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 secunda, diuisione totius Numeri. cap. 127.

AND numbers be departed and dea∣led in another manner wise: for eue∣ry each number is taken by himselfe, & with comparisō, as one, fiue, three, foure, fiue, sixe, and such other. A number is taken with comparison in this manner wise: the number of foure is double to the number of two, and conteineth oft two, and sixe is double to three, and eight to foure, and ten to fiue: and three to tre∣ble to one, & sixe to two, & nine to three. And yt like great numbers be those that conteins like many, as two to two, and three to three, & ten to ten, an hundred to an hundred Uneuen numbers be ye more and the lesse, as three and two, and foure & three. And generally the more and the lesse in comparison be vneuen either to other, & the more member conteineth the lesse, and somewhat more: as foure con∣teineth three, and somewhat ouer. For in foure is one & three, and so of other. The lesse number is conteined in the more, & is taken in comparison therto, with some part of it, as three to foure, & is conteined in foure with two parts therof. A num∣ber yt is called Multiplex conteineth the lesse number twice or thrice, or foure times, as two conteineth twice one, and is double thereto, & three is treble to one, & foure is quatreble to one, & so of other. The number Submultiplex is oft con∣teined in ye more number, as one is twice conteined in two, and thrice in thrée, and foure times in foure, fiue times in fiue, and so of other. The Superticularis number conteineth in comparison all ye lesse number, & somewhat ouer, as three Page  415 containeth two, and one more that is the halfe part of two. Also foure containeth three, and one ouer, that is the third part of three, and fiue containeth foure & one ouer, that is the fourth part of foure, & so of other. The number that is called Sub∣superparciens, conteineth the lesse num∣ber, & two parts, three, foure, or mo parts of the lesse number, as fiue contayneth three, & two parts ouer, that be two: and seuen containeth foure, & three partes o∣uer thrice one, & nine containeth fiue, & his other partes, foure times one. The number Subsuperparcient is conteined in the more number with some partes thereof, fiue, or three, or moe, as three is conteined in fiue, and two parts therof, & fiue is conteined in nine with foure parts therof, and so of other Subsuper∣particularis number is conteined in the more number with the halfe part, or the third part, or the fourth, or the fifth, as two to thrée, thrée to foure, foure to fiue, & so of other. The number Multiplex Subsuperparticularis conteineth ye lesse number oft, & some part thereof, as fiue conteineth twice two, yt maketh foure, and one part therof, as nine conteineth twice foure and one ouer. The number Multiplex Superparticularis conteineth oft the lesse, and some parts therof. Also foureteene conteineth twice sixe, & some parts thereof, as eight conteineth twice three, & some parts therof, & sixteene con∣teineth twice seuen, & some part of it: & two & twentie conteineth twice nine & some three parts. The number Submul∣tiplex Superparciens is oft conteined in the more number, with some partes thereof, as thrée is twice conteined in eight, with two parts thereof, and foure in twice conteined in eleuen, and three parts therof, as Isidore sayth.