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Umbra Versa.-->

Another maner of the werkinge, by umbra versa-->. Yif so be that thou may nat come to the bas of the tour, I see him thorw at the nombre of 1; I sette ther a prikke at my fot; than go I neer to the tour, and I see him thorw at the poynt of 2, and there I sette another prikke; and I beholde how 1 hath him to 12, and ther finde I that it hath him twelfe sythes; than beholde I how 2 hath him to 12, and thou shalt finde it sexe sythes; than thou shalt finde that 12 passith 6 by the numbre of 6; right so is the space between thy two prikkes the space of 6 tymes thyn altitude. And note, that at the ferste altitude of 1, thou settest a prikke; and afterward, whan thou seest him at 2, ther thou settest another prikke; than thou findest betwyx thes two prikkys 60 foot; than thou shalt finde that 10 is the 6-party of 60. And then is 10 feet the altitude of the tour. For other poyntis, yif it fille in umbra versa-->, as thus: I sette caas it fill upon 2, and at the secunde upon 3; than schalt thou finde that 2 is 6 partyes of 12; and 3 is 4 partyes of 12; than passeth 6 4, by nombre of 2; so is the space between two prikkes twyes the heyghte of the tour. And yif the differens were thryes, than shulde it be three tymes; and thus mayst


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thou werke fro 1 to 12; and yif it be 4, 4 tymes; or 5, 5 tymes; et sic de ceteris-->.