_^;`badce\RCT:AC 3 BC$f b 3 3 F O >
5
0
0
Testo completo
(2)
(3)
(4) . . !"$#&%(')+**,.-/%0#1% 243 57689:;9 <
(5) => 75 ?8@ ACB0 = D FE A 3 576 3 . G$HI D7JK G KMLN;O. PQ >= SRCT+A0 3 BCUD
(6) ACB076V
(7) 6D768WX =YJD G[Z \ ] WC= 6DgA 3 J h DYWU =Y6 3 3 AC7 ] 3 A 3Ci3 Aj6k FE A 3 576 3 < ] D _^;`badce\RCT:AC 3 BC$f b 3 3 F O > j n 6 . j B o 6 p f WX = Grcs lUImG q [ lXI Otcu\ 2 DdWC= 6DA 3 J V 3
(8) 6 X l ImG O ] Bj v 3 7
(9) 6Fw6 3 3 Aj68 AoxywD768
(10) ACB076V
(11) 6D76VWX = G{z \ D_^;`}|~f ImG Ocw ] A 3 8 3 gV6j fU ImG Oc G D7J G L G RCnji 3C3 ACDD WX = G cy R0BC6;kw F 1 l 3C3 ACDD WX = G ce8 G c ] A 3w
(12) 6j 3
(13)
(14) = D E A 3 576 3 Y ] 6 3 k R Bj
(15)
(16) = Y ] 6 3 P = G c k d D_^;`bafU ImG Oce\DS
(17) 6 3 G ce ] 3 J 3
(18) i6=75 5 6 3 D7 ?F 7= }
(19) b
(20)
(21) }v 3 7
(22) 6. ~ a. } 3
(23) 6 M < g
(24)
(25) dv
(26) VW0768B0 ¨ `. D ~. ¨ a. G G e. = k6 D6D =D6j 3
(27) 6wWX =n¢£ ¡ DS¤ 3
(28) J= 3 B k i wWX = G¦¥ ^ 2 D D6D68WX6= . G G c. Iª©$«M¬ ¬ « OQL. ]A = W$B V 3
(29) B }§W$ 8. G H ¯ c ®¢B AC G . ?8´ D6D = bWX =dT+A Dgµ =g ACD7 v 3
(30) 6 ~ DJ ImG e;OL¶D7J ImG LN;O· H. G. µ. G c°L . . ®c²± ± ±:c. Q³. G. bWU =¸T+AjXk D76=B0µ¹ Dg6D =D76j ]
(31) 68 h gD7Rj · X
(32) = 6k 6 3 A 3C_E 6= w§L/¯ 2 DD76J =>7 V6 3 6 3 i 3 1
(33). J = X W. ¸ = W =. I D&
(34) =8 3 »^º D6
(35) = =>7k: V 6t
(36) 8W0DV 3
(37) wFD766 3 ª @ Bj = = V68BC6WU6+O . ¨ ¨ e G µ G G c G G D7J ³ ³ ³1¼ G G LN:½ mI G LN;O ImG e;O G H H H 3 0 W C W = . D 6 D Q D C W = V ¹ 6
(38). = 8 V j B D D
(39) 6 8 R1njVW0=
(40) 3 A 3C 3 Bj .
(41) =8 3C 56 3 BjDD E 6= ¾±\RnCt =
(42) 6D7kt6 3¿ ¤ÀF6Á W$7 DSRQ =ACD7 o DD v 3 F± ± ±\cL/ÂD7J¢Ã: ¨. e D7J G G LN. µ.
