no reino dos triangulos

8/8/2019 No Reino Dos Triangulos

http://slidepdf.com/reader/full/no-reino-dos-triangulos 1/29

£ Bndnrxn H~q~n$ 65?5

G` vncg` h`r Xvcægi~d`r




@ q~n xêk nrxorckoingr nk b`k~k0



£ Bndnrxn H~q~n$ 65?5?8xl bngx~vs xvcogi~dov fvchin$ gnov x` Bv`ydogh$ Dcgb`dgrlcvn$ Ivnox Fvcxocg




X`hor nrxor ckoingru`rr~nk ~ko a`vkoin`kãxvcbo q~n ã `

xvcægi~d`'




Xvcægi~d ã̀ o aci~vo in`kãxvcbo q~n `b~uo ` nruoé`cgxnvg` dckcxoh` u`v xvêr dcglor vnbxor q~n b`gb`vvnkh~or o h~or$ nk xvêr u`gx`r hcanvngxnr a`vkogh` xvêrdoh`r n xvêr ægi~d`r cgxnvg`r q~n r`kok?<5µ'

@ q~n râ` Xvcægi~d`r0




@unvëknxvh̀n ~k xvcægi~d` ã o r`ko hor knhchorh`r rn~r doh`r'

Unvcknxv`r h`r Xvcægi~d`r




O ïvno hn ~k xvcægi~d` `fxãk+rn bodb~dogh` o knxohnh` uv`h~x` ho knhcho ho r~o odx~vo undo knhcho ho r~o forn'Orrck$ o ïvno h` xvcægi~d` u`hn rnv bodb~doho undoaòvk~do:

O ; l | f6

l ; odx~vo h` xvcægi~d`f ; knhcho ho forn'

Xvcægi~d` hn Rcnvucgrmc

f

Ïvnor h`r Xvcægi~d`r




@Xvcægi~d` ã ~k u`dëi`g` b`k 2 doh`r'

@ xvcægi~d` ã b`grxcx~ëh` u`v:

U`hnk`r g`knov or knhchor h`r doh`r hn ~kxvcægi~d` b`k dnxvor kcgúrb~dor h` g`rr` odaofnx`'

@r u`gx`r O$ F n B râ` `r ãvxcbnr h` xvcægi~d`

@r rnikngx`r OF$ OB n FB râ` `r doh`r h` xvcægi~d`'

@r ægi~d`r Æ$ F n B râ` `r ægi~d`r cgxnvg`r h` xvcægi~d`'Cghcbo+rn: OFB' Dê+rn: xvcægi~d` OFB'

W W

BWFWOW

F B

O

Ndnkngx`r h`r Xvcægi~d`r




G` xvcægi~d` OFB$ ` doh` ù`rx`:

o

O

F B

fb

N|nkud`: OF n OB râ` `r doh`r ohjobngxnr o` ægi~d` O'

N|nkud` : FB ã ` doh` ù`rx` o` ægi~d` O'

…† ` ãvxcbnO$ ã ` doh` hn knhchoo …† ` ãvxcbnF$ ã ` doh` hn knhchof

…† ` ãvxcbnB$ ã ` doh` hn knhchob

@r doh`r q~n a`vkok ~k ægi~d` cgxnvg` râ`blokoh`r doh`r ohjobngxnr o` ægi~d`

@ xnvbncv` doh` ã blokoh` doh` ù`rx` o` ægi~d`

Ndnkngx`r h`r Xvcægi~d`r




Nq~cdïxnv`: @r xvêr doh`r xêkknhchor ci~ocr

Nrbodng:̀ Xnk `r xvêr doh`r b`kknhchor hcanvngxnr

Cròrbndnr: und` kng`r h`cr doh`r b`kknhchor ci~ocr

Bdorrcacboéâ` h`r Xvcægi~d`rq~ogx` o`r doh`r




Bdorrcacboéâ` h`r ægi~d`r




Ob~xægi~d`: xvêr ægi~d`roi~h`r crx` ã$knhchor | ⇖ 5µ 4 | 4 35µ

Bdorrcacboéâ` h`r xvcægi~d`rq~ogx` o`r ægi~d`r

Vnbxægi~d`: ^k ægi~d` ã vnbx` ⇖ | ; 35µ

|

@fx~rægi~d`: ^k ægi~d` ã `fx~r` ⇖ 35µ 7 | 4 ?<5µ

|




N|nkud` hn xvcægi~d`r

Ob~xægi~d` Vnbxægi~d` @fx~rægi~d`

Nq~cdïxnv` Cròrbndnr Nrbodng`

|

s z




Xvcægi~d` Cròrbndnr

G`r xvcægi~d`r cròrbndnr:

@ doh` gâ`+b`giv~ngxn FB ã hng`kcgoh`forn $ n ` ægi~d` Æ$ `u`rx` å forn ã ` ægi~d` h` qãvxcbn '@r ægi~d`r F n B ho forn râ` b`giv~ngxnr ,ci~ocr#'W W

Bdorrcacboéâ` h`r xvcægi~d`r:uovxcb~dovchohnr




Xvcægi~d` Vnbxægi~d`

Nk x`h` xvcægi~d` vnbxægi~d`:

_~ogh` `r boxnx`r râ` b`giv~ngxnr$ ` xvcægi~d` ã blokoh`xvcægi~d` vnbxægi~d` cròrbndnr'

f ; b

@ doh` `u`rx` o` ægi~d` vnx` hng`kcgo+rnlcu`xng~ro '

@r `~xv`r h`cr doh`r râ` blokoh`r hnboxnx`r'





Xvcægi~d` Nq~cdïxnv`

Nk x`h` xvcægi~d` nq~cdïxnv`:

@r ægi~d`r cgxnvg`r râ` b`giv~ngxnr ,nq~cægi~d`# n bohoægi~d` knhn 15º'





?ª Uv`uvcnhohn: Doh`r hn ~k xvcægi~d`

B`ghcéâ ̀hn n|crxêgbco

U`hnk`r nvcacbov q~n rnkuvn ã u`rrë nd b`grxv~cv ~k xvcægi~d` b`kxvêr rnikngx`r hoh`r$ rn o knhcho hn q~odq~nv ~k hndnr a`v kng`v

q~n o r`ko hor knhchor h`r `~xv`r h`cr'o 4 f - b 1 4 8 - 2

f 4 o - b 8 4 1 - 2

b 4 o - f 2 4 1 - 8

Nk q~odq~nv xvcægi~d`$ o knhcho hn boho doh` ã kng`v q~n o r`kohor knhchor h`r `~xv`r h`cr doh`r'

Uv`uvcnhohnr h`r xvcægi~d`r




6ª Uv`uvcnhohn: Ægi~d`r cgxnvg`r hn ~k xvcægi~d`'

Rn r`kovk`r or knhchor h`r ægi~d`r cgxnvg`r hn q~odq~nv xvcægi~d`$`fxnvnk`r ?<5º'

Nk q~odq~nv xvcægi~d`$ o r`ko hor knhchor h`rægi~d`r cgxnvg`r ã rnkuvn ci~od o?<5º'

Uv`uvcnhohnr h`r xvcægi~d`r




f# Bdorrcacq~n `r xvcægi~d`r q~ogx` o`r doh`r

N|nvbëbc`r




f# Bdorrcacq~n `r xvcægi~d`r q~ogx` o`r ægi~d`r

N|nvbëbc`r

no reino dos triangulos

Documents