Te Whakaingoa i ngā Taha o te Tapatoru Matau
He āhuatanga me ngā āhuatanga motuhake tō ia āhua ā-ira, ā, kāore te tapatoru matau i te rerekē. He whānuitia te ako i tēnei tapatoru 90-tohu i roto i ngā momo manga pāngarau me te pūtaiao, tae atu ki te āhuahanga, te ine ine, me te ahupūngao. Ko te ako i ngā tapatoru matau me mārama ki ō rātou taha me te whakaahua i ia taha i runga i tōna tūranga e pā ana ki te koki matau. Ka tirohia e tēnei tuhinga ngā āhuatanga rerekē o te whakaingoa i ngā taha o te tapatoru matau me tō rātou hiranga i roto i ngā horopaki pāngarau me ngā horopaki mahi.
1. Te Whakamāramatanga o te Tapatoru Matau
He whakarāpopototanga noa iho, he āhua papatahi te tapatoru, e toru ngā taha, e toru hoki ngā koki. I roto i te tapatoru matau, ko tētahi o ngā koki e toru he 90 nekehanga tonu. E mōhiotia ana tēnei koki 90-tohu he koki matau, nō reira i tapaina ai te tapatoru matau. He taha tō te tapatoru matau hei hypotenuse me ngā waewae.
2. Ngā taha o te tapatoru matau
I roto i te tapatoru matau, e toru ngā taha e wehea ana i runga i ō rātou koki o roto:
– Te taha roa rawa atu o te tapatoru matau, e anga atu ana ki te koki matau.
– Waewae: Ko ngā taha e rua e hanga ana i te koki 90-tohu. Ka taea te kī ko ēnei waewae he waewae poutū, he waewae turanga rānei, i runga i te horopaki ingoa.
He mea tino nui te mārama ki te whakaingoatanga me te mahi a ia taha i roto i ngā tataunga pāngarau, i roto i te āhuahanga taketake me te tono o ngā tātai pākoki.
3. Te Hiranga o te Whakaingoa i ngā Taha
Ehara i te mea he kupu noa iho te tapanga tika o ngā taha o te tapatoru matau; he whānui hoki ngā pānga mahi me ngā pānga ariā. Anei ētahi take he mea nui te tapanga i ngā taha:
3.1. Te Whakamāmā i te Whakamahinga o ngā Tātai
Ko ngā tātai taketake pēnei i te ariā Pythagorean, ngā mahi trigonometric (sin, cos, tan), me ētahi atu ture uaua ake e hiahia ana kia tautuhia tika ia taha o te tapatoru. Hei tauira, i roto i te ariā Pythagorean:
\[
c^2 = a^2 + b^2
\]
Ko \(c\) te hypotenuse, ā, ko \(a\) me \(b\) ngā waewae. Mēnā he ngā hapa i te tautuhi i ngā taha, ka puta he hua tatau hē.
3.2. Tātaritanga Wetereo me te Ahupūngao
I roto i te ahupūngao, inā koa i roto i te tātaritanga whārite i roto i ngā mara e pā ana ki te nekehanga me te hihiri ā-rua-ahu, he mea nui te kaha ki te wehewehe i ngā wāhanga whārite ki ngā tapatoru tika. Hei tauira, i te whakatau i ngā wāhanga whakapae me te poutū o tētahi kaha, o tētahi tere rānei, ka whakamahia ngā tapatoru tika mō te wehewehenga whārite.
3.3. Ngā Whakamahinga Whai Hua
I roto i te hangarau ā-iwi me te hoahoanga, ka whakamahia te whakaingoa i ngā taha o te tapatoru matau hei whakarite i te taurite tika i roto i ngā hanganga whare me ngā piriti. Mā te whakamahi i ngā kupu tika ka āwhina i ngā tohunga ki te whakawhitiwhiti whakaaro hanga me te hoahoa kia pai ake te whai hua.
4. Ngā Tauira i roto i te Oranga o Ia Rā
Ehara i te mea he whai hua te whakaingoa i ngā taha o te tapatoru matau i roto i te ariā anake, engari i roto hoki i ngā mahi o ia rā. Hei tauira:
– Ngā Arawhata me ngā Ara Whakatere: He maha ngā wā ka whakaahuahia ngā arawhata i roto i tētahi whare, i tētahi whare nui rānei hei tapatoru matau, ko te arawhata tonu e rere whakapae ana (waewae turanga) ka piki ake (waewae poutū).
– Te Rūri Whenua: I roto i te rūri whenua mā te whakamahi i te theodolite, he mea tino noa te whakamahi i ngā tapatoru hāngai-matau hei ine i ngā tawhiti me ngā koki. Ka āwhina tēnei mōhiotanga i te tatau whai hua o te horahanga me te wehenga whenua.
5. Te Ako mā te Pāpāho Ataata
Hei āwhina i te mārama me te maumahara ki ngā ingoa o ngā taha o te tapatoru matau, he tino āwhina ngā whakaaturanga me ngā rauemi whakaatu. Mā te whakamahi i tētahi tapatoru kua whakaahuatia mārama, ka ngāwari ake te maumahara a ngā ākonga ki te tūranga me te whakamāramatanga o ia taha.
6. Whakamutunga
He mea nui te tapanga i ngā taha o te tapatoru matau, ehara i te mea mō te āhuahanga anake, engari mō ōna tono matatau ake hoki i roto i te pūtaiao, te hangarau, me te oranga o ia rā. Ko te taha whakarara, hei taha roa rawa atu, me ngā waewae, hei taha e rua e hanga ana i te koki 90-tohu, ka whakaratohia he māramatanga pakari mō te whānuitanga o ngā whakaoti rapanga me te tātari. I roto i te mahi, mā te whakamahi tonu me te tika o ēnei tapanga ka āwhina i te whakaiti i ngā hapa tatau, ā, ka taea e ngā tohunga i roto i ngā momo mara te whakawhitiwhiti kōrero whai hua me te whai hua.
Hei whakamutunga, mā te whakataki hōhonu me te mārama ki te whakaingoa i ngā taha o te tapatoru matau ka whakapakari i te pūtake o te pāngarau me tōna whakamahinga i roto i ētahi atu peka o te pūtaiao. Heoi anō, mā te matatau ki te kite i tētahi āhua mā roto i te tapatoru matau ka māmā ake te whakaoti rapanga i runga i te mahi ā-ringa me te auaha.
Mā te whakamahi tika i tēnei mātauranga ka honoa te mātauranga taketake me te ngaiotanga i ngā āhuatanga maha o te ao, mai i te rūma taiwhanga ki ngā mahi o ia rā i te mara.
