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Navigation: The Method of the Marteloio (p. 48b)


Navigation: The Method of the Marteloio (p. 48b)


This is the fourth page of Michael's demonstration of the marteloio method for navigating "mentally." Michael now completes his explanation of how to calculate the distance to land that has been sighted to the west. At the bottom of the page, he gives a second example of the trigonometric table on which the method was based. None of the rules of the marteloio required any actual use of trigonometry.

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+ Ihesus + 11 fano 418, parti per 10, serano mia 41 8/10 tu avera chaminado. E che serastu alargo quando te sta intro ponente garbin, che xe l'alargar de quatro quarte sono 71/10 e lo ritorno de 6/4 son 11? Moltipicha 71/10 fia 11/1, fano 781, parti per 10, serano mia 78 1/10. Tanto serastu alargo. E per saver quel che tu ieri alargo la sera quando te steva per ponente, torna per lo contrario del tuo andar, e va per siro- cho quel che te romagna per ponente, quel che te steva intro po- nente garbin tu andera mia 53 1/5. Abatti el quarto, ro- man mia 39 9/10, e seratu alargo mia 126 4/5. Abati el quar- to, ne roman mia 96 2/5. E tanto eristu alargo la sera. alargar avanzar ritorno avanzo de ritorno 1 quarta 20 2 _ _ 38 3 _ _ 55 4 _ _ 71 5 _ _ 83 6 _ _ 92 7 _ _ 98 8 _ _ 100 1 quarta 98 2 _ _ 92 3 _ _ 83 4 _ _ 71 5 _ _ 55 6 _ _ 38 7 _ _ 20 8 _ _ 0 1 quarta 51 2 _ _ 26 3 _ _ 18 4 _ _ 14 5 _ _ 12 6 _ _ 11 7 _ _ 10 1/5 8 _ _ 10 1 quarta 50 2 _ _ 24 3 _ _ 15 4 _ _ 10 5 _ _ 6 1/2 6 _ _ 4 7 _ _ 2 1/5 8 _ _ 0 //

+ Jesus + 11 makes 418, divided by 10 will be 41 8/10 miles that you will have traveled. And how far away will you be when it stands west southwest, of which the distance off course of 4 quarters is 71/10 and the return of 6 quarters is 11? Multiply 71/10 by 11/1, makes 781, divide by 10, it will be 78 1/10 miles. You will be that far away. And to know how far away you were yesterday when it stood to the west, go back the opposite of your course, and go south- east that which remains to the west, such that it stands west southwest you will go 53 1/5 miles. Reduce by a quarter and 39 9/10 miles remains, and you will be 126 4/5 miles away. Reduce by a quar- ter, there remains 96 2/5 miles. And you were that far away in the evening. distance off course advance return advance on return 1 quarter 20 2 _ _ 38 3 _ _ 55 4 _ _ 71 5 _ _ 83 6 _ _ 92 7 _ _ 98 8 _ _ 100 1 quarter 98 2 _ _ 92 3 _ _ 83 4 _ _ 71 5 _ _ 55 6 _ _ 38 7 _ _ 20 8 _ _ 0 1 quarter 51 2 _ _ 26 3 _ _ 18 4 _ _ 14 5 _ _ 12 6 _ _ 11 7 _ _ 10 1/5 8 _ _ 10 1 quarter 50 2 _ _ 24 3 _ _ 15 4 _ _ 10 5 _ _ 6 1/2 6 _ _ 4 7 _ _ 2 1/5 8 _ _ 0 //