superparticularitas

superparticulāritās, ātis, f. (superparticularis), das Verhältnis des numerus superparticularis, Boëth. inst. arithm. 1, 32. p. 70, 2 Fr. u.a.

superparticularitas [LL], property of being the larger number in an integer ratio of the form n + 1 : n. b (w. multiplex or sim.) property of being the larger number in an integer ratio of the form xn + 1 : n where x > 1. multiplicem superpartientem, multiplicem ~atem alia species ~atis est que vocatur super[tri]partiens, et est qui continet aliquod et ejus tres partes ut septenarius se habet ad quater Bacon XV 222; multiplex ~e continet totum multotiens et unam partem ‥. et sic junge quamlibet speciem multiplicitatis cum omnibus speciebus ~atis, prout necesse fuit Mens. & Disc. (Anon. IV) 67; ~as ‥ racioni servans magnitudinis in infinitum minorem minuit sicut continua quantitas, ut major est altera pars quam tercia, major tercia quam quarta, et semper pars a majore numero denominata Odington 70; multiplicitas consistit in integritate. nam duplum continet totum minorem, triplum similiter. ~as exuberat aliqua parte, vel altera vel tercia Ib..  b preposicio vero sive supra posicio habet sub [se] ‥ quasdam species subalternas, ut multiplicem, superpartientem, superparticularitatem, multiplicem superpartientem, multiplicem ~atem Bacon XV 222.

sŭperpartĭcŭlārĭtās, ātis, f. , qualité dʼun nombre superparticulaire : Boet. Arithm. 1, 32.