pitagoras
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#+TITLE: Pakiety matematyczne: amsmath, amsthm, mathtools − prezentacja możliwości
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* Prezentacja podczas zajęć
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W czasie prezentacji należy omówić:
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+ pakiet amsmath − wyrównywania wzorów wystawionych, wielopoziomowe
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indeksy np. w sumach, komenda \operatorname
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+ pakiet amsthm − sposoby ddefiniowania nowych środowisk typu
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twierdzenie, definicja; opcjonalny argument środowiska; polecenie
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\theoremstyle
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+ pakiet mathtools − komenda \smashoperator; otoczenie typu matrix i
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pochodne; komenda \DeclarePairedDelimiter; komenda showonlyrefs
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* Zadanie do wykonania podczas zajęć
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+ Przetestować omówione podczas prezentacji możliwości pakietów na
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przykładzie pliku zajecia03-plik.tex
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entering extended mode
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**./zajecia03-plik.tex
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defining Unicode char U+00C7 (decimal 199)
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defining Unicode char U+00C9 (decimal 201)
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defining Unicode char U+00CA (decimal 202)
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defining Unicode char U+00CB (decimal 203)
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defining Unicode char U+00CC (decimal 204)
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defining Unicode char U+00CD (decimal 205)
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defining Unicode char U+00CE (decimal 206)
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defining Unicode char U+00CF (decimal 207)
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defining Unicode char U+00D0 (decimal 208)
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defining Unicode char U+00D1 (decimal 209)
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defining Unicode char U+00D2 (decimal 210)
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defining Unicode char U+00D3 (decimal 211)
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defining Unicode char U+00D4 (decimal 212)
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defining Unicode char U+00D5 (decimal 213)
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defining Unicode char U+00D6 (decimal 214)
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defining Unicode char U+00D8 (decimal 216)
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defining Unicode char U+00D9 (decimal 217)
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defining Unicode char U+00DE (decimal 222)
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defining Unicode char U+00DF (decimal 223)
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defining Unicode char U+00E0 (decimal 224)
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defining Unicode char U+00E1 (decimal 225)
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defining Unicode char U+00E2 (decimal 226)
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defining Unicode char U+00E3 (decimal 227)
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defining Unicode char U+00E4 (decimal 228)
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defining Unicode char U+00E5 (decimal 229)
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defining Unicode char U+00E6 (decimal 230)
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defining Unicode char U+00E7 (decimal 231)
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defining Unicode char U+00E8 (decimal 232)
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defining Unicode char U+00E9 (decimal 233)
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defining Unicode char U+00EA (decimal 234)
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defining Unicode char U+00EB (decimal 235)
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defining Unicode char U+00EC (decimal 236)
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defining Unicode char U+00ED (decimal 237)
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defining Unicode char U+00EE (decimal 238)
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defining Unicode char U+00EF (decimal 239)
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defining Unicode char U+00F0 (decimal 240)
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defining Unicode char U+00F1 (decimal 241)
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defining Unicode char U+00F2 (decimal 242)
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defining Unicode char U+00F3 (decimal 243)
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defining Unicode char U+00F4 (decimal 244)
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defining Unicode char U+00F5 (decimal 245)
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defining Unicode char U+00F6 (decimal 246)
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defining Unicode char U+00F8 (decimal 248)
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defining Unicode char U+00F9 (decimal 249)
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defining Unicode char U+00FA (decimal 250)
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defining Unicode char U+00FB (decimal 251)
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defining Unicode char U+00FC (decimal 252)
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defining Unicode char U+00FD (decimal 253)
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defining Unicode char U+00FE (decimal 254)
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defining Unicode char U+00FF (decimal 255)
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defining Unicode char U+0102 (decimal 258)
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defining Unicode char U+0103 (decimal 259)
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defining Unicode char U+0104 (decimal 260)
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defining Unicode char U+0105 (decimal 261)
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defining Unicode char U+0106 (decimal 262)
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defining Unicode char U+0107 (decimal 263)
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defining Unicode char U+010C (decimal 268)
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defining Unicode char U+010D (decimal 269)
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defining Unicode char U+010E (decimal 270)
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defining Unicode char U+010F (decimal 271)
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defining Unicode char U+0110 (decimal 272)
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defining Unicode char U+0111 (decimal 273)
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defining Unicode char U+0118 (decimal 280)
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defining Unicode char U+0119 (decimal 281)
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defining Unicode char U+011A (decimal 282)
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defining Unicode char U+011B (decimal 283)
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defining Unicode char U+011E (decimal 286)
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defining Unicode char U+011F (decimal 287)
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defining Unicode char U+0130 (decimal 304)
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defining Unicode char U+0131 (decimal 305)
