Excerpt from Logarithmic Tables of Numbers and Trigonometrical Functions
For tables to five figures the interval of one minute may be considered the proper one, because the differences will not be too large to admit of the proportional part for seconds being men tally calculated with readiness. In tables to seven figures this interval has always been recognized as highly inconvenient, on which account Gardiner directed his attention to the diminution of the interval. It is even necessary to diminish the interval to one second, if it be made a condition that the proportional part in this case too is to be mentally calculated. This very small interval, however, gives rise to several new inconveniences, which diminish the advantage of smaller diflerences to such a degree, that tables of this kind have never come much into use, at least with pro fessional computers. Their large form, the excessive number of columns on every page, and the circumstance that even then there is not nearly room enough for all the figures, (the initial figures of the logarithms having to be placed at the top of the columns and the difi'erences altogether omitted, so that they must be calculated by the computer,) make the advantage of the smaller interval very questionable.
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Paperback. Condition: New. Print on Demand. This book, first published in 1742, is a significant mathematical text that contributed to the development of trigonometry. It introduces practical methods for calculating and interpolating logarithmic values, essential for quick and accurate calculations in spherical trigonometry and navigation. The author's systematic arrangement of tables and the inclusion of smaller tables for proportional parts enhance the book's utility, rendering it a valuable resource for mathematicians, astronomers, and navigators alike. The extensive trigonometric tables, covering the full quadrant in ten-second intervals, broaden the scope of the book's applications, making it indispensable in the fields of surveying, shipbuilding, and other disciplines where precise mathematical calculations are crucial. Furthermore, the advanced logarithmic methods presented in this book paved the way for many subsequent mathematical advancements and remain relevant in contemporary scientific research. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781527791732_0
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LX-9781527791732
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LX-9781527791732
Quantity: 15 available