DERIVE for Windows version 5.00 DfW file saved on 17 Dec 2000
<   ALTURAATRIANGULO(m, n, p, q, r, s):=n·(q - s) + m·(p - r) + y·(s - q) + x·(r - p) = 0
ALTURABTRIANGULO(m, n, p, q, r, s):=ALTURAATRIANGULO(p, q, r, s, m, n)
ALTURACTRIANGULO(m, n, p, q, r, s):=ALTURAATRIANGULO(r, s, m, n, p, q)
AREATRIANGULOV(a, b, c):=1/2·ABS(DET([a™1, a™2, 1; b™1, b™2, 1; c™1, c™2, 1]))
BARICENTROTRIANGULO(m, n, p, q, r, s):=[(r + p + m)/3, (s + q + n)/3]
CIRCUNCENTROTRIANGULO(m, n, p, q, r, s):=[1/2·(q·(- s^2 - r^2 + q·s) + p^2·s - n·(- s^2 - r^2 + q^2 + p^2) + n^2·(q - s) + m^2·(q - s))/(- q·r + p·s + n·(r - p) + m·(q - s)), - 1/2·(q^2·r - p·(r^2 + s^2) + p^2·r + n^2·(p - r) - m·(- s^2 - r^2 + q^2 + p^2) + m^2·(p - r))/(- q·r + p·s + n·(r - p) + m·(q - s))]
DISTANCIA(a, b, m, n, p):=ABS(p + n·b + m·a)·(m^2 + n^2)^(- 1/2)
DISTANCIAV(v, m, n, p):=ABS(p + n·v™2 + m·v™1)·(m^2 + n^2)^(- 1/2)
HOMOTETICODEVRESPECTOPRAZONK(u, v, p, q, k):=[p, q] + k·[u - p, v - q]
HOMOTETICODEVRESPECTOPRAZONKV(v, p, k):=p + k·(v - p)
INTERSECCIONRECTAS(©, ß, ¼, ´, ¿, µ):=[(ß·µ - ¼·¿)/(©·¿ - ß·´), (¼·´ - ©·µ)/(©·¿ - ß·´)]
INTERSECDIAGCUADR(m, n, p, q, r, s, t, u):=[(m·(p·(s - u) + t·(q - s)) - r·(q·t - p·u + n·(p - t)))/(- s·t + r·u - q·r + p·s + n·(t - p) + m·(q - u)), (s·(p·u - q·t) - n·(- r·u + q·(r - t) + p·u) + m·s·(q - u))/(- s·t + r·u - q·r + p·s + n·(t - p) + m·(q - u))]
INVERSODEVRESPECTOPPOTENCIAK(u, v, p, q, k):=[p, q] + (k·ABS([u - p, v - q])^(-2))·[u - p, v - q]
INVERSODEVRESPECTOPPOTENCIAKV(v, p, k):=p + (k·ABS(v - p)^(-2))·(v - p)
MACROALTURASTRIANGULO(m, n, p, q, r, s):=[[m, n; p, q; r, s; m, n], [ALTURAATRIANGULO(m, n, p, q, r, s), ALTURABTRIANGULO(m, n, p, q, r, s), ALTURACTRIANGULO(m, n, p, q, r, s)]]
MACROMEDIANASTRIANGULO(m, n, p, q, r, s):=[[m, n; p, q; r, s; m, n], [MEDIANAATRIANGULO(m, n, p, q, r, s), MEDIANABTRIANGULO(m, n, p, q, r, s), MEDIANACTRIANGULO(m, n, p, q, r, s)]]
MACROMEDIATRICESTRIANGULO(m, n, p, q, r, s):=[[m, n; p, q; r, s; m, n], [MEDIATRIZATRIANGULO(m, n, p, q, r, s), MEDIATRIZBTRIANGULO(m, n, p, q, r, s), MEDIATRIZCTRIANGULO(m, n, p, q, r, s)]]
MACRORECTAEULERTRIANGULO(m, n, p, q, r, s):=[[m, n; p, q; r, s; m, n], RECTAEULERTRIANGULO(m, n, p, q, r, s)]
