The Sumario Compendioso of Brother Juan Díez: The Earliest Mathematical Work of the New World |
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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 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. 2. I bought 9 varas of velvet for as much more than 40 pesos as 13...
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 7 - Sumario compendioso de las quentas de plata y oro que en los reynos del Piru son necessarias a los mercaderes: y todo genero de tratantes. Con algunas reglas tocantes at Arithmetica.
Page 7 - Sumario copedioso delas quetas / de plata y oro q en los reynos del Piru son necessarias a los mercaderes : y todo genero de tratantes. Co algunas reglas tocantes al Arithmetica. Fecho por Juan Diez freyle.
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.
Page 7 - He therefore undertook the work for the purpose of assisting those who were engaged in the buying of the gold and silver which was already being taken from the mines of Peru and Mexico for the further enriching of the moneyed class and the rulers of Spain.
Page 61 - ... page is shown in facsimile in the present edition. The rest of the text is reproduced on the left hand pages while the translation appears on the following pages. The last six pages are devoted to algebra, chiefly relating to quadratic equations, and, in closing, the author states that he " wished to set down the things which are necessary and familiar in this kingdom.
Page 7 - ... algebra, chiefly relating to the quadratic equation. The book consists of one hundred and three folios, generally numbered. After the dedication (folios i, v, and ij, r) there is an elaborate set of tables, including those relating to the purchase price of various grades of silver (folio iij, v), to per cents (folio xlix, r), to the purchase price of gold (folio Ivii, v), to assays (folio Ixxxj, r), and to monetary affairs of various kinds.