ʻO kēia kumu hanaʻepekema o ka ʻepekema a me ka makemakika ʻano leʻaleʻa ʻano leʻaleʻa maikaʻi a hauʻoli nui i ka poʻe heluhelu ma kahi o 100 mau makahiki.
Hōʻike ia i nā huakaʻi o kahi pākahi, kahi mea matematika a kamaʻilio ma ka papa ʻāina ʻelua ʻelua, kahi ʻokoʻa wahine-ʻokiʻī, nā laina pololei-ʻo nā haʻahaʻa haʻahaʻa loa, a ma kahi o nā kāne i loaʻa i kekahi helu o ka ʻaoʻao, e pili ana i ko lākou kūlana.
Ma o nā hanana e neʻe mai e hoʻopili ai iā ia me ka ʻano o nā ʻano ʻehā geometric, ua loaʻa ka square i loko o ka spaceland (ʻekolu mau ʻāpana), lineland (hoʻokahi ʻāpana) a me pointland (ʻaʻole dimensional) a hiki i nā mea hou aku i ka manaʻo o ka kipa ʻana i kahi ʻāina ʻehā mauʻāinana manaʻo no kahi hoʻi i hoʻihoʻi ʻia nei ʻo ia i kāna ʻāpana ʻelua. ʻAkuhi ʻia e ka mea kākau, ʻaʻole i leʻaleʻa ka lauwili i ka heluhelu ʻana, aia nō ke komo mua ʻana o ke ʻano loiloi mua i ka manaʻo o ka nui o nā kikowaena o nā keʻena. "ʻAnoʻi, hoʻokipa, a me ka hoʻoulu ʻana i ka noʻonoʻo."
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