MEDIANAATRIANGULO(m, n, p, q, r, s):=RECTAPORDOSPUNTOS(m, n, (p + r)/2, (q + s)/2)
MEDIANABTRIANGULO(m, n, p, q, r, s):=MEDIANAATRIANGULO(p, q, r, s, m, n)
MEDIANACTRIANGULO(m, n, p, q, r, s):=MEDIANAATRIANGULO(r, s, m, n, p, q)
MEDIATRIZ(a, b, c, d):=d^2 + c^2 - b^2 - a^2 + 2·y·(b - d) + 2·x·(a - c) = 0
MEDIATRIZATRIANGULO(m, n, p, q, r, s):=MEDIATRIZ(p, q, r, s)
MEDIATRIZBTRIANGULO(m, n, p, q, r, s):=MEDIATRIZATRIANGULO(p, q, m, n, r, s)
MEDIATRIZCTRIANGULO(m, n, p, q, r, s):=MEDIATRIZATRIANGULO(r, s, m, n, p, q)
MEDIATRIZV(a, b):=(b - a)™1·(x - ((a + b)/2)™1) + (b - a)™2·(y - ((a + b)/2)™2) = 0
NORMALUNITARIA(a, b, m, n, p):=IF(p + n·b + m·a > 0, - (1·(m^2 + n^2)^(- 1/2))·[m, n], (1·(m^2 + n^2)^(- 1/2))·[m, n])
NORMALUNITARIAV(v, m, n, p):=IF(p + n·v™2 + m·v™1 > 0, - (1·(m^2 + n^2)^(- 1/2))·[m, n], (1·(m^2 + n^2)^(- 1/2))·[m, n])
ORTOCENTROTRIANGULO(m, n, p, q, r, s):=[- (m·(r·s - p·q + n·(p - r)) + (q·s + p·r - n·(q + s) + n^2)·(q - s))/(- q·r + p·s + n·(r - p) + m·(q - s)), (- q·r·s + p·(q·s - r^2) + p^2·r + n·(r·s - p·q) + m·(r^2 - p^2 + n·(q - s)) + m^2·(p - r))/(- q·r + p·s + n·(r - p) + m·(q - s))]
PMEDIO(a, b, c, d):=[(a + c)/2, (b + d)/2]
PUNTOMEDIOV(a, b):=(a + b)/2
RECTACARTAPUNTOPENDIENTE(m, n, p):=IF(n ” 0, SOLVE(p + n·y + m·x = 0, y), SOLVE(p + n·y + m·x = 0, x))
RECTAEULERTRIANGULO(m, n, p, q, r, s):=[BARICENTROTRIANGULO(m, n, p, q, r, s), ORTOCENTROTRIANGULO(m, n, p, q, r, s), CIRCUNCENTROTRIANGULO(m, n, p, q, r, s)]
RECTAPARALELA(m, n, p, a, b):=m·(x - a) + n·(y - b) = 0
RECTAPARALELAV(m, n, p, v):=m·(x - v™1) + n·(y - v™2) = 0
RECTAPENDIENTEARECTACART(a, b, m):=IF(m = –, x = a, b - m·a - y + m·x = 0)
RECTAPENDIENTEARECTACARTV(a, m):=IF(m = –, x = a™1, a™2 - m·a™1 - y + m·x = 0)
RECTAPERPENDICULAR(m, n, p, a, b):=n·(x - a) - m·(y - b) = 0
RECTAPERPENDICULARV(m, n, p, v):=n·(x - v™1) - m·(y - v™2) = 0
RECTAPORDOSPUNTOS(a, b, c, d):=- b·c + a·d + y·(c - a) + x·(b - d) = 0
RECTAPORDOSPUNTOSV(u, v):=- u™2·v™1 + u™1·v™2 + y·(v™1 - u™1) + x·(u™2 - v™2) = 0
ROTACION(v, p, ang):=p + [(v™1 - p™1)·COS(ang) - (v™2 - p™2)·SIN(ang), (v™1 - p™1)·SIN(ang) + (v™2 - p™2)·COS(ang)]
SIMETRICO(a, b, m, n, p):=[a, b] + 2·DISTANCIA(a, b, m, n, p)·NORMALUNITARIA(a, b, m, n, p)