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defining Unicode char U+0132 (decimal 306)
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defining Unicode char U+0133 (decimal 307)
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defining Unicode char U+0139 (decimal 313)
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defining Unicode char U+013A (decimal 314)
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defining Unicode char U+013D (decimal 317)
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defining Unicode char U+013E (decimal 318)
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defining Unicode char U+0141 (decimal 321)
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defining Unicode char U+0142 (decimal 322)
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defining Unicode char U+0143 (decimal 323)
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defining Unicode char U+0144 (decimal 324)
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defining Unicode char U+0147 (decimal 327)
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defining Unicode char U+0148 (decimal 328)
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defining Unicode char U+014A (decimal 330)
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defining Unicode char U+014B (decimal 331)
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defining Unicode char U+0150 (decimal 336)
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defining Unicode char U+0151 (decimal 337)
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defining Unicode char U+0152 (decimal 338)
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defining Unicode char U+0153 (decimal 339)
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defining Unicode char U+0154 (decimal 340)
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defining Unicode char U+0155 (decimal 341)
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defining Unicode char U+0158 (decimal 344)
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defining Unicode char U+0159 (decimal 345)
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defining Unicode char U+015A (decimal 346)
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defining Unicode char U+015B (decimal 347)
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defining Unicode char U+015E (decimal 350)
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defining Unicode char U+015F (decimal 351)
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defining Unicode char U+0160 (decimal 352)
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defining Unicode char U+0162 (decimal 354)
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defining Unicode char U+0163 (decimal 355)
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defining Unicode char U+0164 (decimal 356)
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defining Unicode char U+0165 (decimal 357)
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defining Unicode char U+016E (decimal 366)
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defining Unicode char U+016F (decimal 367)
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defining Unicode char U+0170 (decimal 368)
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defining Unicode char U+0171 (decimal 369)
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defining Unicode char U+0174 (decimal 372)
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defining Unicode char U+0175 (decimal 373)
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defining Unicode char U+0176 (decimal 374)
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defining Unicode char U+0177 (decimal 375)
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defining Unicode char U+0178 (decimal 376)
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defining Unicode char U+0179 (decimal 377)
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defining Unicode char U+017A (decimal 378)
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defining Unicode char U+017B (decimal 379)
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defining Unicode char U+0218 (decimal 536)
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defining Unicode char U+0219 (decimal 537)
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defining Unicode char U+021A (decimal 538)
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defining Unicode char U+021B (decimal 539)
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defining Unicode char U+200C (decimal 8204)
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defining Unicode char U+2013 (decimal 8211)
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defining Unicode char U+2014 (decimal 8212)
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defining Unicode char U+2018 (decimal 8216)
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defining Unicode char U+2019 (decimal 8217)
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defining Unicode char U+201A (decimal 8218)
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defining Unicode char U+201C (decimal 8220)
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defining Unicode char U+201D (decimal 8221)
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defining Unicode char U+201E (decimal 8222)
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defining Unicode char U+2030 (decimal 8240)
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defining Unicode char U+2031 (decimal 8241)
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defining Unicode char U+2039 (decimal 8249)
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defining Unicode char U+00E6 (decimal 230)
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defining Unicode char U+00EC (decimal 236)
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defining Unicode char U+00ED (decimal 237)
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defining Unicode char U+00EE (decimal 238)
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defining Unicode char U+00EF (decimal 239)
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defining Unicode char U+00F8 (decimal 248)
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defining Unicode char U+0131 (decimal 305)
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defining Unicode char U+0141 (decimal 321)
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defining Unicode char U+0142 (decimal 322)
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defining Unicode char U+0152 (decimal 338)
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defining Unicode char U+0153 (decimal 339)
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defining Unicode char U+0174 (decimal 372)
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defining Unicode char U+0175 (decimal 373)
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defining Unicode char U+0176 (decimal 374)
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defining Unicode char U+0177 (decimal 375)
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defining Unicode char U+0218 (decimal 536)
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defining Unicode char U+0219 (decimal 537)
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defining Unicode char U+021A (decimal 538)
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defining Unicode char U+021B (decimal 539)
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defining Unicode char U+2013 (decimal 8211)
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defining Unicode char U+2014 (decimal 8212)
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defining Unicode char U+2018 (decimal 8216)
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defining Unicode char U+2019 (decimal 8217)
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defining Unicode char U+201C (decimal 8220)
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defining Unicode char U+201D (decimal 8221)
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)
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Now handling font encoding OMS ...
