ࡱ> F( `/ 0DArial_> 00TTuܖx: 0ܖDSymbol_> 00TTuܖx: 0ܖ@ .  @n?" dd@  @@`` x.x#)(*'),&4=%O'9()#+,-./ 0AA gu##@*Yʚ;@9ʚ;g4ddddxx: 0ppp@ <4dddd  0Tu #<4BdBd  0Tg43d3dx: 0p@ pp<4!d!d  0Tu80___PPT10 pp?  %O  =hSISTEMA DIDRICO6 Intersecciones  !%&/'()*+   0` 33` Sf3f` 33g` f` www3PP` ZXdbmo` \ғ3y`Ӣ` 3f3ff` 3f3FKf` hk]wwwfܹ` ff>>\`Y{ff` R>&- {p_/̴>?" dd@,|?" dd@   " @ ` n?" dd@   @@``PR    @ ` ` p>>L0 (    6  `}  _+Haga clic para cambiar el estilo de ttulo , ,/  0Ę  `  kHaga clic para modificar el estilo de texto del patrn Segundo nivel Tercer nivel Cuarto nivel Quinto nivel7    l  0˘ ^ `  >*  0ј ^   @*  0՘ ^ `  @*B  s *޽h ? 3380___PPT10.0V *Diseo predeterminado3 0 PC(    0 P    X*   0d      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*   68/ _   Z* H  0޽h ? 3380___PPT10.t 0L0 p0(  x  c $\>  x  c $1w    H  0޽h ? 33___PPT10i.z8+D='  = @B +( 0L0   @;w0 P (  :F dZ   T    BQCg DEFfg PQQg @`S" dZ    Bg CQDEFfQg QQQ @`S" dp   0XfZ (LB  c $DppLB  c $DSLB @ c $D,   0X\S : HInterseccin de rectas 2   <p/ 2PV   <` 2PH   <eZj 2PH   <iz: 2PV  <n  XHs    <Tq| S<  >s2    <vP XVs    <qV< As$   <|J >  >s1  RB 2@ s *D}ԔPIRB 3 s *D}Ԕ IdB -@ <D1P dB ,@ <D1II  B   >s1  XB 7@ 0D}Ԕ~Q  5 Bȋ >s2  XB 6@ 0D}Ԕ:QpdB 4 <D1p  = <<gg XVs   > <| zI XHs  RB Y s *DuԔ.  RB % s *D ԔPI2 O 6ܝ z  (2 V 6ġ1^ (2 W 69f (RB Z s *DuԔ . RB X s *DԔ  . 2 ] 6 & D  (2 ^ 6((&  (dB _@ <D1 dB `@ <D1/  / RB d s *DuԔ~pRB e s *DuԔp^dB c <D1rldB b@ <D1oB h <D1h= ,$D  0 i <r3 >r2   j <* XVr   k < T k,  >r1   l <̹h XHr   m <Xv 6  AP$  o <ĞzaO >P2   p <ϞF s  >P1  dB @ <D1LNTl l  E  v E ,$D  0lB rB <D1 3 ZB s s *D  `B t 0D1 E fB u 6D13 > 2 a 6 ֞ M#  (H  0޽h ? 33z___PPT10Z.z@+/D.'  = @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+@ 0L0 % %P9N $(  ^8 Q N YI   B-CDEFfA- @`S"  &@ Q MQ`   0f p   BC#DEFd@ԔN# @`"`    WS p   BC DEF  d@ ԔY Y  @`"`    pPL D  # BCDEF" 1h8@`"`    Q}   B CDEF"d@1 PP@`"`    u`B  0DԔp`B  0DԔS V `B B 0D ԔS `B  0D ԔWp`B  0DԔxL 2  <` (2  <t9 k  ( 3 <: 2PH 4 <D *^ 2PV 5 < z vD  @ha"  6 0 -^ @va"  7 0^ Zvb"  8 < gv-  Zhb"  < <@   > 3a = 0 }2 3b ? <  F XVr   C < Jf   XHr  |l  <8  D< 8 ,$D 0 " 0% f <8  (TB # c $D ::TB $ c $D ggTB %B c $D,gg & <H)  F   2PH ' <' j* 2PVl <0  E<0 ,$D 0 ( <, gM F  @ha"  ) 06  D @va" ZB * s *DԔ<:ZB + s *DԔ:0  . 