Direct mune nzvimbo

The ruramisirai rwokuyera nzvimbo imwe inokosha zvitarisiko mu geometry. Inoitwa isingaperi yakatarwa kushandisa zvinhu, izvo havana vhoriyamu, nharaunda, urefu, uye zvimwe unhu. Izvi razero-dimensional zvinhu zvakare dzinokosha zvitarisiko uye geometry aitaura pfungwa.

Line ari nzvimbo rakafanana nerakaitwa pamusoro iripo pamusoro. Tichibatsirwa yokufungidzira inofanira pamwe Dots maviri. Pakati pavo, uyewo avo pakunogumira kusaverengeka pamwechete nomubati akabata mutsetse. Ichi achirurama mutsetse ari muchadenga. unogona kunan'anura mutsetse kana pfungwa mumutsetse. Zviito izvi dzakafanana zviito anoitwa mundege.

The geometry axioms zviripo anoenderana Pakusarudza achirurama mutsetse. Izvi zvinosanganisira zvinotevera mashoko:

1. Two anyatsoona pfungwa dzinogona kuitwa chete chete mutsetse.

2. Pane zviitiko apo vaviri kuroora Pixel mitsetse vari imwe ndege. Ipapo tinogona kutaura kuti pane zvose razero-dimensional zvinhu zvakananga.

With axioms izvi zvinova pachena mashoko achirurama mutsetse ari muchadenga nhema zvachose mune imwe ndege.

The geometry anoonekwa imwe nyaya. It unowanikwa ezvinhu apo pane mutsetse muchadenga somugumisiro kuyambuka ndege mbiri dzakasiyana. Panyaya iyi, mashoko ichokwadi: Kana zvakasiyana ndege mbiri dzinenge imwe nguva zvakafanana, ipapo vane zvakafanana mutsetse. On line ichi, uye vose zvakafanana razero-dimensional vanovengwa izvi geometric zvitarisiko.

The yakawiriranwa urongwa kururamisa mitsetse vari muchadenga kunogona kuva nzira yakasiyana. In munhu dzenguva, vanogona kunge zvakafanana. Kureva, ari musimboti ichi, mumwe muzvizhinji husingagumi mitsetse dzinowanikwa pfungwa.

Line muchadenga kunogona kuva imwe zvakafanana. In musimboti ichi, kuti mashoko mitsetse vari imwe ndege yaiva zvitatu ndeiya yakaita nzvimbo. Izvi nyaya kunotungamirira kunzwisisa yorusvingo kwakaita pakati pemitsara.

Zvinowanikwa iri nzvimbo uye anogona kutungamirira dzakafanana. Pakadaro, vari chete ndege kumarudzi kureba kwayo regai bindepinde.
On yakarurama uye yakafanana mutsetse nonzero Vector achava muperekedzi wake. Izvi geometric pfungwa rinowanzoshandiswa matambudziko akasiyana-siyana. Tichibatsirwa ari Vector anogona kuona mirayiridzo yacho mutsetse.
Lines kunogonawo kuva skew. Muchiitiko chino, vari akarongwa ndege siyana. Izvi musiyano wezvinyorwa urongwa inotisvitsa pfungwa geometric angled kuti riri pakati skew mitsetse. Cherechedzai wavhomorwa inozviitira nyaya perpendicular kuti mutsetse nzvimbo mu-dimensional matatu nzvimbo. In embodiments zvakadaro, pakona pakati pavo kukosha zvakaenzana mapfumbamwe inegumi.

Bvunza rwokuyera nzvimbo zvinogoneka pachishandiswa dzakasiyana. Kuita zviito izvi zvichabatsira ruzivo axioms. Zvichienderana nokuti vaviri anyatsoona pfungwa muchadenga anogona kutora mutsetse mumwe chete, tinogona kuratidza nayo, tara mutsetse kuburikidza chawakaronga razero-dimensional zvinhu.

Kana uchida kuvaka geometric ndeuke iri rinoronga ezvinhu ari rectangular mhando, riri mu-dimensional matatu nzvimbo, ipapo mukana wokuti vanhu vanga riri kunyorwa. Kana kuisa pasi mutsetse anofanira kuvimba Coordonatele mbiri yayo pfungwa, izvo zvinofanira kuzivikanwa.

In pakuvaka anodiwa kuwedzera anogona kushandisa theorem no kuti parallelism. Muchiitiko chino, pashure imwe pfungwa, izvo zvisiri mutsetse yedu, nguva dzose tinogona kuvaka geometric mufananidzo, izvo zvose razero-dimensional zvinhu zvichaita chete oga.

Ndege uye yakarurama mutsetse ari muchadenga kunogonawo kuva perpendicular. Gadzirisa mutsetse iyi, munhu geometric nhamba. Saka pakona kuti mharadzano edzinza kwakadaro uye ndege ndiyo madhigirii 90.