ARITHMETIC

106. and in short, go on repeating this same operation as many times as the number of years of the interestoriginal: "merito"; refers to the accumulated earnings or profit on a loan or investment.; and in the present example, since the interest is for five years, you must repeat the operation five times. And finally, measuring straightlyoriginal: "rettamente"; a measurement taken along the length of a single leg of the compass, usually starting from the center hinge. the interval you have taken, you will find it contains 187 and one-third points; and that many scudiA gold or silver coin used in various Italian states; Galileo uses it here as a standard unit of currency. the 140 placed at the beginning will have become, with the gain of the six percentoriginal: "sei per cento"; the annual interest rate used in this example., in the space of five years. And note that if it were more convenient for you to use 200 and 212 instead of 100 and 106, as will often happen, the same result will be found.

The other way of operating requires no other change in the Instrumentoriginal: "Strumento"; referring to the Geometric and Military Compass. than a single initial adjustment, and it proceeds as follows. Using the same problem set above: to adjust the Instrument, take 100 with its first interest, that is 106, straightly, and having opened the Instrument, apply it transverselyoriginal: "trasuersalmente"; a measurement taken across the opening of the compass, from a point on one leg to the corresponding point on the other. to 100, and you shall move the Instrument no more. Then take transversely the proposed sum of money, which was 140, and measure it straightly, and you will see the gain of the first year to be 148 and two-fifths, including however the capitaloriginal: "capitale"; the original principal sum of money. as well. To find the second year, take this 148 and two-fifths transversely, and without further ado measure it straightly, and you will find 157 and one-third for the second year. Then take this same number 157 and one-third transversely, and measure it straightly again, and you will find 166 and three-quarters for the capital and gain of the third year. Take this 166 and three-quarters transversely once more and measure it straightly, and you will have for the fourth year 176...