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.
plaub nqe lus txhais hauv geometry yog dab tsi?
Muaj plaub yam kev hloov pauv tseem ceeb: kev txhais lus, kev sib hloov, kev xav thiab kev nthuav davCov kev hloov pauv no poob rau ob pawg: kev hloov pauv tsis tu ncua uas tsis hloov cov duab lossis qhov loj ntawm qhov preimage thiab tsis-rigid transformations uas hloov qhov loj tab sis tsis zoo li tus preimage.
Kev txhais lus twg yog isometric?
Peb qhov kev hloov pauv uas tsim nyog raws li isometrics suav nrog txhais, kev sib hloov, thiab kev xav. Ib qho isometry yog ib qho kev hloov pauv uas khaws qhov loj thiab cov duab ntawm daim duab, txhais tau hais tias cov khoom tsuas yog txav mus rau qhov chaw sib txawv, tig, lossis tig mus.
Puas yog kev xav isometric?
Ib qho kev xav yog hu ua rigid transformationlos yog isometry vim cov duab yog tib qhov loj thiab zoo li daim duab ua ntej.
Isometry hauv geometry yog dab tsi?
Isometry ntawm lub dav hlau yog kev hloov pauv kab uas khaws cia ntev Isometric suav nrog kev sib hloov, kev txhais lus, kev xav, glides, thiab daim ntawv qhia tus kheej. Ob daim duab geometric muaj feem cuam tshuam los ntawm ib qho isometry tau hais tias yog geometrically congruent (Coxeter thiab Greitzer 1967, p.