Lub tswv yim tseem ceeb ntawm qhov tsis yog-Euclidean geometry yog qhov nws tau qhia meej txog kev sib raug zoo ntawm lej, kev tshawb fawb thiab kev soj ntsuam… uas dhau los ua txoj hauv kev rau Einstein's General Theory of Relativity.
Vim li cas Euclidean geometry tseem ceeb?
Txawm hais tias nws muaj keeb kwm yav dhau los, nws tseem yog ib qho tseem ceeb tshaj plaws hauv kev ua lej. Nws ua kom ib qho los suav qhov kev ncua deb lossis, qhov tseem ceeb dua, txhawm rau txheeb xyuas qhov kev ncua deb ntawm cov xwm txheej dav dav dua li theem pib geometry. Piv txwv li, nws tau raug generalized rau multidimensional vector spaces.
Vim li cas koj xav tias hyperbolic geometry tseem ceeb heev rau kev kawm?
Kev kawm ntawm hyperbolic geometry pab peb tshem tawm ntawm peb cov duab txhais lus los ntawm kev muab peb lub ntiaj teb uas cov duab hloov pauv tag nrho - tseem lub ntsiab lus tseeb ntawm cov lus siv nyob rau hauv txhua lub ntsiab lus tseem tsis hloov. hyperbolic geometry pab peb tsom mus rau qhov tseem ceeb ntawm cov lus.
Dab tsi yog qhov txawv ntawm Euclidean geometry thiab non-Euclidean geometry?
Qhov sib txawv tseem ceeb ntawm Euclidean geometry thiab ob qhov tsis yog Euclidean geometry yog qhov xwm txheej ntawm kab sib npaug: Hauv Euclidean geometry, muab ib qho taw tes thiab ib kab, muaj raws nraim ib kab dhau ntawm qhov taw tes uas nyob hauv tib lub dav hlau raws li kab uas tau muab thiab yeej tsis sib tshuam.
Kuv kawm dab tsi txog Euclidean thiab tsis yog-Euclidean geometry?
Thaum Euclidean geometry nrhiav kom nkag siab txog geometry ntawm tiaj tus, ob sab qhov chaw, tsis yog Euclidean geometry kev kawm nkhaus, es tsis yog tiaj tus, nto Txawm hais tias Euclidean geometry muaj txiaj ntsig zoo hauv ntau qhov chaw, qee zaum, tsis yog Euclidean geometry tej zaum yuav muaj txiaj ntsig zoo dua.
