Pythagorean hypotenuses as contraharmonic means


c2=a2+b2 c=u2+v2u+v N.B.
52=32+42 5=(22+62)/(2+6) 3
102=62+82 10=(62+122)/(6+12)
132=52+122 13=(32+152)/(3+15) 5
152=92+122 15=(92+182)/(9+18)
172=82+152 17=(52+202)/(5+20) 5
202=122+162 20=(82+242)/(8+24)
252=72+242 25=(42+282)/(4+28) 7
262=102+242 26=(62+302)/(6+30)
292=202+212 29=(142+352)/(14+35) 7
302=182+242 30=(122+362)/(12+36)
342=162+302 34=(102+402)/(10+40) 5
352=212+282 35=(142+422)/(14+42)
372=122+352 37=(302+422)/(30+42) 7
392=152+362 39=(92+452)/(9+45)
402=242+322 40=(162+482)/(16+48)
412=92+402 41=(362+452)/(36+45) 3
502=142+482 50=(422+562)/(42+56) 7
512=242+452 51=(152+602)/(15+60)
522=202+482 52=(122+602)/(12+60) 3
532=282+452 53=(182+632)/(18+63) 7
552=332+442 55=(222+662)/(22+66)
582=402+422 58=(302+702)/(30+70) 7
602=362+482 60=(242+722)/(24+72)
612=112+602 61=(62+662)/(6+66) 11
612=112+602 61=(552+662)/(55+66) 11

652=392+522
65=(262+782)/(26+78)
682=322+602 68=(202+802)/(20+80)
702=422+562 70=(282+842)/(28+84)
732=482+552 73=(402+882)/(40+88) 11
742=242+702 74=(142+842)/(14+84) 7
752=212+722 75=(122+842)/(12+84) 7
782=302+722 78=(182+902)/(18+90)
802=482+642 80=(322+962)/(32+96)
822=182+802 82=(102+902)/(10+90) 3
852=402+752 85=(252+1002)/(25+100)
872=602+632 87=(422+1052)/(42+105) 7
892=392+802 89=(242+1042)/(24+104) 13
902=542+722 90=(362+1082)/(36+108)
912=352+842 91=(212+1052)/(21+105)
952=572+762 95=(382+1142)/(38+114) 19
972=722+652 97=(452+1172)/(45+117) 13
1002=602+802 100=(402+1202)/(40+120)

Title Pythagorean hypotenuses as contraharmonic means
Canonical name PythagoreanHypotenusesAsContraharmonicMeans
Date of creation 2013-11-20 20:23:01
Last modified on 2013-11-20 20:23:01
Owner pahio (2872)
Last modified by pahio (2872)
Numerical id 10
Author pahio (2872)
Entry type Data Structure
Classification msc 11Z05
Classification msc 11D45
Classification msc 11D09
Classification msc 11A05
Related topic PythagoreanTriple
Related topic ContraharmonicMean
Related topic FirstPrimitivePythagoreanTriplets
Related topic ContraharmonicProportion