Tirohia te wāhanga i raro nei, kātahi ka whakautu i te pātai i muri mai i te reo kotahi me te wāhanga:  Passage: Kua whakamahia te tauira-me-epicycle e nga tohunga whetu Kariki mo nga rautau me te whakaaro o te eccentric (he mea whakaheke e paku ana i te pokapū o te Ao), he mea tawhito ake. I roto i te whakaahua, ko te pokapū o te whakaute ehara i te Ao engari ko te waahi kua tohua ki te X, e hanga ana i te mea rereke (mai i te reo Kariki ἐκ ec- te tikanga "mai i", me te κέντρον kentron te tikanga "pokapū"), mai i te wahi i tapaina ai tona ingoa. Heoi anō, kāore te pūnaha i wātea i te wā o Ptolemy i tino ōrite ki ngā kitenga, ahakoa i tino whakapai ake i te pūnaha o Hipparchus. Ko te mea tino kitea ko te rahi o te porohita o te aorangi (ina koa ko te Mars) ka iti ake, i etahi wa ka nui ake, i te mea e tumanakohia ana, ka puta he hapa tuunga tae atu ki te 30 nekehanga. Hei whakaiti i te raruraru, i whakawhanakehia e Ptolemy te rite. Ko te ōrite he wāhi e tata ana ki te pokapū o te pororapa o te aorangi, mēnā ka tū koe ki reira, ka mātakitaki, ko te pokapū o te epicycle o te aorangi e āhua neke tonu ana i te tere ōrite; ko ētahi atu wāhi katoa e kite ana i te tere ōrite, pēnei i te Ao. Ma te whakamahi i te taurite, i kii a Ptolemy ki te pupuri i te nekehanga he taurite, he porohita hoki, ahakoa i wehe atu i te whakaaro Platonic mo te nekehanga porohita taurite. Ko te pūnaha e puta mai ana, i whakaaetia whānuitia i te uru, he mea uaua ki nga tohunga whetu o nāianei; i hiahiatia e ia aorangi he epicycle e huri ana i runga i te whakawātea, i whakatauhia e te taurite i rerekē mo ia aorangi. I matapae i ngā nekehanga ā-rangi, tae atu ki te tīmatanga me te mutunga o te nekehanga whakamuri, ki roto i te hapa mōrahi o te 10 nekehanga, he pai ake i te kore o te ōrite.  Pātai: He aha ngā tāngata i whakamahi i te tauira o te ārai me te epicycle?
Ngā tohunga whetū Kariki