Pythagorea
IJiyomethri ku-Gridi Eyisikwele
Funda iJiyomethri ngenkathi udlala ephepheni elingukwele.
> Imisebenzi engama-330+: kusuka ezilula kakhulu kuya kumaphazili wejometri ngempela
> Izifundo ezingama-25+ okufanele uzihlole
> 70+ amagama wejometri kuhlu lwamagama
> Kulula ukuyisebenzisa
> Okubonakalayo kobungani
> Qeqesha ingqondo yakho nomcabango
*** Mayelana ***
I- Pythagorea iqoqo lamaphazili wejometri yohlobo oluhlukile angaxazululwa ngaphandle kokwakhiwa okuyinkimbinkimbi noma ukubala. Zonke izinto zidonswa kugridi enamaseli ayizikwele. Amazinga amaningi angaxazululwa ngokusebenzisa i-geometric intuition yakho noma ngokuthola imithetho yemvelo, ukusebenza njalo, kanye nokulinganisa.
*** Dlala nje ***
Azikho izinsimbi eziyinkimbinkimbi. Ungakha imigqa eqondile nezingxenye kuphela bese usetha amaphuzu ngokuhlangana kwemigqa. Kubukeka kulula kakhulu kepha kwanele ukuhlinzeka ngenani elingapheli lezinkinga ezihehayo nezinselelo ezingalindelekile.
*** Zonke izincazelo kutholakale kalula ***
Uma ukhohlwe incazelo, ungayithola khona manjalo ohlwini lwamagama wohlelo lokusebenza. Ukuthola incazelo yanoma yiliphi igama elisetshenziswa ezimeni zenkinga, vele uthephe enkingeni ye-Info (“i”).
*** Ingabe lo mdlalo wakho? ***
Abasebenzisi be-Euclidea bangathatha umbono ohlukile wokwakha, bathole izindlela ezintsha namaqhinga, futhi bahlole umuzwa wabo wejometri.
Uma usanda kuqala ukujwayelana kwakho nejometry, lo mdlalo uzokusiza uqonde imibono ebalulekile nezakhiwo zejometri ye-Euclidean.
Uma udlule izifundo zeJiyomethri esikhathini esithile esidlule, lo mdlalo uzoba wusizo ukuvuselela futhi uhlole ulwazi lwakho ngoba luhlanganisa iningi lemibono kanye nemibono yejometri yokuqala.
Uma ungekho kuma-geometry amahle, i-Pythagorea izokusiza ukuthola elinye icala lendaba. Sithola izimpendulo eziningi zabasebenzisi uPythagorea no-Euclidea abenze bakwazi ukubona ubuhle nobunjalo bemvelo yokwakhiwa kwejometri futhi baze bathande iJiyomethri.
Futhi ungaphuthelwa ithuba lakho lokujwayeza izingane ngezibalo. I-Pythagorea yindlela enhle yokwenza ubungane ngeJiyomethri futhi uzuze ngokuchitha isikhathi sindawonye.
*** Izihloko eziphambili ***
> Ubude, ibanga, nendawo
> Ukufana kanye nezibonakaliso
> Ama-angles nxantathu
> Ama-lingle kanye nama-perpendicular bisectors, abalamuli, kanye nokuphakama
> I-Pythagorean Theorem
> Imibuthano namathange
> Ama-parallelographs, tikwele, ama-rhombuse, ama-rectangles kanye nama-trapezoid
> Ukuvumelanisa, ukukhombisa, nokujikeleza
*** Kungani iPythagorea ***
UPythagoras weSamos wayengusosazi sefilosofi esingumGrikhi kanye nezibalo. Wayephila ngekhulu le-6 B.C.E. Omunye wamaqiniso wejometri aziwa kakhulu ngegama lakhe: i-Pythagorean Theorem. Ithi kunxantathu ongakwesobunxele indawo yesikwele ese-hypotenuse (uhlangothi olubhekene ne-engela yangakwesokudla) ilingana nesamba sezindawo zezigcawu zezinye izinhlangothi ezimbili. Ngenkathi udlala iPythagorea uvame ukuhlangana nama-angles angakwesokudla futhi uthembele ku-Pythagorean Theorem ukuqhathanisa ubude bezindawo nobanga phakathi kwamaphoyinti. Kungakho lo mdlalo uqanjwe ngePythagoras.
