Comment. Los ntawm txoj kev cov kev hloov pauv no cuam tshuam rau kev hloov pauv peb pom tias kev txhais lus ib txwm khaws cia nrug. Yog li cov no yog cov isometrics tiag tiag. Rau dilatations r=± 1 yuav tawm isometrics.
Puas Isometrics khaws cov ces kaum?
Nyob hauv Euclidean geometry, txhua qhov kev ncua deb-preserving map (isometry) kuj khaws cov ces kaum ntawm ob vectors.
Puas isometry khaws cia loj?
Ib qho isometry yuav tsis hloov qhov loj lossis cov duab ntawm daim duab. Kuv tuaj yeem hais qhov no ua lus lej ntau dua. Daim duab ntawm ib qho khoom nyob rau hauv isometry yog ib qho khoom sib xws. Ib qho isometry yuav tsis cuam tshuam rau collinearity ntawm cov ntsiab lus, thiab nws yuav tsis cuam tshuam qhov chaw txheeb ze ntawm cov ntsiab lus.
Puas txhais khaws cia nrug deb?
Kev sib hloov, kev txhais lus, thiab kev xav yog kev ncua deb ntawm kev hloov pauv ntawm lub dav hlau vim tias rau ob lub ntsiab lus sib txawv thiab hauv dav hlau, yog tias yog kev sib hloov, kev txhais lus, lossis xav txog qhov ntawd maps thiab,.
Puas isometry ib txwm khaws kev deb?
Nyob rau hauv lej, ib qho isometry (los yog congruence, los yog congruent transformation) yog ib tug ncig-preserving transformation ntawm metric spaces, feem ntau xav tias yog bijective.
