Adica: 2 x 2 + 3 x 3 = 4 + 9 = 13. Pentru un salajean pasionat de numerologie, cifra fatidica nu mai prezinta nici o „noutate”. El se „distreaza” facand tot felul de calcule, care mai de care mai alambicate, demonstrand ca inca din antichitate cifra 13 a fost de folos omenirii. (Iulian Duma, Zalau)
Alin Codre (foto), de 27 de ani, din Zalau, student in ultimul an al Facultatii de matematica din Cluj, are un hobby mai putin obisnuit, acela de a calcula si studia „originea” lui 13. Alin afirma ca „Thales din Milet sustinea ca pentru a atinge armonioasa si perfecta alcatuire a piramidelor, egiptenii s-au folosit de o funie cu 13 noduri, cu ajutorul carora marcau 12 lungimi egale (3+4+5=12). In momentul cand aveau nevoie de trasarea unui unghi drept suprapuneau primul nod peste ultimul, cel de-al 13-lea, ii oranduiau laturile si obtineau triunghiul asa-zis „al lui Pitagora”.
Modalitatea de a construi un astfel de echer a fost folosita si de membrii breslei masonilor medievali, cei care intre secolele X-XV au construit mari catedrale europene. Nodul folosit la marcarea intervalelor avea o forma particulara si se numea „lac d-amour””, spune Alin. „Patratul lui 13 a fost studiat inca din antichitate de matematicienii chinezi. El apare in prima formulare cunoscuta a celebrei teoreme, care ulterior a capatat numele lui Pitagora. In cartea „Chiu Chang”, scrisa de matematicianul chinez Tin Chiu Ciau, prin anul 2600 i.e.n., deci cu aproximativ 2.000 de ani inainte ca Pitagora sa se nasca, se enunta urmatoarea problema: „In centrul unui bazin patrat cu latura de 10 picioare creste o trestie care depaseste nivelul apei cu un picior. Daca tragem de trestie si o inclinam, varful ei atinge chiar marginea bazinului. Cat de adanca e apa?”. Evident, distanta dintre trestie si marginea bazinului este jumatate din latura lui, adica 5 picioare. Aceasta este lungimea catetei mai mici din triunghiul dreptunghic, unde cealalta cateta este mai mica cu un picior decat ipotenuza. Solutia problemei deriva din triunghiul dreptunghic cu laturile de 13, 12 si 5 picioare, in care se verifica relatia: 5 x 5 + 12 x 12 = 25 + 144 = 169 = 13 x 13.
Deci, apa masoara 12 metri adancime, iar trestia are o inaltime de 12+1=13 picioare”, afirma cu nonsalanta Alin. „Numarul 13 are ciudata proprietate ca daca ii scriem cifrele in ordine inversa, adica 31 si ridicam noul numar la patrat, obtinem de asemenea un patrat, format din aceleasi cifre ca si patratul lui 13, dar scrise invers: 13 x 13 = 169, respectiv 31 x 31 = 961.
Dupa cum se stie, un an solar de 365 de zile dureaza cat 13 revolutii ale Lunii, fiecare de cate 28 de zile, adica: 13 x 28 = 364 (eroarea este de o zi si un pic). Cum Luna nu se roteste in jurul propriei axe, ci numai in jurul Pamantului, o „zi” lunara tine tot 28 de zile, dintre care 14 zile este lumina si alte 14 zile este noapte. Patratul lui 14 se scrie, de asemenea, cu aceleasi cifre ca si patratul lui 13, dar puse intr-o alta ordine: 14 x 14 = 196. Sa adunam aceste patrate „miraculoase”, care cuprind aceleasi cifre: 13 x 13 + 14 x 14 = 169 + 196 = 365, exact numarul de zile intregi dintr-un an. 365 este, la randul sau, un numar „miraculos”, el putand fi scris nu numai cu suma patratelor a trei numere naturale consecutive: 10 x 10 + 11 x 11 + 12 x 12 = 100 + 121 + 144 = 365. Patratul lui 13 poate fi obtinut si din diferenta patratelor a doua numere naturale consecutive: 85 x 85 – 84 x 84 = 7225 – 7056 = 169 = 13 x 13″, ne mai povesteste mandru de „descoperirile” sale tanarul salajean.
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