(43) P 6 Y Ä D 6D g D¢ 6 3 Bj6(
(44) =8 3 =gBCAC 3 Bj6Ȁ
(45) =8 3 BjDgDS¤ 3
(46) J= 3 B » DD76
(47)
(48)
(49) 6 Bj 3 6 3C
(50) 6= } 1n G H µ ImG H LN;O ;O ImG LN;O GQImG e ] A 3 WX6Dª _T+Aj 8E A 3 576 3 }n 3
(51) J= D7wv 3 7
(52) 6
(53) 6D 3
(54) 6¹
(55) D 3 AC8 =
(56) 6= wk\ _ ]
(57) }µFc°L: P = 3 6 76VBCÅÆ0ÇÄJ= B0 3jE =76= T:AjDD76FBjDBj 3 6 3C
(58) 6= RC 76 _. D7wk D76=}BCµDS¤ 3
(59) J= D7b=ACD7 ¨ G N L ;O GQImG ImG e;O H >nj}=ACD7 v 3 7
(60) 6j ¤ 3
(61) J= 3 B 6VWX6 3 } 3oE =
(62) ·
(63) 8W0D S . cÉÈ. GÂImG LN;O ImG e;O. G. . Ê G e. Ë L G N. d :
(64) = 6k 3 6}:6: Ì 7 3 SR >njY=ACD7 3 6 I D7k6b = = 6=>ÍO c L:Ï Î cÎÏ cÎ È Ê Ë tWC=>87 7kV
(65) 6 3 6»BjD76J =7 BjT+A DgA 3 6»6 3 J 3 6 3 J 7k6{T:AC 3 BC vCJAC= DD76J = V68BCA 3 T:Aj657 3
(66) w>nj}WX =Ð ¥ }Ñn D 8
(67) ¸v 3 7
(68) 6j 6WX6
(69) 6 Aj
(70)
(71) 6j ?VÒ = 6k =wD WC=g87 7k iÓ ImG OÄBC f ImG Oc. G . G D7J G . N G H. D7inj Ó I ;Oce: &bE. 87JD BjDgD7ÄWC=8 7kÄ= ACD I gDj
(72) 6 3 Bj6}
(73) =>8 3 d j 3
(74) J= WU =W = ] =7k = w G H c I G O H O> 3 DX
(75) = 5 6t 3 6 nji W0A 68 . G Ô Ã . G H D J G L . Õ G H. . => 3 G Ö. }WX6 3 3 Bj6 Ó I ;OceV6
(76) 7 3 I D7k68 = = 6=>ÍOÖc ? ´ D6D = a. Ø× L H . H. = 3 \. H G Nà I G O G. @ XWX6 3 G Ã}c¯®YB A0 G c¯® H LÙÃVL ¥ G cM® ®> Ú Bj
(77) 6£ WX6
(78) 6 3 6d D6D = ¢D7WC=g87 7kBjDD ÄE A 3 576 3
(79) WC= d3 DgD k => h D7 ®ÛR·WX6Â=7
(80) 6= 30 = DD k = h D G R1 D6D = tA 3C WC= 7 7k 3 :RQT+AC 3 BCQ 3 o
(81) 6
(82)
(83) = = = Ú D7
(84) =8 3 SR Ü Ç¢ÝUÞÝFÜ>ß$à;ÆCÞáÇÄâãÞäÛÝ$åä Çåámá7åàMåäÛßSå æßmá7ÇçR W0A 6 ] D6D = DS¤ 3
(85) J= D7 Bj v 3 7
(86) 6 3 DD k = h D7d®ÛRj i DgD76= $BC k =
(87)
(88) 3 >njbDS¤ 3
(89) J= D7£k B Ã :R\nj£
(90) 6 3 6w0k D6=CnC A0VD ®T:A 3 Bj6 G ACVd=g
(91) WX
(92) 7k 8 3
(93) k D76=8w:.
