B CDEFA    @`"6 ?S\ ,$@ 0 X B@C DEFA  @  @`"6 ?.nB U@ <D##Mq*,$D 0. Y BC DEF"A @`"6 ?e,$@ 0 G 0H / 3a  6, ,$0 3bB T@ TDԔ [e ,$D 0(l    ,$D0 \ Bh    XHs   ] B<  XVs  2 [ 6N,$D0 ( _ <Ԙy8,$0 3P ` B j 3a b 6f < 8  (RB c s *D : :RB d s *D g gRB e@ s *D g,g f B F   2PH g Bة j* 2PV i BԬ C"?M gF  @ha"  j 6 C"?D  @va" XB k 0DԔ <:XB l 0DԔ :0 l    ,$D0ZB  s *D8c::ZB B s *D8c:  q BHE   Zhb"   0 C"?# Zvb" zz      ,$D0`B sB 0DoF 2 wB B$   >r1  `B vB 0DԔ> A  t B 4  >r2   | B  XVr    B #  XHr  rB x BD1:rB yB BD1= ;>  l m0  i0 ,$D0rB B BD1 mAn`B  0Dons; { BqpZ0  XHs    B XVs  2 ~ H01C"?W (  BuIf >s2   B B`G >s1  `B  0Dom;sl  ,$D0  <48 >P1  lB B <D1PQ2 } H1: h9 (2  B1<j+ (  <dhW >P2  H  0޽h ? 33w/o/___PPT10O/.B 8+[D-' E= @B DV-' = @BA?%,( < +O%,( < +Dj ' =%(D' =%(D7' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*U%(D'  =-s6Bwipe(down)*<3<*UD)' =%( D' =A@BBBB0B%())))?D' =1:Bvisible*o3>+B#style.visibility<*[%(D)' =%( D' =A@BBBB0B%())))?D' =1:Bvisible*o3>+B#style.visibility<*_%(D' =%( D7' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*L%(D' =-s6Bwipe(down)*<3<*LD' =%(pD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =%(D' =%(D+' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-g6B fade*<3<*D' =%(D ' =%(D+' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*Z%(D' =-g6B fade*<3<*ZD+' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*Y%(D' =-g6B fade*<3<*YD+' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*V%(D' =-g6B fade*<3<*VDt' =A@BBBB0B%()))D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-s6Bwipe(down)*<3<*D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-g6B fade*<3<*D+' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-g6B fade*<3<*D' =%(D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-g6B fade*<3<*D' =%(D' =%(Dg' =4@BBBB%()))D' =1:Bvisible*o3>+B#style.visibility<*T%(D' =-s6Bwipe(down)*<3<*TD' =%(D+' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-g6B fade*<3<*D' =%(D' =%(D+' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-g6B fade*<3<*D' =%(D' =%(D+' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-g6B fade*<3<*++0+0 ++0+0 ++0+0 ++0+0 ++0+0 ++0+[0 ++0+_0 +0 H@`(  ^  S    :  c $~ 0   La interseccin de dos rectas es un punto. En la representacin en el sistema didrico las intersecciones de las proyecciones homnimas deben corresponder a las proyecciones de un punto.H  0޽h ? 3380___PPT10.z 0 (  X  C      S   0    H  0޽h ? 3380___PPT10.rF 0 (  X  C      S  0    H  0޽h ? 3380___PPT10.,B 0 (  X  C      S Ȳ 0    H  0޽h ? 3380___PPT10.,B0n  0 (  X  C      S N 0    H  0޽h ? 3380___PPT10.,B0n  0 H@(  ^  S    :  c $' 0   La interseccin de dos rectas es un punto. En la representacin en el sistema didrico las intersecciones de las proyecciones homnimas deben corresponder a las proyecciones de un punto.H  0޽h ? 3380___PPT10.z 0 H@0(  ^  S    :  c $ 0   La interseccin de dos rectas es un punto. En la representacin en el sistema didrico las intersecciones de las proyecciones homnimas deben corresponder a las proyecciones de un punto.H  0޽h ? 3380___PPT10.z 0 P((  ^  S      c $ ) 0    H  0޽h ? 3380___PPT10.r'{ 0 p((  ^  S      c $3 0    H  0޽h ? 3380___PPT10.r'{ 0 ((  ^  S      c $ 0    H  0޽h ? 3380___PPT10.rpz){0 ((  ^  S      c $ 0    H  0޽h ? 3380___PPT10.r+{Nx\ l}ߑb$ev\qLxѾ PCxafkoX]V&Ӈ0?3˒{Y3Pkv^jU!` OloK``G4 @a!a`1bKk^``M#::Q >$C \xm 8Li(p ><0|(EǁI;b,'-mg-9+ ٩匟!1\/ӏ}; ;(2_,TFR@VSd<.!9AKt] F:*!GGŒG?Y2r)U?#Ejѐ7+~$%-IRo̮zޕ:SB~E x{!C$’_=kll'Hz}cřDY&eyGNa5͟~f%jl}u+]A.0{|D쭟][V[v-+[we ,۬|u02'K|=izPt'P.R[Vuy*g@b,=;N  9; S DXY<9+*މWkإ_r,Pu^w41tiՋHZx'rGo]Y]H߸6^!k~h;M+;| bWіM7eæs㳺SV6ϤlomMjuJ@F6:i 4 M{ ޫ ?[Ȍk{cȠG聞a]BջӚϽV%:fFˀ2|W?Ieܶ ;XqEK!9>/zRg?RHdt/<ÇI#F5g33|ffXQ˧s%FT'ZnK)Xי%I5B;.{"bD$6=#sT7:7S*{ʺkWqFGtbO/>t U l(Vl|:Q0R,2Z6g5&y>[%:V_%M,fiOJ'AȌt>yDƦ0uaKKmre\u[|\ߍ=O>3qo$FL #1mߨ9\"ǵ؞ J<'SDs}ʞj^L U5zZoz=%;Y^SO|w{9O>Q'v-aP,HNq߮M'rG nG;Zf,E.'?H*xgOAX0Sox < TG}i(>F3C:/RӉ抉,5h]-bAlmj^&{6e?NKRY%/yCNF.qF {n-$[.bq7z³|s_ݴPOȫQA_Oz0tl%[}_aik"hp4__?v pVAgWCmǝy1PashYs-aV|(,gr>qYw~KΕR}NgJF@Sozx?zZu&8/fo:3\_:QOR 'f|ՅkFm{ɛz.Zur+c2ϯCUS;贇~LCkFyw񟐤K~UW}~oW z5E pPR +/zHհc@/@_@ + "GB3|#@5?O#ӈԩՈ4?ɿFiFiFi~?HKrG>7mۢ`ez(,̩h}%QKU"-:w份U5] (wא &m|]{Z{ZK P ; ggw6$lT;04rN۹dG췣jjy5fε/ǫr[es'۶Y!te׋. =,2.xxȮ_Tg($O?z\? zL~*fWgI3Qw"S4SZ$J̺ FHf<ܕ?(vILhtn0ꞁqqgb)'?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~      !"#$%&'()*+,-./0123456789:;<=>@ABCDEFGHIJKLMOPQRSTUWXYZ[\]bRoot EntrydO)Current UserVSummaryInformation(?xPowerPoint Document(}DocumentSummaryInformation8N