Quadrivium Miscellany with Rithmomachia

reproof? number? of the dividend? without a certain fixed [measure]. But if you suspect that you have erred anywhere in the dividing, the divisor and the denomination In medieval mathematical Latin, "denominatio" refers to the digit being placed in the quotient or result row. shall be multiplied by each other; and if from this multiplication the sum, along with the remainders, can restore the original dividend with no obstacle, know? that you have done it successfully. Therefore, regarding the sum of the division without hindrance? [and] without a difference, you will be able to perform this division very easily in any numbers.

If anyone? ... in dividing? the dividend, it will be placed in its allotted? place; if the greatest? dividend any? equal? number? [is marked] by a character A "caracter" refers to the numerical symbol or "apice" used on the medieval abacus, often marked with Hindu-Arabic numerals. ... then ... the dividend is greater ... or ...? let it be placed on the line of the dividend itself in the first path The "tramitis" or paths refers to the vertical columns on the abacus board representing decimal places (units, tens, hundreds, etc.). ... from each other as if arranged? on a single line ... he places [and] compares the rare? number? so that whatever remains? in the dividend is smaller, because [it is] incommensurable original: "incommensurable"; referring to a remainder that is smaller than the divisor and cannot be further divided into a whole number. by the character of the denomination in that number.? If there be any divisor and something remains from the nut to the hall...? The OCR for the final line "a nucula ad aula" is highly uncertain; "nucula" (little nut) and "aula" (hall/court) could be idiosyncratic names for specific areas of the abacus board or counting table.