(94) Ã ?8@ ACB0 = D FE A 3 576 3 wf ImG Oc G H L¶ 3 G H ]
(95) VW0= Z I T+A D =6 < ] W =SRÂk D7 3 DgDS6=7J 3 WU =_JD GZ o ]
(96) VW0= } JJ76= iBjDXWC= 6WC=>76V
(97) 3 6+O> Ò 3 Bj w¾WX = Go¥ e WU67 7k6 w ] WX = < ] f ImG O_cè G LN6 G H ± G nC¹ 3C3 ACDD 3 {¹BC6;ko6 G H cuR 76 ¹ ] WX6 7 7k RT+AC 3 BCD E A 3 576 3 ¹ ] = 3
(98) o G cêé ë»ìÂÏFë Z \ D7
(99) = 6;k ] 6 3CE =
(100) 6{B DD 3 DÂW0A 3 k:= ] Bj Q6=75 5 6 3 DS ´ nCF 3 6 8 Bj =7k
(101) 6 3 B £f Imí OYcÎ I LÙ6 G H O& Õ G H 3 G H I BC6;k8D&6
(102) 3 6k D¹ D0
(103) 3 6F 3C3 ACDD O> & BC =7k
(104) 6 3 B 303 ACDgD w3 >nj 3 G ce\Rj D ] î Ý$ÞÝ ]
(105) 6jR$ A 3 3 V6 I
(106) 6DAj
(107) 6+O>dDS 303C3 A0DD = XBjDgD7wf 3 A 3 W0A 3
(108) 6 3 6 3 J = 3 g iDS
(109)
(110) 3 5 BCD
(111) 6t 3 T:AjDW0A 3
(112) 6jR0
(113) 6D7 3
(114) 6tnCiT:AjDW0A 3
(115) 6 ] A 3h Aj6 3 3 B0B
(116) 6VWX =DS g
(117)
(118) 3 5 BjD
(119) 6j ?8@ ACB0 = D FE A 3 576 3 wf ImG Oc G H L¶ 3 H G < ] W =S @ k\DAjWCW 3 Bj6d6 3 Ò ï D76= 3 D:W0A 3
(120) 6 G ce kBCÄ>njdD W =
(121) ¢WC= 3 ] BjDÂ 7WX6oÐ G$ð D7
(122) =6;k8D f V ] WU67 7k I
(123) G 3 G D 7W D7FBjDDS¤ 3 v 3 7
(124) V6 8 BC AjJA JD 3 5 = 3 bBjDD768
(125)
(126)
(127) 68k =
(128) 6 3 nC}WX =T+A Bj= ÍO> 1 Bj =k fU ImG O¹cñ G Lp 3 G 6 G ] RÄWU = GòZ \RY
(129)
(130) =
(131) V 3
(132) WX6 7k I D
(133) 6 3 Bj6 ]
(134) VW0= ióMôSõÂ 3 G OWU =d A0UD FE A 3 576 3 i ]
(135) VWC= b
(136)
(137) =
(138) V 3
(139) _= ö.
(140) =8 3 } ] fU ImG O_c÷FLp I 6 H G Lø 3 H G Ownj o ]
(141) VWC= 3
(142) 1 Bj =7k
(143) 6 3 B o
(144)
(145) =
(146) V 3
(147) {WX6 7k I gD Em
(148)
(149) 6=» 3 W = 3
(150) 3 6 3 = JJA 3 J wWX =n¢¡ ] T+A0 3 BCU
(151) VWC=}6 3 k Bj6;kwgD6
(152) 3 68k D7 }gDU 3 68k D7} O> & f _ ] D WC=8 7k BC ?8ù A D w. L ¶ D7J G G Ã. nj}k D78bWX = G cÎ ú ^ û H 6V .E
(153).
(154) 6= dv 3 7
(155) 6}Y6V E.
(156).
(157) 6= @ \ 3
(158) J= WX =W = \WC= 3 Bj 3 Bj6D7J ^ X BC = 3 5 D7+ j
(159) = 6k A 3CbE. 87JDg BCjWC=g87 7k Ó mI G OÂnC£BC =g
(160) 6: 3 6£
(161) = 7D 6= 6 WU =dA 3C 6
(162) 3
(163) RU>njw X
(164) = 6k VWX6 3 3 BC6_D 6 3 BC7 576 3 Ó OcÎ D J= v06 BCDD _E A 3 576 3 ? 2ö3 T+A 3 W0A 3 D 3 J 3
(165) ^ Ó ImG Oc. ®:DJ I ®L;O ®. H ] W = DD7D _ DgD Fh
(166)
(167)
(168) =>}BjD ü£iÃüT+A Bj= 3
(169) ú w ] DS¤ 3
(170) J= 3 B R¸T+AC 3 BC
(171) =
(172) B0
(173) = 6k =»WX = 1 Bj =7k BjDD /Ó ImG O ( ] A 3 T+A 3 G =g ACD7 ¹Ó L ImG O¸cýf ImG O¸c G DJ ImG L¯;O¸c÷ &E A 3 576 3 Vf ImG O 8 D76J =7 V6
(174) = D
(175) 6jRÂnj¹ k ¦ L¸þWX = G¿¥ R 3C3 ACDD WX = G cÉ:R&k ¦ }ÿWU = G¶¥ }ÿ8 3 6 3
(176) = DQ= V6WX6 7 7k6BjDDS¤WU = h 6D lUImG O¸c ^ 3 A 3 W0A 3
(177) 68
(178) 6D76 I BC g >nC = V 3
(179) Z : O ^ ]
(180) 68 h gD7b i A ªÏ>}NO>R0}WX =n¢¡ ?8@ BCg
(181) ^ Ô ] î ] ]
(182) 68 h gD7 \ R X W. = ¢ n i ¡ D. j A 8 6 V \ 6 C B C A D 6 _ J J 76=
(183) 6¹B ^ R0nj i @ Ô ] k = ú ?8ù A D w G ~ bL G .
