Quadrivium Miscellany with Rithmomachia

taken from the pyramid; if all the squares tetragonos; square numbers, which form the layers of a square pyramid piece are added together, then [the value] is made from the pyramid. From this, a small similar [part] composed of squares [is taken], and it is called "truncated" curta; a pyramid that has lost its top layers through capture, leaving only the lower base layers. If in the bases
74 not only in the bases of 74 and 46 original: xxxxvi; these numbers refer to the total values of the layers of the pyramid pieces, the pyramids are captured; if whatever number, multiplied by the quantity of spaces, produces those same bases, the pyramids may be captured.

To such a capture all spaces are subject: whether they be even, or partly even, or odd, or odd within themselves, divided and composite This refers to the classification of numbers derived from Boethian arithmetic: par, impar, compositi, etc.. Only the first prime and composite numbers of the wandering ones original: vagentium; likely referring to the mobile pieces as they move across the board should be thus surrounded on all sides by enemies, so that they cannot escape through a legitimate move. However many times this happens, so many times are they captured.

By such a casting off of other moves, once all pieces have been moved from their original starting positions, he who desires victory should hasten to place "means" medietates; mathematical proportions where three numbers share a specific relationship in the opponent's fields: specifically the arithmetic and harmonic means, both of which consist of three terms—the maximum, the middle, and the minimum—whether they are formed diagonally or in a straight line. Thus he may claim victory as long as someone can enter or find those terms. He who first places both terms and neither in a straight line against the adversary—it should not be allowed...