0l: S@ : w#Interseccin de dos planos oblcuos$ 2$z <)  L <) ,$D 0`B , 0D Ԕ<>`B -B 0D Ԕ2)  9 6? Sj,* Zvb"  : BD cF =  Zhb" l 2 J2,$D   0ZB 1 s *DԔV2 > <J  >r2  l ;8\  K8;\ ,$D   0ZB 2 s *DԔ8\  @ <P ; >r1  B /@ <D1B,$@  0B 0@ <D12VW ,$D  0pl    I ,$D 0 A <|V    XHr   B <\   XVr  2 ; B] 1t (2 H Be 1@ n'  (H  0޽h ? 33{s___PPT10S.B 8+BُD'' = @B D' = @BA?%,( < +O%,( < +D<' =%(D' =%(D)' =4@BBBB%()?)?D}' =.E7 BBBBBWM 1.94444E-6 3.7037E-7 L -0.12986 0.08588 *3>*B ppt_xB ppt_y=@0BBAApBBPBLh/=<*ND[' =4@BB BB%()))D' =1:Bvisible*o3>+B#style.visibility<*D%(D' =-g6B fade*<3<*DD)' =%(D' =%(Dy' =4@BBB*B%()))D' =1:Bvisible*o3>+B#style.visibility<*E%(D' =-6B)barn(outHorizontal)*<3<*ED)' =%(D' =%(Dy' =4@BBB*B%()))D' =1:Bvisible*o3>+B#style.visibility<*L%(D' =-6B)barn(outHorizontal)*<3<*LD' =%(D' =%(D+' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*I%(D' =-g6B fade*<3<*ID<' =%(D' =%(DC' =4@BBB B%(D' =1:Bvisible*o3>+B#style.visibility<*/%(D' =-6B#strips(downLeft)*<3<*/DA' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*0%(D' =-}6B!strips(upRight)*<3<*0D%' =%(D' =%(Du' =4@BBBB%()))D' =1:Bvisible*o3>+B#style.visibility<*J%(D' =-6B%strips(downRight)*<3<*JD' =%(D' =%(Do' =4@BBB B%()))D' =1:Bvisible*o3>+B#style.visibility<*K%(D' =-{6Bstrips(upLeft)*<3<*K+) 0L0 p8C(    Bm C DEFA m m  @`S" 8,$@ 0RB  s *D##>& &   BCDEFAZ @`S" J   Bd C DEFAd Rd  @`S" 8 ,$@ 0B  s *D >/ ,$D  0RB  s *D##>& & 2  Bv @" A ^ ,$D  0 * <p  3a + <u `G,$ 0 3b , <y & ~ 1r - <} z a ,$ 0 1s . < l @p,$  0 1P / 0 g PInterseccin de recta y plano. 2 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$L 8 0\ 9p$ 0<4___PPT9 ^ Hacemos pasar por la recta  r el plano  b .*0!,kx8`;H  0޽h ? 33___PPT10m.U+!D'  = @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^ 0L0 i.a.FD  -(    B-CDEFf- @`S" s OX  0fOQ s   BtZ 2PH  B  2PV  BQ 0  @ha"   6D!v5 @va"   6`xg,$   0 Zvb"   B0) P,$  0 Zhb"   B/p|0,$ 0 XVr    B45,$ 0 XHr   ' 0:S@ : 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,$@  0 G 0@H / 3a  60E ,$ 0 3bB T@ TDԔ [e ,$D  0(l    ,$D 0 \ BlI    XHs   ] B@O  XVs  2 [ 6UN,$D 0 ( _ <Xy8,$ 0 3P ` BPa j 3a b 6xgf < 8  (RB c s *D : :RB d s *D g gRB e@ s *D g,g f Bj F   2PH g Bo j* 2PV i B|n C"?M gF  @ha"  j 6q C"?D  @va" XB k 0DԔ <:XB l 0DԔ :0 l    ,$D 0ZB  s *D8c::ZB B s *D8c:  q BlE   Zhb"   0C"?# Zvb" zz      ,$D 0`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 ,$D 0rB B BD1 mAn`B  0Dons; { B qpZ0  XHs    B XVs  2 ~ H1C"?W (  B(uIf >s2   B B,G >s1  `B  0Dom;sl  ,$D 0  <8 >P1  lB B <D1PQ2 } H41: h9 (2  Bད1<j+ (  <ǑhW >P2  H  0޽h ? 