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defining Unicode char U+00B6 (decimal 182)
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defining Unicode char U+2020 (decimal 8224)
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)
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Now handling font encoding OMX ...
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... no UTF-8 mapping file for font encoding OMX
|
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Now handling font encoding U ...
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... no UTF-8 mapping file for font encoding U
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||||
defining Unicode char U+00A9 (decimal 169)
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))
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("e:\Latex\MiKTeX 2.9\tex\latex\polski\polski.sty"
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Package: polski 2008/02/24 v1.3.3 Polish language package
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||||
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Inputenc package detected. Catcodes not changed.
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\l@nohyphenation=\language70
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Switching to Polish text encoding and Polish maths fonts.
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("e:\Latex\MiKTeX 2.9\tex\latex\base\ot4enc.def"
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File: ot4enc.def 2005/09/27 v1.99g Standard LaTeX file
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Now handling font encoding OT4 ...
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... no UTF-8 mapping file for font encoding OT4
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)
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LaTeX Font Info: Try loading font information for OT4+cmr on input line 346.
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||||
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("e:\Latex\MiKTeX 2.9\tex\latex\polski\ot4cmr.fd"
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File: ot4cmr.fd 2008/02/24 v1.2.1 Font defs for fonts PL (MW)
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)
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LaTeX Font Info: Overwriting math alphabet `\mathbf' in version `normal'
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(Font) OT1/cmr/bx/n --> OT4/cmr/bx/n on input line 346.
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(Font) OT1/cmtt/m/n --> OT4/cmtt/m/n on input line 346.
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LaTeX Font Info: Overwriting math alphabet `\mathsf' in version `bold'
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LaTeX Font Info: Encoding `OT1' has changed to `OT4' for symbol font
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(Font) `operators' in the math version `normal' on input line 346.
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LaTeX Font Info: Overwriting symbol font `operators' in version `normal'
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(Font) OT1/cmr/m/n --> OT4/cmr/m/n on input line 346.
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LaTeX Font Info: Overwriting symbol font `letters' in version `normal'
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(Font) OML/cmm/m/it --> OML/plm/m/it on input line 346.
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LaTeX Font Info: Overwriting symbol font `symbols' in version `normal'
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LaTeX Font Info: Overwriting symbol font `largesymbols' in version `normal'
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(Font) OMX/cmex/m/n --> OMX/plex/m/n on input line 346.
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LaTeX Font Info: Encoding `OT1' has changed to `OT4' for symbol font
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(Font) `operators' in the math version `bold' on input line 346.
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LaTeX Font Info: Overwriting symbol font `operators' in version `bold'
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(Font) OT1/cmr/bx/n --> OT4/cmr/bx/n on input line 346.
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LaTeX Font Info: Overwriting symbol font `letters' in version `bold'
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(Font) OML/cmm/b/it --> OML/plm/b/it on input line 346.