SIMETRICODEPUNTORESPECTOPUNTO(a, b, p, q):=2·[p, q] - [a, b]
SIMETRICODEPUNTORESPECTOPUNTOV(v, p):=2·p - v
SIMETRICOPUNTORESPECTORECTA(a, b, m, n, p):=[(- 2·p·m - 2·b·m·n + a·(n^2 - m^2))/(m^2 + n^2), (- 2·p·n - 2·a·m·n + b·(m^2 - n^2))/(m^2 + n^2)]
SIMETRICOPUNTORESPECTORECTAV(v, m, n, p):=[(- 2·p·m - 2·v™2·m·n + v™1·(n^2 - m^2))/(m^2 + n^2), (- 2·p·n - 2·v™1·m·n + v™2·(m^2 - n^2))/(m^2 + n^2)]
SIMETRICOV(v, m, n, p):=v + 2·DISTANCIAV(v, m, n, p)·NORMALUNITARIAV(v, m, n, p)
A:=[u, v]
B:=[-1, 0]
C:=[1, 0]
ang:=
hCross:=APPROX(54545454545454541/100000000000000000)
vCross:=APPROX(90909090909090917/100000000000000000)
©:=
´:=
µ:=
¼:=
¿:=
ß:=
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{\colortbl\red0\green0\blue0;}
\deflang1034\pard\plain\f3\fs24 Un problema curios de Juan Bosco Romero.
\par Un tri\'e1ngulo cualquiera ABC. Se proyecta un punto de a sobre b y sobre c.
\par Se pide el lugar de los puntos en los que las dos diagonales del cuadril\'e1tero que as\'ed se obtiene se cortan.
\par 
\par Tomamos como tri\'e1ngulo general A(u,v) B(-1,0) C(1,0). El punto sobre BC ser\'e1 (t,0).
\par }
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\deflang1034\pard\plain\f3\fs24 
\par }
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      "RECTAPERPENDICULAR(v,-(1+u),0,t,0)€  ¢     ®  	Simp(#10)ú~j¼t“x?      -x*(u+1)-v*y+t*(u+1)=0€8   º  `  Æ   User      ð¿      RECTAPERPENDICULAR(v,1-u,0,t,0)€   Ò    Þ  	Simp(#12)ü©ñÒMbp?      x*(1-u)-v*y+t*(u-1)=0€8   ê  ð  ö   User      ð¿      ,INTERSECCIONRECTAS(v,-u-1,v,-u-1,-v,t*(u+1))€ð     @  >  	Simp(#14){®Gáz„?      ?[(t*(u+1)^2-v^2)/(u^2+2*u+v^2+1),v*(t+1)*(u+1)/(u^2+2*u+v^2+1)]€8   J  è  V   User      ð¿      +INTERSECCIONRECTAS(v,1-u,-v,1-u,-v,t*(u-1))€ð   b  @  ž  	Simp(#16){®Gáz„?      ?[(t*(u-1)^2+v^2)/(u^2-2*u+v^2+1),v*(t-1)*(u-1)/(u^2-2*u+v^2+1)]€   ª    Î   ÿ|{\rtf1\ansi\deff0\deftab720{\fonttbl{\f0\fswiss MS Sans Serif;}{\f1\froman\fcharset2 Symbol;}{\f2\fswiss\fprq2 System;}{\f3\fmodern\fcharset2 DfW5 Printer;}{\f4\fmodern\fcharset2 DfW5 Printer;}}
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\deflang1034\pard\plain\f3\fs24 Estas son las proyecciones de (t,0) sobre los lados.
\par Ahora tomamos las intersecciones de las diagonales.
