hikuwaru
1. (modifier) crooked, asymmetrical, irregular, lopsided, unbalanced.
Ka kino ōna moko, tapā tōna ingoa Moko-hikuwaru (W 1971:50). / His moko was badly done so he was named Moko-hikuwaru (Lopsided tattoo).
Synonyms: tipirori
2. (modifier) asymmetrical, irregular (maths).
Ka whakamahia te kupu 'hikuwaru' mō te taparau kāore e rite ana te roa o ōna tapa katoa, he rerekē rānei te rahi o tētahi o ngā koki. Ka kīia he tapatoru hikuwaru (TRP 2010:117). / The word 'hikuwaru' is used to describe a polygon in which not all sides are equal in length, or at least one angle is different in size. It is called an irregular polygon (TRP 2010:117).
tōrite
1. (noun) inequality, inequation (maths).
He momo kīanga te tōrite e whakaatu ana i te pānga o ētahi taurangi e rua, arā, he iti iho, he nui ake rānei tētahi i tētahi (TRP 2010:293). / Inequation is a type of algebraic expression showing the relationship between two variables where one can be less than or greater than the other (TRP 2010:293).
pūrua
1. (verb) (-a,-hia,-tia) to do a second time, repeat, double up, duplicate, confirm, reduplicate, copy.
Nā Gottfried Lindauer i whakairo tōna āhua, engari he mea tuhi pūrua kē pea mai i tētehi whakaahua (TTR 1994:122). / He is depicted in a portrait by Gottfried Lindauer, but it was probably copied from a photograph.
2. (modifier) by twos, in pairs, two by two.
3. (noun) pair, doubling, doubling up, repetition.
Engari, koirā pea tētahi huarahi mō ngā mea e ako ana i te reo Māori, arā, ko te pūrua i ngā oropuare (HM 1/1993). / But perhaps that is a way for the ones learning Māori, that is doubling the vowels.
Synonyms: takirua, tōpū, tāruatanga, tukurua, tuaruatanga, tokorua, tāruarua, huirua, pea
4. (noun) junction (of streams and rivers), confluence.
Ko Taumata‑ō-hē pā i te pūrua o ngā awa o Mangatahi, o Maraekākaho me Ngaruroro i Heretaunga (TTR 1994:135). / Taumata-ō-hē pā is at the confluence of the Mangatahi Stream, Maraekākaho and the Ngaruroro River in Hawke's Bay.
5. (noun) power of two, squared (maths).
pānga kōaro
1. (noun) inverse function, inverse relation (maths).
Ko te pānga kōaro te huringa kōaro o tētahi pānga kei waenganui i ētahi taurangi e rua. Hei tauira, ko te haurua te pānga kōaro o te rearua (TRP 2010:194). / An inverse relation is the reversal of a relationship between two variables. For example, half is the inverse relation of double. (TRP 2010:194).
pāngarau
1. (noun) mathematics.
Ko te nuinga i kimihia ā-kaupapatia mai pēnei i te hākinakina, i te pūtaiao, i te pāngarau me te hauora (HM 2/1992). / The majority were sought according to topics like sport, science, mathematics and health.
Synonyms: whika
whika
1. (loan) (verb) (-ia,-ngia) to cipher, do sums, compute, calculate.
He nui o aua tamariki e mōhio ana ki te kōrero i te reo Pākehā, ā he mōhio aua tamariki ki te whika, ki te tuhituhi (TW 14/9/1878:455). / A large number of the young people can converse in the English language in an intelligent manner, and all can calculate and write.
2. (loan) (noun) figure, number.
Ehara i a mātou te hē i ēnei whika, nā te tino kāwanatanga anō ēnei whika i mahi, nā konei i kīia ai nā mātou te aha (TW 25/9/1875:241). / The errors in the figures in this table are as given by the government, therefore we are not accountable for the discrepancy.
3. (loan) (noun) arithmetic, mathematics.
Ā, i kite mātou i ngā pukapuka whika a aua tamariki Māori me aua tamariki Pākehā, ā i tino rite te pai o aua tamariki Māori ki aua tamariki Pākehā i tuhituhi ai, i whika ai (TW 14/9/1878:457). / And we looked at the arithmetic books of those Māori and Pākehā children and the quality of the writing and arithmetic done by the Māori children was just as good as that by the Pākeha children.