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LaTeX Font Info: Overwriting symbol font `symbols' in version `bold'
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(Font) OMS/cmsy/b/n --> OMS/plsy/b/n on input line 346.
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) (zajecia03-plik.aux)
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\openout1 = `zajecia03-plik.aux'.
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LaTeX Font Info: Checking defaults for OML/cmm/m/it on input line 14.
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LaTeX Font Info: ... okay on input line 14.
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LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 14.
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LaTeX Font Info: ... okay on input line 14.
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LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 14.
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LaTeX Font Info: ... okay on input line 14.
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LaTeX Font Info: Checking defaults for OMS/cmsy/m/n on input line 14.
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LaTeX Font Info: ... okay on input line 14.
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LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 14.
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LaTeX Font Info: ... okay on input line 14.
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LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 14.
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LaTeX Font Info: ... okay on input line 14.
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LaTeX Font Info: Checking defaults for OT4/cmr/m/n on input line 14.
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LaTeX Font Info: ... okay on input line 14.
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("e:\Latex\MiKTeX 2.9\tex\latex\graphics\graphicx.sty"
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Package: graphicx 2014/10/28 v1.0g Enhanced LaTeX Graphics (DPC,SPQR)
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Package: graphics 2014/10/28 v1.0p Standard LaTeX Graphics (DPC,SPQR)
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("e:\Latex\MiKTeX 2.9\tex\latex\graphics\trig.sty"
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Package: trig 1999/03/16 v1.09 sin cos tan (DPC)
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)
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File: graphics.cfg 2007/01/18 v1.5 graphics configuration of teTeX/TeXLive
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)
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Package graphics Info: Driver file: pdftex.def on input line 94.
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("e:\Latex\MiKTeX 2.9\tex\latex\pdftex-def\pdftex.def"
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File: pdftex.def 2011/05/27 v0.06d Graphics/color for pdfTeX
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("e:\Latex\MiKTeX 2.9\tex\generic\oberdiek\infwarerr.sty"
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Package: infwarerr 2010/04/08 v1.3 Providing info/warning/error messages (HO)
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)
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Package: ltxcmds 2011/11/09 v1.22 LaTeX kernel commands for general use (HO)
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)
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\Gread@gobject=\count105
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("e:\Latex\MiKTeX 2.9\tex\context\base\supp-pdf.mkii"
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\scratchcounter=\count106
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\scratchdimen=\dimen121
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\scratchbox=\box28
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)))
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)
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LaTeX Font Info: Try loading font information for OML+plm on input line 20.
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("e:\Latex\MiKTeX 2.9\tex\latex\polski\omlplm.fd"
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File: omlplm.fd 2008/02/24 v1.2.1 Font defs for fonts PL (MW)
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)
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LaTeX Font Info: Try loading font information for OMS+plsy on input line 20.
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("e:\Latex\MiKTeX 2.9\tex\latex\polski\omsplsy.fd"
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File: omsplsy.fd 2008/02/24 v1.2.1 Font defs for fonts PL (MW)
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LaTeX Font Info: Try loading font information for OMX+plex on input line 20.
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("e:\Latex\MiKTeX 2.9\tex\latex\polski\omxplex.fd"
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File: omxplex.fd 2008/02/24 v1.2.1 Font defs for fonts PL (MW)
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)
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LaTeX Font Info: External font `plex10' loaded for size
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(Font) <10> on input line 20.
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LaTeX Font Info: External font `plex10' loaded for size
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(Font) <7> on input line 20.
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LaTeX Font Info: External font `plex10' loaded for size
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(Font) <5> on input line 20.
