Batman vppon Bartholome his booke De proprietatibus rerum, newly corrected, enlarged and amended: with such additions as are requisite, vnto euery seuerall booke: taken foorth of the most approued authors, the like heretofore not translated in English. Profitable for all estates, as well for the benefite of the mind as the bodie. 1582.
Bartholomaeus, Anglicus, 13th cent., Trevisa, John, d. 1402., Batman, Stephen, d. 1584.

De Numero diminuto. cap. 126.

THE partes of a number Diminutins being accounted, maketh a lesse num∣ber then it selfe, as it fareth of the num∣ber of ten, yt hath three partes, the tenth part is one, the fifth is twaine, and the halfe is fiue: And one, two, and fiue, ma∣keth eight, that is much lesse than tenne. And the number of eight is such a num∣ber, and so be many other that commeth not fully of their own parts, as the num∣ber of sixe hath three parts: the sixt part thereof is one, the third is two, the halfe is three, and fiue, one, and three, maketh euen sixe: These nūbers be perfect, sixe, eight, and twentie beneath an hundred, foure score and sixteene beneath a thou∣sand, and sixe score, and eight & twentye beneath ten thousand: and those perfect numbers end alway is sixe or in eight, and that alway the one endeth in sixe, & the other in eight, as Boetius sayeth. Thou shalt seld finde perfect numbers, and they are soone accounted, for they bee scarce & compounded in a full stedfast or∣der. And superfluous numbers & dimi∣nutiue be vnordinatly disposed and com∣powned of no certeine end of numbers. Uneuen nūbers be diuided in this wise. Some be simple, and some compowned, and some be meane. The simple haue no euen part, but onely one other vnitie, as ye number of three hath only the third part, and due onely the fifth, and seuen onely the seauenth. Such a number hath but only one part. But héere be speaketh of ye euen mesuring part, which is so of∣ten taken, yt it maketh euen the same nū∣ber Compowned numbers be not onely by one, but they be also compowned of other numbers, & commeth multipli∣cation of other numbers: Nine, fifteene, one and twenty, and fiue & twentie, for we say, thrice three, & seauen times three, and thrice fiue, and fiue times fiue. The meane numbers seemeth some deale both simple and compowned in some wise, as nine, & fiue, & twenty. For in comparison to some number of nine, is the first vncō∣powned, for th•••n is no comon number, but onely one, & •• the second and com∣powned in comparison to fifteene. For in nine & in fifteene is another common nū∣ber then one, as the number of three, for thrice three maketh full nine, and thrice fiue maketh full fifteene.