\par }
€8   Ú     æ   User      ð¿      RECTAPORDOSPUNTOSV(A,[t,0])€8  ò     þ  	Simp(#18){®Gázt?      v*x+y*(t-u)-t*v=0€8   
     Ž   User      ð¿      “RECTAPORDOSPUNTOSV([(t*(u+1)^2-v^2)/(u^2+2*u+v^2+1),v*(t+1)*(u+1)/(u^2+2*u+v^2+1)],[(t*(u-1)^2+v^2)/(u^2-2*u+v^2+1),v*(t-1)*(u-1)/(u^2-2*u+v^2+1)])€8   š       	Simp(#20)¤p=
×£°?      Ï2*v*x*(u*(u^2+v^2-1)-t*(u^2-v^2-1))/((u^2+2*u+v^2+1)*(u^2-2*u+v^2+1))-2*v^2*y*(2*t*u-u^2-v^2-1)/((u^2+2*u+v^2+1)*(u^2-2*u+v^2+1))+2*v*(t^2*(u+1)*(u-1)-t*u*(u^2+v^2-1)-v^2)/((u^2+2*u+v^2+1)*(u^2-2*u+v^2+1))=0€8   *     ö   User      ð¿      çINTERSECCIONRECTAS(v,t-u,-t,2*v*(u*(u^2+v^2-1)-t*(u^2-v^2-1))/((u^2+2*u+v^2+1)*(u^2-2*u+v^2+1)),-2*v^2*(2*t*u-u^2-v^2-1)/((u^2+2*u+v^2+1)*(u^2-2*u+v^2+1)),2*v*(t^2*(u+1)*(u-1)-t*u*(u^2+v^2-1)-v^2)/((u^2+2*u+v^2+1)*(u^2-2*u+v^2+1)))€8        Î  	Simp(#22)¸…ëQ¸®?      ÿ[(t^3*(u+1)*(u-1)-t^2*u*(2*u^2+v^2+2*v-2)+t*(u^4+u^2*(v^2+v-1)+v*(v^2-v+1))+u*v^2)/(t^2*(u^2-v^2-1)-2*t*u*(u^2+v^2-1)+u^4+u^2*(2*v^2-1)+v^2*(v^2+1)),-(t^2*(u^2*(v-1)+v^2-v+1)+t*u*(1-v)*(u^2+v^2-1)-v^3)/(t^2*(u^2-v^2-1)-2*t*u*(u^2+v^2-1)+u^4+u^2*(2*v^2-1)+v^2*(v^2+1))]€   Ú    þ   ÿ¥{\rtf1\ansi\deff0\deftab720{\fonttbl{\f0\fswiss MS Sans Serif;}{\f1\froman\fcharset2 Symbol;}{\f2\fswiss\fprq2 System;}{\f3\fmodern\fcharset2 DfW5 Printer;}{\f4\fmodern\fcharset2 DfW5 Printer;}}
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\deflang1034\pard\plain\f3\fs24 Esto ya nos da las coordenadas param\'e9tricas del lugar pedido, que parece bastante complicado. Podemos experimentar, poniendo u=0.5, v=2, por ejemplo
\par }
€À   
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{\colortbl\red0\green0\blue0;}
\deflang1034\pard\plain\f3\fs24 Aparece una curva enrevesada pero que parece tener tres as\'edntotas, una en direcci\'f3n de Ox, pero las otras dos en direcciones curiosas
\par }
ÿÿ   CDispOleObj   â  $  Q  ÿÿ  	 CDispItem                † ÐÏà¡±á                >  þÿ	                               þÿÿÿ                       	   
                     ÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿýÿÿÿÁ  þÿÿÿþÿÿÿýÿÿÿýÿÿÿýÿÿÿýÿÿÿýÿÿÿýÿÿÿýÿÿÿýÿÿÿýÿÿÿýÿÿÿýÿÿÿýÿÿÿýÿÿÿ                                              !   "   #   $   %   &   '   (   )   *   +   ,   -   .   /   0   1   2   3   4   5   6   7   8   9   :   ;   <   =   >   ?   @   A   B   C   D   E   F   G   H   I   J   K   L   M   N   O   P   Q   R   S   T   U   V   W   X   Y   Z   [   \   ]   ^   _   `   a   b   c   d   e   f   g   h   i   j   k   l   m   n   o   p   q   r   s   t   u   v   w   x   y   z   {   |   }   ~      €   R o o t   E n t r y                                               ÿÿÿÿÿÿÿÿ         À      F            À˜QŒÀ   À        O l e                                                         
