18.

This is named after the manner of the psalms original: "de psalmi modo"; a reference to the fifteen "Songs of Ascents" or Gradual Psalms (Psalms 120–134 in the Vulgate).. For instance, there are fifteen steps, as is written in the legend of the birth of the Blessed Virgin original: "beate virginis"; according to the apocryphal "Gospel of James" and the "Golden Legend," the three-year-old Mary miraculously climbed the fifteen steps of the Temple of Solomon without help. when she was of [three] years, she ascended [the steps] as if she had been of a perfect age since she was such that she was drawn toward the altar and [by?] some [others?] [to?] this and [future?].

In our town of Freiburg The author likely refers to Freiburg im Breisgau, a prominent university town in the 15th century., through the [use of] wood... eto nub? | Regarding that which was touched upon above concerning algorism algorism: the medieval system of arithmetic using Hindu-Arabic numerals (0–9), which allowed for complex calculations like "progressions.", here it is shown. In the chapter on natural progression, a rule is also given, namely that a natural progression starting from one triples the total sum, omitting no middle number, such as 1, 2, 3, 4, 5, 6, and so on, so that the following number always exceeds the previous by only one unit.

And if such a progression is made up to fifteen, then the total sum will be 120. This is clearly shown in the rule of algorism in the place mentioned above: where, if a natural progression is made to an odd number, multiply the highest number by the "greater portion" [the middle number] and you will have the total sum. lem. rob. gra He says that for the sake of example, take the highest number, 15; let it be divided into two portions, the smaller portion will be 7 and the greater portion will be 8. He says that thus fifteen times eight will be exactly? 120, which is the total number, and this is evident from practical experience.

Furthermore, as it is said, the ascent to the Temple of Solomon was fifteen steps, and on each step let as many points or coins original: "picta ut denarii" be placed as that step is distant from the tenth step The author is describing a triangular number calculation where the "rank" of the step correlates to its value., and you will see that from the numbers f p f i l e u? there rises again [the sum].

In a game of cards original: "ludo cartarum", in the small suits original: "ranculis"; likely referring to the ranks or "pips" of the cards., the same progression occurs up to 15 inclusively. Let the Marshal marshal: "marschalcus," a high-ranking court official, here used as a face card rank similar to a Knight or Jack. be held as in the... the Queen's handmaiden original: "pediffecā regine" as 12, the Superior Marshal as 13, the Queen as 14, and the King himself as 15. The sum that will rise from these numbers f z p i g? is 120. And therefore, one ought to remain in this number for perfection.