The Sumario Compendioso of Brother Juan Díez: The Earliest Mathematical Work of the New World

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Ginn, 1921 - Arithmetic - 63 pages
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Page 5 - casa de Juan Cromberger" was established, prepared to spread the doctrines of the Church to the salvation of the souls of the unbelievers. Cromberger himself never went to Mexico, but his name appears either on the portadas or in the colophons of all the early books. From and after 1545, however, the name is no longer seen, Cromberger having died shortly before this time.
Page 51 - From 20 \ subtract 15 1 and, and you have 4 and |, which is the root of the number itself. 2. A man takes passage in a ship and asks the master what he has to pay. The master says that it will not be any more than for the others.
Page 51 - Reduce 1260 and ^ to fourths; this is equal to £-s!jti, the root of which is 71 halves; subtract from it half of a cosa and there remains 70 halves, which is equal to 35 pesos, and this is what was asked for the passage. Proof: Multiply 35 by itself and you have 1225; adding to it 35, you have 1260, the required number.
Page 3 - ... in the history of education on the American continent, that some record of its contents should be made known to scholars. In order to understand the Sumario Compendioso it is necessary to consider briefly the political and social situation in Mexico in the middle of the sixteenth century.
Page 35 - I bought 9 varas of velvet for as much more than 40 pesos as 13 varas at the same price is less than 70 pesos. How much did a vara cost? Rule: Add the pesos, 40 and 70, making 110.
Page 3 - He founded schools, established a mint, ameliorated the condition of the natives, and encouraged the development of the arts. In his efforts at improving the condition of the people he was ably assisted by Juan de Zumarraga, the first Bishop of Mexico. Among the various activities of these leaders was the arrangement made with the printing establishment of Juan Cromberger of Seville whereby a branch should be set up in the capital of New Spain.
Page 7 - Piru son necessarias a los mercaderes : y todo genero de tratantes. Co algunas reglas tocantes al Arithmetica. Fecho por Juan Diez freyle.
Page 35 - I bought 10 varas of velvet at 20 pesos less than cost, for 34 pesos plus a vara of velvet. How much did it cost a vara? Rule: Add 20 pesos to 34 pesos, making 54 pesos, which will be your dividend. Subtract one from 10 varas, leaving 9. Divide 54 by 9, giving 6, the price per vara. Proof: 10 varas at 6 pesos is 60 pesos. This minus 20 pesos is 40. You paid 34 pesos plus a vara costing 6 pesos, and this gives the result, 40 pesos.
Page 51 - A man takes passage in a ship and asks the master what he has to pay. The master says that it will not be any more than for the others. The passenger on again asking how much it would be, the master replies : " It will be the number of pesos which, multiplied by itself and added to the number, will give 1260.

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