 ÿÿÿÿÿÿÿÿÿÿÿÿ                                               C O N T E N T S                                                  ÿÿÿÿÿÿÿÿÿÿÿÿ                                       ®_      C o m p O b j                                                        ÿÿÿÿ                                       {       þÿÿÿ   þÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿ                                                               þÿ
  ÿÿÿÿ      À      F5   Imagen (Mapa de bits independiente del dispositivo ) ÿÿÿÿ   
   StaticDib ô9²q                                                                                                                                                                                                                                                                                                                                                    ‚   ƒ   „   …   †   ‡   ˆ   ‰   Š   ‹   Œ      Ž         ‘   ’   “   ”   •   –   —   ˜   ™   š   ›   œ      ž   Ÿ       ¡   ¢   £   ¤   ¥   ¦   §   ¨   ©   ª   «   ¬   ­   ®   ¯   °   ±   ²   ³   ´   µ   ¶   ·   ¸   ¹   º   »   ¼   ½   ¾   ¿   À   Á   Â   Ã   Ä   Å   Æ   Ç   È   É   Ê   Ë   Ì   Í   Î   Ï   Ð   Ñ   Ò   Ó   Ô   Õ   Ö   ×   Ø   Ù   Ú   Û   Ü   Ý   Þ   ß   à   á   â   ã   ä   å   æ   ç   è   é   ê   ë   ì   í   î   ï   ð   ñ   ò   ó   ô   õ   ö   ÷   ø   ù   ú   û   ü   ý   þ   ÿ                      	  
                                               !  "  #  $  %  &  '  (  )  *  +  ,  -  .  /  0  1  2  3  4  5  6  7  8  9  :  ;  <  =  >  ?  @  A  B  C  D  E  F  G  H  I  J  K  L  M  N  O  P  Q  R  S  T  U  V  W  X  Y  Z  [  \  ]  ^  _  `  a  b  c  d  e  f  g  h  i  j  k  l  m  n  o  p  q  r  s  t  u  v  w  x  y  z  {  |  }  ~    €    ‚  ƒ  „  …  †  ‡  ˆ  ‰  Š  ‹  Œ    Ž      ‘  ’  “  ”  •  –  —  ˜  ™  š  ›  œ    ž  Ÿ     ¡  ¢  £  ¤  ¥  ¦  §  ¨  ©  ª  «  ¬  ­  ®  ¯  °  ±  ²  ³  ´  µ  ¶  ·  ¸  ¹  º  »  ¼  ½  ¾  ¿  À  Á  Â  Ã  Ä  Å  Æ  Ç  È  É  Ê  Ë  Ì  Í  Î  Ï  Ð  Ñ  Ò  Ó  Ô  Õ  Ö  ×  Ø  Ù  Ú  Û  Ü  Ý  Þ  ß  à  á  â  ã  ä  å  æ  ç  è  é  ê  ë  ì  í  î  ï  ð  ñ  ò  ó  ô  õ  ö  ÷  ø  ù  ú  û  ü  ý  þ  ÿ                     	  
