Pāngarau

(te) ture a Pythagoras

theorem of Pythagoras

tūingoa

WHAKAMĀRAMA

Ko Pythagoras tētahi o ngā tohunga pāngarau rongonui o te whenua o Kiriki, i ngā tau 572 – 495 i mua i te whānautanga mai o Ihu Karaiti. Nāna te ture nei, e hono ana i ngā tapa e toru o tētahi tapatoru hāngai, arā, he ōrite te pūrua o te tāroa ki te tapeke o ngā pūrua o ngā tapa poto.

Pythagoras was a famous mathematician from Greece in the years 572 – 495 before the birth of Christ. He revealed a theorem that links the sides of a right-angled triangle, namely that the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Tauira KŌrero

Whakamahia te ture a Pythagoras hei tātai i te tāroa o te tapatoru hāngai.

He aha ētahi whakamahinga o te ture a Pythagoras?

Tuhia te ture a Pythagoras me ngā upane katoa hei tātai i te roa o te tapa poto o te tapatoru hāngai.

WhakamĀrama Āpitihanga

Hei tauira te ture a Pythagoras o te pānga āhuahanga, inā e tohua ana te hononga o ngā āhuatanga āhuahanga nei, arā, ngā tapa e toru o tētahi tapatoru hāngai.

Koia nei te whakapoto i te ture a Pythagoras: a2 = e2 + h2

Ko te ‘a’ te tāroa o tētahi tapatoru hāngai. Ko te ‘e’ me te ‘h’ ngā tapa poto:

Ka kīia ngā tapa o tētahi tapatoru hāngai, he takitoru Pythagorean, nā te mea ki te whakaurua aua tapa ki te whārite Pythagoras a2 = e2 + h2, ka oti tika. Hei tauira o ētahi takitoru Pythagorean: {3, 4, 5}, {5, 12, 13}, {7, 24, 25}.

Tauira KŌrero

Whakamahia te ture a Pythagoras hei tātai i te tāroa o te tapatoru hāngai.

He aha ētahi whakamahinga o te ture a Pythagoras?

Tuhia te ture a Pythagoras me ngā upane katoa hei tātai i te roa o te tapa poto o te tapatoru hāngai.

WhakamĀrama Āpitihanga