(184) Õ OÄ6 3 k = J h O¢B07k = J } &Vh O>CD ;O ] Aj=>B ] k = ú ? ù A D7 }. ;OÄBCk = J L¸¯. H a. G bL G. G c. O h OÄ OÄB07k = J } ; B$OL ] h0 JD &Vh O I 1 D 6D O>0D U B O ] Aj=>B C R D ;O w ] BC7= bBjDgDS¤ 3
(185) J= 7D ? ´ 6 XW$A 68 ~ G û  3 G G ú G G OÄ6 3 k = J h O¢B07k = J } ;O¢6 gDD B$O¢B07WX 3 BjB G ]< k = D 8 OdWX =n¢¡ DDS¤ 3 v 3 7
(186) 6VDS¤ 3
(187) J= 3 B & 6VWX6= 6 V ^ 1 ;O wD B$O¢
(188) 6 3 68W D7
(189) V 3
(190) AC=Bj ? <
(191) bv 3 7
(192) 6VDS¤ 3
(193) J= D7 . ~ GÂImG e;O. G. ú. H @ ] î R&WX =>n¡ DgDS¤ 3 v 3 7
(194) 6oD ¦E A 3 576 3 3
(195) J= 3 B k { {BjD 6 3 Bj66=>BC 3 I 6V ^ O> Ò AC
(196) k\ R
(197)
(198) 3 576 3 ÂT:A 3 Bj6£ +6VWX6 3 D ¸E A 3 576 3 3
(199) J= 3 B 3 6 3 WX6
(200) 6 3 6d
(201) = 3
(202) = h WX6 7k: 3}E =
(203) +
(204) VW0Dg BjD 7WX6 ^ ^ R Ê È ¡ 3
(205) = h 3 J 7k\ÍO>R D
(206) =V 3 D78W0=87 k_>njt
(207) 6 3 6{BjD6J =7 8SR 3 6 3 I3 t n 303 6D 7
(208) Vv 3 7
(209) 6j @ ¹ 3 k¹A 3 6Bj6: Ì 7 3 ] 3 J 7k6jR
(210) =
(211) BjD D76J =>7 V68BC·A 3 T+Aj65 3
(212) û ?VÒ = 6k =wT+A 3 5 =>·n D FE A 3 576 3 wf ImG Oc G LÙÃ G H LN G N+ &oE A 3 576 3 F
(213) 3 BC L¸ WX = G/¥ L¸ V
(214) 3 Bj } WX = G¿¥ }eR1 T:AC 3 B0SR B D 6 3 3 AC7 ] R\ g
(215)
(216) DgV 3 6iA 3 W0A 3
(217) 6F 3 AC0k D7\ 1 Bj =7k ] fU ImG Oc G H Lb G L_ic ImG t;O ImG LOQ>nj 3C3 ACDD 3 BCAjW0A 3 SR>nj WC=> Y
(218) 6 3 6}A 3 86 3 G cÎL}ÄdA 3 3 V6 3 G cyb: 2 Dj D6D6}BjDD ¸E A 3 576 3 3 DUBCAj£W0A 3 0WX6= _ DD 6 3 DAC76 3 ¸>nj 3 DUW0A 3
(219) 6iBCU V6_= D 7k6FD ] WU67 7k RV 3
(220) = 3 D\W0A 3
(221) 6}BCj8 3 V6£= D 7k6 ] 3 J 7k R+T:AC 3 BC E A 3 576 3 W0A 3 3 A0D ¦E A 3 576 3 3C3 ACDD
(222) 6 3 6
(223) = VA 3 6 3
(224)
(225) = BCD V6jR A 3 6V
(226) = DX V6VwD 3 V6jR:wDªØA0D7 V6 Bj
(227)
(228) = BjD8 3 V6j ? 1VE A 3 576 3 f ImG Oc. G H . G . Õ \Ï. G{Z. . = W0WC=
(229) 3 D
(230) ÞMÜâãÞ¦âãÞâãåáÇ£BjDD WC= 6\BCAj576 3 }B01A 3C = 8 =RU 3oE A 3 576 3 BjDgD T+A 3 7 ] G WC= 6\Bj6
(231) ] B
(232) 6 B 2 D
(233) ÞÜÛâãÞ Ç ÅßSÞbWX =A 3 7 ] BCXWC= 6\Bj6
(234)
(235) 6 w lUImG Oc. f ImG O c G. G £ . Õ G.
