Euclidean geometry tuaj qhov twg?

Cov txheej txheem:

Euclidean geometry tuaj qhov twg?
Euclidean geometry tuaj qhov twg?
Anonim

Euclidean geometry yog ib qho kev ua lej raug ntaus nqi rau Alexandrian Greek lej Euclid, uas nws tau piav qhia hauv nws phau ntawv qhia txog geometry: Cov Ntsiab Lus. Euclid txoj kev muaj nyob rau hauv kev xav tias me me ntawm intuitively txaus siab axioms, thiab deducing ntau lwm yam propositions (theorems) los ntawm cov no.

Euclidean geometry tuaj qhov twg?

Euclidean geometry, kev kawm ntawm dav hlau thiab cov duab khoom ntawm lub hauv paus ntawm axioms thiab theorems ua haujlwm los ntawm Greek lej Euclid (c. 300 bce). Hauv nws cov txheej txheem ntxhib, Euclidean geometry yog lub dav hlau thiab cov duab kos duab uas feem ntau qhia hauv cov tsev kawm ntawv theem nrab.

Leej twg yog lub luag haujlwm rau Euclidean geometry?

Kev ua haujlwm yog Euclid's Elements. Qhov no yog txoj haujlwm uas tau sau cov geometry nyob rau hauv ancient sij hawm. Nws tau sau los ntawm Euclid, uas nyob hauv Greek lub nroog Alexandria hauv tebchaws Iziv ib puag ncig 300BC, qhov chaw nws tau tsim ib lub tsev kawm ntawv lej. Txij li xyoo 1482, muaj ntau tshaj li ib txhiab phau ntawm Euclid's Elements luam tawm.

Euclid tau los ua leej txiv ntawm geometry li cas?

Vim nws txoj haujlwm tseem ceeb hauv lej, nws feem ntau hu ua 'Leej Txiv ntawm Geometry'. … Nws nthuav tawm ntau qhov axioms, lossis qhov chaw ua lej yog li cov pov thawj lawv yuav tsum muaj tseeb, uas tsim lub hauv paus ntawm Euclidean geometry. Cov ntsiab lus tseem tau tshawb nrhiav kev siv geometry los piav qhia cov ntsiab lus ntawm algebra.

Leej txiv yog leej twglej?

Archimedes yog suav tias yog leej txiv ntawm kev ua lej vim nws qhov kev tsim muaj txiaj ntsig zoo hauv kev ua lej thiab kev tshawb fawb. Nws nyob hauv kev pabcuam ntawm Vajntxwv Hiero II ntawm Syracuse. Lub sijhawm ntawd, nws tsim ntau yam kev tsim kho. Archimedes tau tsim lub tshuab rub tawm tsim los pab cov neeg tsav nkoj txav cov khoom nce thiab nqis uas hnyav.

Pom zoo:

Nthuav cov khoom
Puas yog homomorphism tib yam li isomorphism?
Nyeem ntxiv

Puas yog homomorphism tib yam li isomorphism?

Isomorphism yog homomorphism tshwj xeeb. Greek keeb kwm "homo" thiab "morph" ua ke txhais tau tias "zoo tib yam." Muaj ob qhov xwm txheej uas homomorphisms tshwm sim: thaum ib pab pawg yog ib pawg ntawm lwm pawg;

Yuav tau sawv los yog tshwm sim?
Nyeem ntxiv

Yuav tau sawv los yog tshwm sim?

Peb hom tshwm sim yog arise, sawv, arisen. Nws yog siv hauv cov ntsiab lus tseem ceeb: Ib lub sijhawm tshwm sim thiab nws txiav txim siab los ua txoj haujlwm hauv Brussels. Ib qho teeb meem tshwm sim nrog kuv daim ntawv hla tebchaws. Koj siv arose hauv kab lus li cas?

Nyob hauv qab ceg cov leeg nqaij gastrocnemius khoov?
Nyeem ntxiv

Nyob hauv qab ceg cov leeg nqaij gastrocnemius khoov?

Cov leeg nqaij gastrocnemius flexes ko taw ntawm pob qij txha- uas yog nws ua rau taw taw ko taw nqes los ntawm khoov nws ntawm pob taws pob taws, xws li thaum koj sawv ntawm koj. cov ntiv taw. Qhov kev txiav txim no hu ua plantar flexion. Lub gastrocnemius kuj flexes ceg ntawm lub hauv caug sib koom.