## Mathematical Tables;: Containing the Common, Hyperbolic, and Logistic Logarithms, Also Sines, Tangents, Secants, & Versed-sines Both Natural and Logarithmic. Together with Several Other Tables Useful in Mathematical Calculations. To which is Prefixed a Large and Original History of the Discoveries and Writings Relating to Those Subjects; with the Complete Description and Use of the TablesF. C. and J. Rivington; Wilkie and Robinson; J. Walker; Lackington, Allen, and Company; Vernor, Hood, and Sharpe; C. Law; Longman, Hurst, Rees, Orme and Brown; Black, Parry, and Kingsbury; J. Richardson; L.B. Seeley; J. Murray; R. Baldwin; Sherwood, Neely and Jones; Gale and Curtis; J. Johnson and Company; and G. Robinson., 1811 - Mathematics - 133 pages |

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Page 14 - The rectangle contained by the diagonals of a quadrilateral inscribed in a circle is equal to the sum of the two rectangles contained by its opposite sides.

Page 29 - Seeing there is nothing (right well-beloved Students of the Mathematics) that is so troublesome to mathematical practice, nor that doth more molest and hinder calculators, than the multiplications, divisions, square and cubical extractions of great numbers, which besides the tedious expense of time are for the most part subject to many slippery errors, I began therefore to consider in my mind by what certain and ready art I might remove those hindrances.

Page 60 - Kepler's work, however, it may not be improper in this place to take notice of an...

Page 40 - Tables of Logarithms, for all numbers from 1 to 102100, and for the sines and tangents to every ten seconds of each degree in the quadrant; as also, for the sines of the first 72 minutes to every single second : with other useful and necessary tables...

Page 134 - DIVISION BY LOGARITHMS. RULE. From the logarithm of the dividend subtract the logarithm of the divisor ; the remainder will be the logarithm of the quotient EXAMPLE I.

Page 165 - Ixi following. But when the perpendicular falls out of the triangle, the difference of the two arcs will be the side required. PROP. XXVI. — Having two sides, and the angle opposite to one of them ; to find the angle between them.

Page 107 - ... as in a continued scale of proportionals, infinite in number, between the two terms of the ratio ; which infinite number of mean proportionals, is to that infinite number of the like and equal...

Page 128 - Then, because the sum of the logarithms of numbers, gives the logarithm of their product ; and the difference of the logarithms, gives the logarithm of the quotient of the numbers : from the tw...

Page 24 - ... numbers. Which hint Neper taking, he desired him at his return to call upon him again. Craig, after some weeks had passed, did so, and Neper then shewed him a rude draught of that he called ' Canon Mirabilis Logarithmorum.

Page 136 - Multiply the logarithm of the number given by the proposed index of the power, and the product will be the logarithm of the power sought Note.