(236) Ò = 6k =wD8 3 V6FBCX D7 E A 3 576 3 2 D
(237) =>8 3 3 6
(238) 6WU6
(239) = hCh Q= WCWC=
(240) 3 = DS Ì
(241)
(242) 6BjDD76\ D7Rnj 3 6 3 BC7WX 3 Bj ]A ACDÂ6
(243)
(244) 6 B DD T+A 3 7 ] B0V =VWC= 6\Bj6
(245) R·8>njV6;k:k\ V 3
(246) 3 BC_BCÂW$ [ 3 3 VBC76¯
(247) _WC= 6\BCACÙWX6\6j D7
(248) = W =
(249) R_
(250) BC6: FA.
(251) =8 3 ¿>njk ] 6 3 k 3 7 3
(252) YWC= 6\BCAj= =
(253) = 6WCWX6j 2 D:8 3 86 DDS¤ 3 v 3 7
(254) 6dBjD:
(255) 6 3 Bj66=B0 3 R 3 6 3 Y a
(256) a a
(257) a
(258) = 6k WX = l ImG O¢c L ^ c¹L ¥ G H c Õ B A0SRC
(259) 3 Bj6 G(Z ³ n G c\ ? V6
(260)
(261) = = }nj º F º ]
(262) VWC=R:¸T:AC 3 BCjgDj
(263) 6= 243CEm
(264). $D Bj =>7k j B D0
(265) 3 6 ] DC6
(266) 3 6jRj>nj ] AjJA D7 D\60ÖWX =ÂT+A DnjÄÖÛ6WCWX6= A 3 6j BC & J= 3 J AC= >njÄ D E = 57 6 3 Y ^ c a I ® H LÙ6 G L/µjO G Bj
(267) =>8 3C = _WX =£T:A D ?t D E A 3 576 3 Ó ImG Od k D76=>BCµ n Bj1 $96¹8 3 g80=D 7k\S 1 Bj =7k ] Ó ImG Oc G H Lo6 G Loµ$jDS¤ 3
(268) =
(269) 576 3 ¸Bj0J= v0 $86
(270)
(271) = nj D W = h 6D lUImG Oc G H 3
(272) =
(273) D E A 3 576 3 ImG Oc¯6 G ¦µV 3 BCAjYW$A 3 \WX = ] 3
(274) =
(275) 576 3 bWX =dµ Z L}}D VÓ µ LwRjw 3 A 3 W0A 3
(276) 6VWX =dµFc°L}R 3 6 3 k\ w = ACD WX6 7 7k P =}µocrF Qn A 3{
(277) 66=75 5 6 3 D7FFWX =£ µ òF Qn 3C3 6 BCAjVW0A 3 3 D Bj =7k 303 ACDgD R·njt6= =
(278) WX6 3 BC6 3 6 BÙA 3 V6o B¦A 3 8 3 V6j 7 6kB ] î Ã \ <
(279) = 576 3 } 3 WC= W = 576 3 }BCDD _2 2 WC= 6;k W = 5 D7 .
(280)
Documenti correlati
[r]
[r]
[r]
Calcolare l’area del triangolo di vertici V, P,
Università degli Studi di Trento Corso di Laurea in
Se i tre punti sono sulla semiretta verticale con origine sull’asse x la funzione d coincide con la distanza euclidea ristretta ai punti della semiretta (la cosa ` e ovvia
Quindi la quartica affine (e lo stesso vale per la sua chiusura proiettiva) hanno un unico punto singolare (rispettivamente (0, 0) e [1, 0, 0]). Le tangenti principali in P = (0, 0)
Operiamo delle manipolazioni algebriche sul polinomio che definisce C per ridurre a forma canonica la conica.. Questi sono tutti e soli gli aperti non vuoti