nbUfnbujljt !txbwmfcb!!WJJ!lmbtTj! - Ganatleba

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es asea, magram saamisod ramdenad saWiroa mTeli Teoriis ageba?
Cveneul gaerTianebul kursSi geometriis wili gacilebiT metia,
vidre amJamad arsebul sxva kursebSi. Tanac, es iwyeba pirvelive
klasidan, romlis programis ramdenime siaxleTagan erTerTi
swored geometriis mkveTri gaZlierebaa (logikasTan erTad).
saxelganTqmuli maTematikosi, akademikosi v. arnoldi abstraqtul-formalistur
midgomas saskolo geometriisadmi moixseniebs
`sqolastikuri tvinisWyletis~ saxeliT, romelic namdvili
`kiseliovuri~ maTematikuri codnis mospobas cdilobs! (ruseTSi
ukve arsebiTadaa Secvlili geometriis kursi, xolo
inglisSi _ da dasavleTis TiTqmis yvela saxelmwifoSi asea _
60-iani wlebis Semdeg aRar yofila geometriis aqsiomatikuri
swavleba, mravali Teoremis grZel-grZeli damtkicebebiT).
TavisTavad, geometriac logikasa da simravleTa Teoriaze
(topologiasTan erTad) gvaqvs dafuZnebuli. geometriis swavlebaSi
ramdenime safexuri gamoikvTeba:
I-IV klasebSi vaswavliT mraval geometriul cnebas: kubi,
kvadrati, marTkuTxedi, wre, wertili, monakveTi, texili, mrudi,
samkuTxedi, oTxkuTxedi, xuTkuTxedi, ... , mravalkuTxedi, misi
gverdi, waxnagi, wibo, wvero da sxva. magram TiTqmis yovelTvis
gansazRvrebaTa gareSe vaswavliT. ganisazRvreba mxolod is cnebebi,
romlebic eqvemdebareba advil, da rac mTavaria, TvalsaCino
gansazRvrebas (magaliTad, texili, Siga are, sazRvari da sxva).
swavlebis sayrdenia uSualo TvalsaCino Cveneba, xatovani warmodgena
da moswavlis mier mravali geometriuli amocanis amoxsna.
maT Soris mTavaria mravalferovani amocanebi xazvaze, romel-
Ta Sesrulebisas moswavle sakuTari xeliT xazavs nakvTebs.
V-VI klasebSi iwyeba mcire Teoria, ganisazRvreba ramdenime
mniSvnelovani geometriuli cneba (magaliTad, wre da wrexazi).
safuZvlianad iswavleba farTobisa da moculobis cnebebi da
gazomva, simetria. planimetriis paralelurad stereometriac
muSavdeba: sfero, birTvi, cilindri, kubi, aguredi (marTkuTxa