Drugi Materijal
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Transcript of Drugi Materijal
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RAVAN
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Ravan
Ravan sa konvergentnim tragovima Ravan sa divergentnim tragovima
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Ravan
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Ravan
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Određivanje tragova ravni koja je zadata sa
dve prave koje se seku
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Određivanje tragova ravni koja je zadata sa dve
paralelne prave
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Ravni u specijalnom položaju
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Ravni u specijalnom položaju- zračne ravni
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Specijalne prave ravni – paralele i naginice
!aralele
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Specijalne prave ravni – paralele i naginice
!aralele
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Specijalne prave ravni – paralele i naginice
!aralele
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Specijalne prave ravni – paralele i naginice
Naginice
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Specijalne prave ravni – paralele i naginice
Naginice
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Specijalne prave ravni – paralele i naginice
Naginice
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Normala na ravan u nekoj njenoj
proizvoljnoj tački
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Ortogonalni nagini triedar
!rvi ortogonalni nagini triedar
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Ortogonalni nagini triedar
"rugi ortogonalni nagini triedar
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Ortogonalni nagini triedar
#re$i ortogonalni nagini triedar
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Određivanje tragova ravni kada je zadata
vektorom položaja
Dat je vektor položaja OA ravni T. Tačka A(1.5, 1, 1.5).
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%eđusoni odnos prave i ravni
Kro tačk! A postaviti
ravan T normalno na
dat! prav! n
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Određivanje preseka dve ravni
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!rodor prave kroz ravan proizvoljnog položaja
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!rodor prave kroz ravan trougla
j j
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a"" a"" a""
a"" a""
!rodor prave kroz ravan koja je zadata sa dve
paralelne prave
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!resek dve ravni – dva trougla
% đ i d i i t lj j
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%eđusoni odnos prave i ravni – postavljanje
ravni kroz tačku paralelno datoj ravni
! t lj j i k l l d j
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!ostavljanje ravni kroz pravu paralelno drugoj
pravi
#slov paralelnosti
ravni sa pravom
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!ostavljanje ravni kroz naginice ravni
! t lj j i k d đ i
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!ostavljanje ravni kroz pravu određenog nagia
prema koordinatnim ravnima
Kro prav! (a) postaviti ravan
pod nagi$om %& stepeni prema'oriontalnii .
! t lj j i k d t
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!ostavljanje ravni kroz datu pravu
normalno na datu ravan
! t lj j i k t čk l d t
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!ostavljanje ravni kroz tačku normalno na date
dve ravni
Kro tačk! A(*+.5, , +.5) postaviti ravan -
normalno na date dve
ravni T(, , +.5) i
R(*.5, 1.5, .5)