                                               !  "  #  $  %  &  '  (  )  *  +  ,  -  .  /  0  1  2  3  4  5  6  7  8  9  :  ;  <  =  >  ?  @  A  B  C  D  E  F  G  H  I  J  K  L  M  N  O  P  Q  R  S  T  U  V  W  X  Y  Z  [  \  ]  ^  _  `  a  b  c  d  e  f  g  h  i  j  k  l  m  n  o  p  q  r  s  t  u  v  w  x  y  z  {  |  }  ~    €    ‚  ƒ  „  …  †  ‡  ˆ  ‰  Š  ‹  Œ    Ž      ‘  ’  “  ”  •  –  —  ˜  ™  š  ›  œ    ž  Ÿ     ¡  ¢  £  ¤  ¥  ¦  §  ¨  ©  ª  «  ¬  ­  ®  ¯  °  ±  ²  ³  ´  µ  ¶  ·  ¸  ¹  º  »  ¼  ½  ¾  ¿  À  Á  Â  Ã  Ä  Å  Æ  Ç  È  É  Ê  Ë  Ì  Í  Î  Ï  Ð  Ñ  Ò  Ó  Ô  Õ  Ö  ×  Ø  Ù  Ú  Û  Ü  Ý  Þ  ß  à  á  â  ã  ä  å  æ  ç  è  é  ê  ë  ì  í  î  ï  ð  ñ  ò  ó  ô  õ  ö  ÷  ø  ù  ú  û  ü  ý  þ  ÿ                     	  
                                               !  "  #  $  %  &  '  (  )  *  +  ,  -  .  /  0  1  2  3  4  5  6  7  8  9  :  ;  <  =  >  ?  @  A  B  C  D  E  F  G  H  I  J  K  L  M  N  O  P  Q  R  S  T  U  V  W  X  Y  Z  [  \  ]  ^  _  `  a  b  c  d  e  f  g  h  i  j  k  l  m  n  o  p  q  r  s  t  u  v  w  x  y  z  {  |  }  ~    €    ‚  ƒ  „  …  †  ‡  ˆ  ‰  Š  ‹  Œ    Ž      ‘  ’  “  ”  •  –  —  ˜  ™  š  ›  œ    ž  Ÿ     ¡  ¢  £  ¤  ¥  ¦  §  ¨  ©  ª  «  ¬  ­  ®  ¯  °  ±  ²  ³  ´  µ  ¶  ·  ¸  ¹  º  »  ¼  ½  ¾  ¿  À  Á  Â  Ã  Ä  Å  Æ  Ç  È  É  Ê  Ë  Ì  Í  Î  Ï  Ð  Ñ  Ò  Ó  Ô  Õ  Ö  ×  Ø  Ù  Ú  Û  Ü  Ý  Þ  ß  à  á  â  ã  ä  å  æ  ç  è  é  ê  ë  ì  í  î  ï  ð  ñ  ò  ó  ô  õ  ö  ÷  ø  ù  ú  û  ü  ý  þ  ÿ                     	  
                                               !  "  #  $  %  &  '  (  )  *  +  ,  -  .  /  0  1  2  3  4  5  6  7  8  9  :  ;  <  =  >  ?  @  A  B  C  D  E  F  G  H  I  J  K  L  M  N  O  P  Q  R  S  T  U  V  W  X  Y  Z  [  \  ]  ^  _  `  a  b  c  d  e  f  g  h  i  j  k  l  m  n  o  p  q  r  s  t  u  v  w  x  y  z  {  |  }  ~    €    ‚  ƒ  „  …  †  ‡  ˆ  ‰  Š  ‹  Œ    Ž      ‘  ’  “  ”  •  –  —  ˜  ™  š  ›  œ    ž  Ÿ     ¡  ¢  £  ¤  ¥  ¦  §  ¨  ©  ª  «  ¬  ­  ®  ¯  °  ±  ²  ³  ´  µ  ¶  ·  ¸  ¹  º  »  ¼  ½  ¾  ¿  À  Á  Â  Ã  Ä  Å  Æ  Ç  È  É  Ê  Ë  Ì  Í  Î  Ï  Ð  Ñ  Ò  Ó  Ô  Õ  Ö  ×  Ø  Ù  Ú  Û  Ü  Ý  Þ  ß  à  á  â  ã  ä  å  æ  ç  è  é  ê  ë  ì  í  î  ï  ð  ñ  ò  ó  ô  õ  ö  ÷  ø  ù  ú  û  ü  ý  þ  ÿ                     	  
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MS Sans Serif;}{\f1\froman\fcharset2 Symbol;}{\f2\fswiss\fprq2 System;}{\f3\fmodern\fcharset2 DfW5 Printer;}{\f4\fmodern\fcharset2 DfW5 Printer;}}
{\colortbl\red0\green0\blue0;}
\deflang1034\pard\plain\f4\fs24 Da la impresi\'f3n, por la imagen del experimento, que el lugar consiste en una recta y una c\'f3nica. 
\par PROBLEMA: Determinar si esto es as\'ed o no.
\par }
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