Pāngarau Kura Tuarua

Ngā Whārite me ngā Tauritekore Rārangi: Ngā Ariā, Ngā Whakamahinga, me Ngā Otinga Ko ngā whārite me ngā tauritekore rārangi he ariā matua e rua i roto i te pāngarau e whai wāhi nui ana ki ngā momo kaupapa ako, mai i te ōhanga ki te ahupūngao, mai i te pūtaiao rorohiko ki te koiora. I roto i tēnei tuhinga, ka matapakihia e mātou he aha ngā whārite me ngā tauritekore rārangi, me pēhea te whakaoti i aua whārite, me ā rātou whakamahinga… Pānuihia atu

Ngā Koki Motuhake me ngā Tauwehenga Tautoru He ariā nui ngā koki motuhake i roto i te tautoru i roto i te pāngarau me te ahupūngao. He maha ngā whakamahinga o ēnei koki i roto i ngā momo tono, tae atu ki te whakaoti rapanga āhuahanga, te tātari hangarau, me te mārama ki ngā ariā matatau ake pēnei i te tātaitai me te tātari whārite. Ka tūhuratia e tēnei tuhinga ngā koki motuhake, ō rātou tauwehenga tautoru, me ō rātou tikanga. … Pānuihia atu

Ngā Tauwehenga Taurite Ko te Taurite he peka o te pāngarau e ako ana i te whanaungatanga i waenga i ngā koki me ngā roa taha i roto i te tapatoru. I roto i te oranga o ia rā, he maha ngā wā ka tūtaki tātou ki ngā ariā taurite, tae atu ki te hangarau, te ahupūngao, te whetū, tae atu ki ngā tono māmā pēnei i te whakatauira, te pakiwaituhi rānei. Ko tētahi o ngā huānga matua o te taurite e whakamahia pinepinetia ana ko te mahi tauwehenga taurite… Pānuihia atu

Ngā Tauwehenga Taurite i roto i ngā Piramiti: He Tirohanga Whānui ki te Pāngarau me te Hanganga Tawhito Kua roa ngā piramiti o Īhipa, inā koa te Piramiti Nui o Giza, hei tohu mō te pūkenga hangahanga tangata, he mea ngaro kāore anō kia whakatauhia. Ehara i te mea he mea whakamiharo noa iho te rahi me te tika o ngā hanganga, engari he nui hoki ngā raraunga e tukuna ana e ngā tohunga pāngarau, inā koa i roto i te whakamahinga o te taurite. Ka matapakihia e tēnei tuhinga… Pānuihia atu

Te Whakamahinga o ngā Tauwehenga Tautoru i te Oranga o Ia Rā Ko te Tautoru he peka o te pāngarau e ako ana i ngā whanaungatanga i waenga i ngā koki me ngā taha i roto i ngā tapatoru. Ko tētahi o ngā ariā nui o te tautoru ko ngā tauwehenga tautoru, tae atu ki te sine (sin), te cosine (cos), me te tangent (tan). He tokomaha pea e whakaaro ana he whai hua anake te tautoru i roto i ngā mara mātauranga, hangarau rānei. Heoi, ko tēnei ariā… Pānuihia atu

Ngā Whakamahinga o ngā Tauwehenga Tautoru tan θ Kupu Whakataki Ko te Tautoru he peka o te pāngarau e ako ana i te whanaungatanga i waenga i ngā roa taha me ngā koki i roto i ngā tapatoru. Ko tētahi o ngā ariā tino nui o te tautoru ko ngā tauwehenga tautoru, arā, ko te sine (sin), te cosine (cos), me te tangent (tan). O ēnei tauwehenga e toru, he mahi nui tā te tangent i roto i ngā momo mara, mai i … Pānuihia atu

Kotahi te Momo Tauwehenga Tautoru: tan θ Ko te Tautoru he peka o te pāngarau e ako ana i ngā whanaungatanga i waenga i ngā taha me ngā koki o ngā tapatoru. Ko tētahi o ngā tauwehenga tautoru tino taketake me te mea nui ko te tangent, e tohuhia ana e te tan θ. I roto i tēnei tuhinga, ka tūhuratia e tātou te ariā taketake o te tangent, me pēhea te tatau, me ōna tono i roto i ngā momo mara. Te Mārama ki te Tangent (tan … Pānuihia atu

Te Whakaingoa i ngā Taha o te Tapatoru Matau He āhuatanga me ngā āhuatanga motuhake kei ia āhua ā-ira e whakamotuhake ana i a ia, ā, kāore te tapatoru matau i te rerekē. He whānuitia te ako i tēnei tapatoru 90-tohu i roto i ngā momo manga o te pāngarau me te pūtaiao, tae atu ki te āhuahanga, te ine ine, me te ahupūngao. Ko te ako mō ngā tapatoru matau me mārama pai ki ō rātou taha me te whakaahua i ia taha i runga i tōna tūranga whanaunga… Pānuihia atu

Ngā Tauwehenga Taurite: He Tirohanga Hōhonu Ko te Taurite he peka o te pāngarau e ako ana i ngā whanaungatanga i waenga i ngā taha me ngā koki o ngā tapatoru. Ko te kupu "taurite" i ahu mai i ngā kupu Kariki "trigonon," ko te tikanga he tapatoru, me te "metron," ko te tikanga he ine. Ahakoa kua roa te ariā nei e whakamahia ana, kei te whai wāhi tonu te taurite i roto i ngā mara pēnei i te ahupūngao, te miihini, me te pāngarau.

Te Ine Taurite: Ngā Ariā, Ngā Hītori, me Ngā Whakamahinga i te Oranga o Ia Rā Kupu Whakataki Ko te Ine Taurite, he peka hou o te pāngarau, he mahi nui tana i roto i ngā momo mara pūtaiao me te hangarau. E pā ana ki te ako i ngā whanaungatanga i waenga i ngā koki me ngā roa taha i roto i ngā tapatoru. Hei wāhanga nui o te pāngarau, he whānuitia ngā whakamahinga o te ine taurite, mai i te whetū me te hangarau ā-iwi ki… Pānuihia atu