> Imisebenzi engama-330+: kusuka ezilula kakhulu kuya kumaphazili wejometri ngempela
> Izifundo ezingama-25+ okufanele uzihlole
> 70+ amagama wejometri kuhlu lwamagama
> Kulula ukuyisebenzisa
> Okubonakalayo kobungani
> Qeqesha ingqondo yakho nomcabango
*** Mayelana ***
I- Pythagorea iqoqo lamaphazili wejometri yohlobo oluhlukile angaxazululwa ngaphandle kokwakhiwa okuyinkimbinkimbi noma ukubala. Zonke izinto zidonswa kugridi enamaseli ayizikwele. Amazinga amaningi angaxazululwa ngokusebenzisa i-geometric intuition yakho noma ngokuthola imithetho yemvelo, ukusebenza njalo, kanye nokulinganisa.
*** Dlala nje ***
Azikho izinsimbi eziyinkimbinkimbi. Ungakha imigqa eqondile nezingxenye kuphela bese usetha amaphuzu ngokuhlangana kwemigqa. Kubukeka kulula kakhulu kepha kwanele ukuhlinzeka ngenani elingapheli lezinkinga ezihehayo nezinselelo ezingalindelekile.
*** Zonke izincazelo kutholakale kalula ***
Uma ukhohlwe incazelo, ungayithola khona manjalo ohlwini lwamagama wohlelo lokusebenza. Ukuthola incazelo yanoma yiliphi igama elisetshenziswa ezimeni zenkinga, vele uthephe enkingeni ye-Info (“i”).
*** Ingabe lo mdlalo wakho? ***
Abasebenzisi be-Euclidea bangathatha umbono ohlukile wokwakha, bathole izindlela ezintsha namaqhinga, futhi bahlole umuzwa wabo wejometri.
Uma usanda kuqala ukujwayelana kwakho nejometry, lo mdlalo uzokusiza uqonde imibono ebalulekile nezakhiwo zejometri ye-Euclidean.
Uma udlule izifundo zeJiyomethri esikhathini esithile esidlule, lo mdlalo uzoba wusizo ukuvuselela futhi uhlole ulwazi lwakho ngoba luhlanganisa iningi lemibono kanye nemibono yejometri yokuqala.
Uma ungekho kuma-geometry amahle, i-Pythagorea izokusiza ukuthola elinye icala lendaba. Sithola izimpendulo eziningi zabasebenzisi uPythagorea no-Euclidea abenze bakwazi ukubona ubuhle nobunjalo bemvelo yokwakhiwa kwejometri futhi baze bathande iJiyomethri.
Futhi ungaphuthelwa ithuba lakho lokujwayeza izingane ngezibalo. I-Pythagorea yindlela enhle yokwenza ubungane ngeJiyomethri futhi uzuze ngokuchitha isikhathi sindawonye.
*** Izihloko eziphambili ***
> Ubude, ibanga, nendawo
> Ukufana kanye nezibonakaliso
> Ama-angles nxantathu
> Ama-lingle kanye nama-perpendicular bisectors, abalamuli, kanye nokuphakama
> I-Pythagorean Theorem
> Imibuthano namathange
> Ama-parallelographs, tikwele, ama-rhombuse, ama-rectangles kanye nama-trapezoid
> Ukuvumelanisa, ukukhombisa, nokujikeleza
*** Kungani iPythagorea ***
UPythagoras weSamos wayengusosazi sefilosofi esingumGrikhi kanye nezibalo. Wayephila ngekhulu le-6 B.C.E. Omunye wamaqiniso wejometri aziwa kakhulu ngegama lakhe: i-Pythagorean Theorem. Ithi kunxantathu ongakwesobunxele indawo yesikwele ese-hypotenuse (uhlangothi olubhekene ne-engela yangakwesokudla) ilingana nesamba sezindawo zezigcawu zezinye izinhlangothi ezimbili. Ngenkathi udlala iPythagorea uvame ukuhlangana nama-angles angakwesokudla futhi uthembele ku-Pythagorean Theorem ukuqhathanisa ubude bezindawo nobanga phakathi kwamaphoyinti. Kungakho lo mdlalo uqanjwe ngePythagoras.
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v2.18
• Supported Hebrew, Italian and Hungarian languages. Thanks to Roy Maor, Simone Antonetti and Vaszil Levente!
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