Xov xwm thiab Society, Xwm
Yuav ua li cas yog lub hauv paus teeb?
Nws yuav tsum tau hais tias lub tswvyim ntawm qhov chaw tsis muaj nyob rau hauv Euclidean geometry. Nyob rau hauv lub thib kaum ib phau ntawv nyob rau hauv peb caug yim proposals yog lub ntsiab txhais ntawm lub spatial symmetry axis. qhov chaw ntawm lub tswvyim xub tshwm sim nyob rau hauv lub xyoo pua 16th.
Lub hauv paus symmetry tam sim no nyob rau hauv xws zoo-paub rau tag nrho cov nuj nqis, xws li ib lub voj voog thiab ib tug parallelogram. Thiab tus thawj thiab tus thib ob qhov chaw ntawm lub daim duab ib tug. Qhov chaw ntawm symmetry ntawm lub parallelogram yog muab tso rau ntawm cov kev tshuam ntawm cov kab tawm los ntawm opposite ntsiab lus; nyob rau hauv ib lub voj voog - yog qhov chaw rau nws. Yuav kom ncaj yog yus muaj los ntawm ib tug infinite tooj ntawm tej chaw. Txhua point tej zaum yuav ib tug nruab nrab ntawm symmetry. Nyob rau hauv lub thawv muaj yog ib tug ncaj cuaj dav hlau. Ntawm tag nrho peb symmetrical dav hlau perpendicular mus rau lub ntug. Tus lwm yam rau pass los ntawm cov kab pheeb ces kaum npoo. Txawm li cas los, muaj ib daim duab uas tsis muaj ib tug. Nws yog ib qho arbitrary daim duab peb sab.
Lub duas cov ces kaum ntawm ob halves ntawm daim duab, nyob rau hauv uas muaj ib tug central symmetry kuj sib npaug zos. Ob tug cov nuj nqis dag rau ob tog ntawm lub chaw taw tes, nyob rau hauv cov ntaub ntawv no, yuav tsum superimposed on txhua lwm yam. Txawm li cas los, nws yuav tsum tau hais tias daim ntawv thov yog nqa tawm nyob rau hauv ib tug tshwj xeeb txoj kev. Tsis zoo li daim iav, ib tug central symmetry assumes txoj kev sib hloov ntawm ib feem ntawm lub cev ib puas yim caum degrees nyob ib ncig ntawm qhov chaw. Yog li, ib feem npuav txoj hauj lwm txheeb ze mus rau lub thib ob daim iav. Ob tug ntawm daim duab yuav li raug rau txhua lwm yam, outputting los ntawm cov dav hlau.
Nyob rau hauv algebra izuchenin khib thiab txawm zog nqa tawm siv lub graphs. Rau ib tug txawm muaj nuj nqi teeb yuav ua lub tsev symmetrically nrog hwm rau tswj axes. Rau khib - nyob rau hauv kev sib raug zoo mus rau lub point ntawm keeb kwm, uas yog O. Yog li, rau cov khib muaj nuj nqi yog xam qhovkev nyob rau hauv central symmetry, thiab rau lub txawm - axis.
Lub hauv paus symmetry implies hais tias ib tug dav hlau daim duab axis ntawm symmetry ntawm kev txiav txim ob. Nyob rau hauv cov ntaub ntawv no, lub axis yuav pw perpendicular mus rau lub dav hlau.
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