Definition 1. Ib qho kev txav ntawm lub dav hlau (los yog ib qho isometry) yog ib qho kev txav uas khaws kev deb.
Dab tsi yog qhov txawv ntawm isometry thiab rigid motion?
Ib qho isometry yog qhov kev hloov pauv uas khaws cia qhov kev ncua deb ntawm cov vertices ntawm cov duab. … Daim duab tshwm sim yog sib haum rau tus thawj daim duab. Lub zog nruj yog thaum ib qho khoom txav los ntawm ib qho chaw mus rau lwm qhov thiab qhov loj thiab cov duab ntawm cov khoom muaj tsis hloov.
Yuav ua li cas nruj nreem nyob rau hauv?
Txoj kev txav txav tshwm sim hauv geometry thaum ib yam khoom txav tab sis tuav nws cov duab thiab qhov loj me, uas tsis zoo li cov lus tsa suab tsis nruj, xws li dilations, uas qhov khoom loj hloov pauv. Txhua qhov kev txav txav nruj pib nrog cov khoom qub, hu ua daim duab ua ntej, thiab ua rau cov khoom hloov pauv, hu ua daim duab.
Kev hloov pauv twg yog qhov isometry?
Ib qho kev hloov pauv isometric (lossis isometry) yog qhov kev hloov pauv uas khaws cia (tsiv) hauv lub dav hlau lossis hauv qhov chaw. Cov kev hloov pauv isometric yog kev xav, kev sib hloov thiab kev txhais lus thiab kev sib txuasntawm lawv xws li glide, uas yog kev sib txuas ntawm kev txhais lus thiab kev xav.
Peb hom isometry yog dab tsi?
Muaj ntau txoj hauv kev los txav cov duab ob sab nyob ib ncig ntawm lub dav hlau, tab sis tsuas muaj plaub hom isometries ua tau: txhais, xav txog, tig, thiab glide reflection. Cov nokev hloov pauv kuj tseem hu ua rigid motion.
