Mathematical Tables: Containing Common, Hyperbolic, and Logistic Logarithms. Also Sines, Tangents, Secants, and 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 Compleat Description and Use of the Tables
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2d differences alſo angle anſwering arithmetical arithmetical mean becauſe beſides Briggs Briggs's canon caſe chords Cofine complement compoſed conſidered conſiſts conſtruction correſponding Coſec coſine Cotang courſe Coverſ D|Pts decimal deſcribed Diff diſtance diviſion equal expreſſed fide find the logarithm fines firſt fluxion given number greateſt himſelf hyperbolic hypotenuſe increaſe inſtead Io'o Io'oz Ioroi laſt latitude leaſt leſs loga logar meaſure moſt multiplied Napier natural numbers º º obſerved ºº oppoſite places of figures produćt Prop proportion propoſed propoſition publiſhed quadrant quotient radius ratio repreſentative reſpectively rithms root ſaid ſame ſays ſcale Secant Coverſ ſecond ſeries ſet ſeveral ſhall ſhews ſide ſigned ſince Sine ſines ſmall ſome ſought ſpherical ſquare ſubtract ſuch ſum ſuppoſed ſyſtem Tang tangents and ſecants theorem theſe thoſe to'o triangle trigonometry uſe Verſ Verſedſ whoſe
Page 104 - Now thefe rativncula are fb to be underflood 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 133 - ... or else subtract it from the negative. Also, adding the indices together when they are of the same kind, both affirmative or both negative ; but subtracting the less from the greater, when the one is affirmative and the other negative, and...
Page 125 - 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 above two logarithms, and the logarithm of 10, which is 1 , we may obtain a great many logarithms, as in the following examples : 3.
Page 23 - Marcheston near Edinburgh, and told him, among other discourses, of a new invention in Denmark, (by Longomontanus as 'tis said) to save the tedious multiplication and division in astronomical calculations. Neper being solicitous to know...
Page 23 - ... 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 104 - RatiuncuU between any other two Terms, as the Logarithm of the one Ratio is to the Logarithm of the other. Thus if there be fuppofed between i and ю an infinite Scale of Mean Proportionals, whofe Number is IOOOOOC^T.
Page 115 - Ärft figute of the logarithm fought. Again, dividing 2 the number propofed by 1,995262315 the number found in the table, the quotient is 1,002374467 ; which being looked for in the fécond clafs of the table, and finding neither its equal nor a lefs, О is therefore to be taken for the fécond figure of the logarithm ; and the fame quotient 1,002374467 being looked for in the third clafs, the next lefs is there found to be...
Page 148 - ... &c. each in its proper column, the title being at the top or bottom, according as the degrees are. But when the given arc contains any parts of a minute, intermediate to those found in the table, take the difference between the tabular sines, &c.