Euclid txhais ib kab li cas?
Euclid txhais ib kab li cas?

Video: Euclid txhais ib kab li cas?

Video: Euclid txhais ib kab li cas?
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Thaum geometry thawj zaug formalized los ntawm Euclid hauv cov Elements, nws txhais ib tug general kab (ncaj los yog nkhaus) ua "breadthless length" nrog ib tug ncaj kab ua a kab "uas lies sib npaug nrog cov ntsiab lus ntawm nws tus kheej". Hauv ob qhov loj me, i.e., lub Euclidean dav hlau, ob kab uas ua tsis sib tshuam yog hu ua parallel.

Tom qab ntawd, ib tug kuj yuav nug, dab tsi yog lub ntsiab lus ntawm Euclid?

Euclid , ib fl. 300 BC, tseem hu ua Euclid ntawm Alexandria, yog ib tug Greek lej, feem ntau hu ua "Leej Txiv ntawm Geometry". " Euclid "yog lub anglicized version ntawm Greek lub npe Ε?κλείδης, lub ntsiab lus "Zoo Siab Kawg".

Ib yam li ntawd, koj txhais kab li cas? A kab txhais tau tias yog a kab ntawm cov ntsiab lus uas nthuav infinitely nyob rau hauv ob txoj kev. Nws muaj ib qhov ntev, ntev. Cov ntsiab lus uas nyob rau tib yam kab hu ua collinear point. A kab yog txhais los ntawm ob lub ntsiab lus thiab yog sau raws li qhia hauv qab no nrog ib tug xub taub hau.

Kuj nug, dab tsi yog lub ntsiab lus ntawm kab hauv lej?

A kab yog ib tug ncaj ib-dimensional daim duab uas tsis muaj thickness thiab extending infinitely nyob rau hauv ob qho tib si cov lus qhia. A kab qee zaum hu ua ncaj kab los yog, ntau archaically, ib txoj cai kab (Casey 1893), kom qhia meej tias nws tsis muaj "wiggles" nyob qhov twg raws nws qhov ntev.

Kab thiab hom kab yog dab tsi?

Muaj plaub hom kab : kab rov tav kab , ntsug kab , perpendicular, thiab parallel kab . Lawv raug txhais raws li lawv txoj kev taw qhia, thiab cov ces kaum yog tias muaj, tsim ntawm lawv. Cia wb mus saib lawv ib leeg.

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