Nyob hauv geometry, Euclidean dav hlau isometry yog ib qho isometry ntawm Euclidean dav hlau, los yog ntau tshaj, ib txoj hauv kev hloov lub dav hlau uas khaws cov khoom geometrical xws li ntev. … Cov txheej ntawm Euclidean dav hlau isometrics tsim ib pab pawg nyob rau hauv muaj pes tsawg leeg: pawg Euclidean nyob rau hauv ob qhov ntev.
3 hom isometric 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 kev hloov pauv no tseem hu ua rigid motion.
Isometry hauv lej yog dab tsi?
Ib daim ntawv qhia bijective nruab nrab ntawm ob qhov chaw metrics uas khaws kev deb, piv txwv li, daim ntawv qhia nyob qhov twg thiab. yog qhov kev ncua deb. Isometeries qee zaum kuj hu ua congruence transformations.
Kev hloov pauv thiab isometric yog dab tsi?
A kev hloov pauv hloov qhov loj, zoo li, lossis txoj haujlwm ntawm daim duab thiab tsim ib daim duab tshiab. Kev hloov pauv geometry yog nruj lossis tsis nruj; Lwm lo lus rau ib tug nruj transformation yog "isometry". Ib qho isometry, xws li kev sib hloov, kev txhais lus, lossis kev xav, tsis hloov qhov loj lossis cov duab ntawm daim duab.
Yuav ua li cas yog isometry?
Ib yam zoo isometry yog xws li kev txhais lossis kev sib hloov. Ib qho kev tsis zoo isometry yog ib qho kev xav lossis kev xav ntawm glide [Coxeter, Yaglom]. Ibisometry tej zaum yuav los yog tsis muaj invariant, los yog tsau, teev, i.e., teev S uas txaus siab S=f(S).