Synonyms: pāngarau
4. (loan) (noun) page number.
Kei te 12 o ngā whika o taua 'Karere' i tāia i a Pēpuere, 1862 (MM.TKM 1/5/1862:17). / They occur at the 12th page of the 'Messenger', published on February, 1862.
aho
1. (noun) fishing line, cord, string, line, medium for an atua in divination.
Pupuri tonu tētahi ringa ki te aho kia mau tonu ai te pōro i te taha o te kānara, ko te matikara o tētahi ringa hei āta koropana i te pōro kia āta takahurihuri mārire ai (TWMNT 5/6/1877). / Hold the string with one hand so that the ball is beside the candle and with a finger of the other hand carefully flick the ball so that it slowly revolves.
2. (noun) weft, woof - cross-threads of weaving or a mat.
Whatua mai te aho kia kāwitiwiti, kia kātoatoa mō te oti wawe, e hine! (TTT 1/4/1929:s178) / For an earlier completion, weave the cross threads so that they taper and contract, girl!
3. (noun) line of descent, genealogy.
I heke iho a Tini i te aho ariki o tōna tupuna, o Tūhuru o Te Tai Poutini, me tana pānga anō hoki ki a Ngāti Toa o Porirua (TTR 1998:216). / Tini was descended by the senior line from her ancestor Tūhuru of Westland, and was also related to Ngāti Toa of Porirua.
4. (noun) chord (maths).
He rārangi tōtika te aho e hono ana i ētahi pūwāhi e rua i te paenga o tētahi porowhita (TRP 2010:94). / The chord is a straight line joining two points on the circumference of a circle (TRP 2010:94).
5. (noun) sine (maths) - for an angle, the ratio of the length of the side that is opposite that angle to the length of the longest side of the triangle.
Ko te aho he ōwehenga e hono ana i tētahi koki o te tapatoru hāngai ki te tāroa me te tapa tauaro (TRP 2010:94). / The sine is a ratio which connects an angle of a right-angled triangle with the opposite side and the hypotenuse (TRP 2010:94).
2. (noun) corner.
I a au e huri ana i tētahi koki o te rori, ka kite ahau i tētahi koroua e tū ana i te taha o te rori (HKW 1/8/1900:1). / When I was turning a corner of the road I saw an elderly man standing at the side of the road.
3. (noun) angle (maths).
Ina pātahi ētahi rārangi torotika e rua ki tētahi pūwāhi, he koki ka hua mai. Ko te koki te rahi o te huringa o tētahi rārangi torotika i tētahi pūwāhi. Ko te putu (°) te waeine hei whakaatu i te rahi o tētahi koki. E 360° te rahi o te huringa kotahi (TRP 2010:153). / When two straight lines meet at a point, an angle is formed. An angle is the amount that a straight line is rotated around a point. The degree (°) is the unit for measuring the size of an angle. There are 360° in a full turn (RTP 2010:153).
rārangi
1. (verb) (-hia,-tia) to list, arrange, itemise.
Rārangitia ngā kupu kei raro iho nei i raro i te whakaupoko e tika ana (Te Māhuri Pukapuka Tātaki 2004:54). / List the words below under the appropriate heading.
Synonyms: whakarārangi, tūtira, honga, tītaha, whakaraupapa, whakatūtira
2. (verb) (-hia,-tia) to line up.
E tāwhirowhiro ana ngā rau o ngā pūrere kapohau e rārangi mai ana i te pae maunga (PK 2008:910). / The blades of the wind turbines lined up along the mountain range are spinning.
3. (noun) line, rank, row, queue, list, catalogue.
Me haina i runga i te rārangi iraira (Ng 1993:111). / You must sign on the dotted line.
Synonyms: tūtira, kōhangohango, tūnga, nui, io, kapa, tawhā, aho, ripa, papanga, raina, tararau, tatauranga, whakanehenehe, hoe
5. (noun) line (maths).
