A Corollary logisticall.
Of my former Theoreme it followeth: Any two numbers being geuen, betwene which two we would haue two other numbers, middle, in continuall proportion:* 1.1 That if we multiply the square of the first number geuen, by the other geuen number (as if it were the fourth): the roote Cubik of that of come or product, shall be the second number sought: And farther, if we multiply the square of the other number geuen, by the first geuen number, the roote Cubike of that of come shall be the thirde number sought.
For (by my Theoreme) those rectangle parallelipipedōs made of the squares of the first & fourth, multiplied by the fourth & the first, accordingly, are equall to the Cubes made of the second & third numbers: which we make our two ••iddl•• proportionals•• Wherefore of those parallelipipedo••s (as Cubes) the Cubik rootes, by good and vsuall arte sought and found, geue the very two middle num∣bers desired. And where those numbers, are not by logisticall consideration accounted Cubik num∣bers, ye may vse the logistical secret of approching nere to the precise verytye:* 1.2 so that therof most easily you shall p••rc••aue, that your fayle is of the s••nce neuer to be perceaued: it is to wete, as in a lyne of an inch long, not to want or exceede the thousand thousand part: or farther you may (infinitely approche at pleasure. O Mechanicall frend, be of good comfort, put to thy hand: Labor improbus, om∣nia vincit.