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[1
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{C:/Users/Fingal/AppData/Local/MiKTeX/2.9/pdftex/config/pdftex.map}] (zajecia03
|
||||
-plik.aux) )
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||||
Here is how much of TeX's memory you used:
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2787 strings out of 493634
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36257 string characters out of 3146981
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102325 words of memory out of 3000000
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||||
6149 multiletter control sequences out of 15000+200000
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8355 words of font info for 26 fonts, out of 3000000 for 9000
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1025 hyphenation exceptions out of 8191
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29i,20n,24p,244b,238s stack positions out of 5000i,500n,10000p,200000b,50000s
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{e:/Latex/MiKTeX 2.9/fonts/enc/dvips/pl/plit.enc}{e:/Latex/MiKTeX 2
|
||||
.9/fonts/enc/dvips/pl/plrm.enc}{e:/Latex/MiKTeX 2.9/fonts/enc/dvips/pl/plms.enc
|
||||
}{e:/Latex/MiKTeX 2.9/fonts/enc/dvips/pl/plmi.enc}{e:/Latex/MiKTeX 2.9/fonts/en
|
||||
c/dvips/pl/plsc.enc}{e:/Latex/MiKTeX 2.9/fonts/enc/dvips/pl/plme.enc}<e:/Latex/
|
||||
MiKTeX 2.9/fonts/type1/public/pl/plbx10.pfb><e:/Latex/MiKTeX 2.9/fonts/type1/pu
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||||
blic/pl/plex10.pfb><e:/Latex/MiKTeX 2.9/fonts/type1/public/pl/plmi10.pfb><e:/La
|
||||
tex/MiKTeX 2.9/fonts/type1/public/pl/plmi5.pfb><e:/Latex/MiKTeX 2.9/fonts/type1
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||||
/public/pl/plmi7.pfb><e:/Latex/MiKTeX 2.9/fonts/type1/public/pl/plr10.pfb><e:/L
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||||
atex/MiKTeX 2.9/fonts/type1/public/pl/plr5.pfb><e:/Latex/MiKTeX 2.9/fonts/type1
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/public/pl/plr7.pfb><e:/Latex/MiKTeX 2.9/fonts/type1/public/pl/plsy10.pfb><e:/L
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atex/MiKTeX 2.9/fonts/type1/public/pl/plsy7.pfb><e:/Latex/MiKTeX 2.9/fonts/type
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||||
1/public/pl/plti10.pfb>
|
||||
Output written on zajecia03-plik.pdf (1 page, 69826 bytes).
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||||
PDF statistics:
|
||||
56 PDF objects out of 1000 (max. 8388607)
|
||||
0 named destinations out of 1000 (max. 500000)
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||||
1 words of extra memory for PDF output out of 10000 (max. 10000000)
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|
|
@ -0,0 +1,80 @@
|
|||
\documentclass{beamer}
|
||||
\usepackage{polski}
|
||||
\usepackage[utf8x]{inputenc}
|
||||
\usepackage[T1]{fontenc}
|
||||
\usepackage{amsmath}
|
||||
\usepackage{graphicx}
|
||||
\usepackage{tikz}
|
||||
\title{Dowód twierdzenia Pitagorasa}
|
||||
|
||||
\author{Andrzej Kokosza}
|
||||
|
||||
\begin{document}
|
||||
|
||||
\begin{frame}
|
||||
\titlepage
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||||
\end{frame}
|
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||||
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|
||||
\node at (1.85, 1.85) {c}; \node at (5.15, 1.85) {c}; \node at (5.15,5.15) {c}; \node at (1.85, 5.15) {c};
|
||||
\node at (3.5,3.5) {$c^2$};
|
||||
\end{tikzpicture}
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||||
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|
||||
\node at (2,5) {$a^2$}; \node at (5.5,1.5) {$b^2$};
|
||||
\end{tikzpicture}
|
||||
\end{center}
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||||
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|
||||
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|
||||
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|
||||
\end{tikzpicture}
|
||||
\end{center}
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}
|
||||
\begin{center}
|
||||
\begin{tikzpicture}
|
||||
Oba kwadraty mają to samo pole powierzchni. Zauważmy, że kolorowe trójkąty w obu kwadratach mają tą samo pole powierzchni. Zatem pole białych kwadratów jest takie samo w obu, czyli
|
||||
$$a^2+b^2=c^2$$
|
||||
\end{tikzpicture}
|
||||
\end{center}
|
||||
\end{frame}
|
||||
\end{document}
|
||||
Loading…
Reference in New Issue