33w/o/___PPT10O/.B 8+[D-'  = @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 + 0L0 "0(  H  0޽h ? 33___PPT10i.r}+D='  = @B + 0 H@`(  ^  S    :  c $ޞ 0   La interseccin de dos rectas es un punto. En la representacin en el sistema didrico las intersecciones de las proyecciones homnimas deben corresponder a las proyecciones de un punto.H  0޽h ? 3380___PPT10.z  0 (  X  C      S   0    H  0޽h ? 3380___PPT10.rF  0 (  X  C      S |< 0    H  0޽h ? 3380___PPT10.,B  0 (  X  C      S k  0    H  0޽h ? 3380___PPT10.,B0n   0 (  X  C      S   0    H  0޽h ? 3380___PPT10.,B0n   0 (  X  C      S   0    H  0޽h ? 3380___PPT10.,Bp{ Bx[opw6PB9dH I ;IE>T)3H:G8N44[tiI:m4Mm:NIۡi~ɇ6LP{:ٲ1ioϾv~?=? By15q 椕89e"w==+*uH#u^S3ʿm&^y9/r~|D{v@{eɿxd&ԬOg kcWCk1MlAĦu*`5p#*:}q;lMlO :VX^ȹpKX \g|;mC\l akzg|[`ځFV`pNv@Ȁ 0tmzy5u D ;.`7G,v>ᓤ'CG.;fߴ=[͟"1_e>{zR>@W/@wW)hbnS~Y9{5ײyu#?D5ʿ}^܄].}X#1=擺TէH  I]Y3Wg)[zEZݻݧy밙,yѭ\+26"BVv(3,u{,IFA}׶nhT5= b-ZWUK쒻~ h@$U Cuiu*X̥̼=7dꞔ}BR$>=~X#Ud(E1o٧Ej=YOJXV/]FPE1(JAY?;i@VHaHbnIp ZUV0t5zZşXeM/s?S앃#qy156)R].lPuV$,Kmxw7^繶ƦVݢ7>L-;xJB1ee;i R"0m?G NbIDE}|˥_-ER.R9' 3+K8oJY 팒Q q}Cg}4To)y*DiKw2*Ebx辀S}~ODOZҕRt&Jj>9>jHHH:$䍬hr'-ʎBb[k(FL%NG/&3*i*ES?^'y%(a+IGGXƸ0|km,=e2G5hO(60N4 q%,<5_ԥGF>5j!)!o;5()K ~C19[s[z6'H酣/tb\I_>R/lmVj;=A{Ր_F|=ԣP :1OU~R#̞wW>F|J}c۷kdfG n\lKzq%:RIlTlSNÆs܃7?е =f?"`u"i5+ε>N~s {r'&uy_e7B`1p5za7ؿ$8 $@*^Ftڒ~Q]qߴfpP~سlNJvEBY׹SSYSԉN\I#G@N$1dwFpeZF}ji#WCW5 `VwmB);=h[0mD0ڵ۶!)!QHгӚ} 5yEC[07Ѣb5Yeׂƃ;8(C]Jւ=7!I~'Z ڒ|ɬ#zxϔ3vcPwrkBc`Y}>0:˶mj'kQ$! q3yL^DZ_2i? MCĸ R`%BI@.hT;z#b)l? W (l_W0KV:,C ,hIFfce{]M;TMGMBv mnHUp1ZOK$m뺄L?bNV仼 <b6ŀmq LabڛHj6a#9ԻȅMbBo ~z; 8PY }D׸~}AxOѾ`uCƃliRn귎~++5xѵ?)Ң/ǻxj`7ПCMTyAV bԃWx }GN{<ѣFf(~!kz_HB6rV5r1=ij`'ug_9ݪ웁oK<|9s}z:̘܆6TS9K,e b UURiV .KS$c>_.15;ƨA{N"[O-_j~~j|}ՃZDN:()~*6zﶌ5hhM}A9$9$y@HTMբz#r(WHX TJUbƠ]g?O~S??ϜT?~sy?^!n6̩ }C`|5?Vh|SNynϭӵN泌ee\Xte%/)drT0>N0"y C#%p (+Oh+'0` `h  Diapositiva 1Usuariousuario75Microsoft PowerPoint@`@@ G`g    y--$xx--'@Arial-. 332 6 SISTEMA DI  ."System:-@Arial-. 33 2 6\g.-@Arial-. 332 6cDRICO  .-@Arial-. 332 B7Intersecciones.-՜.+,00    Presentacin en pantallas)U  ArialSymbolDiseo predeterminadoSISTEMA DIDRICODiapositiva 2Diapositiva 3Diapositiva 4Diapositiva 5Diapositiva 6 Fuentes usadasPlantilla de diseoTtulos de diapositiva_O)0usuariousuario  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~Root EntrydO)Current UserSummaryInformation(PowerPoint Document(s)DocumentSummaryInformation8