Ko te rārangi te ara kei waenganui i ētahi pūwāhi e rua. He torotika ētahi rārangi, he kōpikopiko ētahi. He ahu-tahi te rārangi, ka taea tōna roa te ine, engari karekau he whānuitanga o te rārangi (TRP 2010:221). / A line is the pathway between two points. Lines can be straight or curved. A line is one dimensional, its length can be measured but it has no width (TRP 2010:221).
tāroa
1. (modifier) enduring, lengthy.
E whakaatu ana ngā reta tāroa i tuhia e tētehi ki tētehi i ngā tau atu i 1925 ki 1950, e ū tonu ana te aro mai o Te Rangi Hīroa ki te āhua o ngā mahi e ahu whakamua ana i Niu Tīreni nei, me ōna āwangawanga e pā ana ki te oranga o te Māori (TTR 1996:17). / The lengthy correspondence between them in the years 1925 to 1950 reveals Peter Buck's continued interest in developments in New Zealand and his concern for Māori welfare.
Synonyms: takaroaroa, kāwekaweka, auroa
3. (noun) hypotenuse (maths) - the longest side of a right-angled triangle, the side opposite the right angle.
Ko te tāroa te tapa roa o te tapatoru (TRP 2010:190). / The hypotenuse is the long side of a triangle.
2. (noun) desire, benefit.
Ko te uara nui ko te kitea mai i roto i te haere nei tētahi āhua e kaha ake ai tātou ki tō tātou reo (HM 1/1988:3). / The main desire is to see in this journey a way for us to strengthen our language.
3. (noun) monetary value.
Ka haere tonu ngā whakarite hoko mō te poraka. Ko tā ngā rangatira e hiahia ana e £20,000; ko te whakautu a Te Mākarini e £3,000. He roa te kauwhau a Te Hāpuku ki a Te Mākarini mō te nui me te uara o te whenua (TTR 1990:11). / Negotiations for the block continued. The chiefs wanted £20,000; McLean countered with an offer of £3,000. Te Hāpuku made a lengthy appeal to McLean about the extent and monetary value of the land.
4. (noun) value (maths).
Ko te uara te rahi e whakaaturia ana e tētahi tohu (TRP 2010:303). / The value is the quantity or amount represented by a particular symbol.
2. (noun) feeler (of crayfish), antenna, sucker, thin shoot, tendril (of plants), tentacle (of Portuguese man-of-war), sliver, baleen - any long slender appendage.
Synonyms: pāhau, pāhautea, hihi tohorā
3. (noun) straight line (maths).
4. (noun) stitchbird, Notiomystis cincta - a rare endemic forest bird, the male has a black head, upper breast and back, bordered by golden yellow across the breast. White tufts behind the eyes and yellow shoulder patch. Female grayish brown with white wingbar.
Synonyms: kōhihi, kōtihe, kōtihe wera, kōtihetihe, matakiore, mōtihetihe, tiora, tihe, tioro
āhuatanga herekore
1. (noun) associative property (maths).
Ko te āhuatanga herekore e mea ana kāore he take o te whakarōpū i ngā tau i roto i tētahi paheko mēnā e toru, nui ake rānei ngā tau o taua paheko (TRP 2010:189). / Associate property is saying that there is no point in grouping numbers in an operation if there are three or more numbers of that operation.
āhuatanga pūmau
1. (noun) invariant property (maths).
He whakaatanga tēnei. Ka noho pūmau te āhua me te rahi, ka rerekē te wāhi noho me te ahunga. Ka kīia, he āhuatanga pūmau te koki me te rahi i raro i te whakaatanga, he āhuatanga taurangi te ahunga me te taunga (TRP 2010:191). / This is a reflection. The shape and size remain unchanged, but the position and orientation is changed. It is said that the angle and size under the reflection are invariant properties, but the orientation and position are variant properties.
3. (modifier) curved, crooked.
4. (noun) curve, curved line.
Kia kōhiti te marama, he ānau tōna hanga (PK 2008:19). / When the new moon rises its shape is a curve.
5. (noun) simple curve (maths).
Karekau tētahi wāhanga o te rārangi ānau e torotika, kotahi hoki te piko o te ānau. Ko ētahi ānau e huaki ana, ko ētahi e kati ana (TRP 2010:101). / No part of a simple curve is straight, there is only one curve in the line which can be open or closed (TRP 2010:101).
