## Mathematical Key: New Combinations in Respect to the Binomial Theorem and Logarithms; and a New Discovery of One General Root Theorem for the Solution of Equations of All Degrees ... |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Other editions - View all

Mathematical Key; New Combinations in Respect to the Binomial Theorem and ... Joseph B. Mott No preview available - 2019 |

Mathematical Key; New Combinations in Respect to the Binomial Theorem and ... Joseph B. Mott No preview available - 2017 |

### Common terms and phrases

Aa² algebra amount Answer appear applying assume authors ba² base become binomial bx² Ca¹ cent coefficient common logarithm compute consider convenient converging series corresponding cubic cx³ decimal denoted determine developing discoveries dividing dx² easy equal equation G examples expand exponent express factors find one value former formula four fourth fraction give Given given equation greater Hence higher inspection interest known least root less let x log a log log(1+r loga manner MATH methods napierian logarithm nearer nearly negative obtain particular places position present propose quadratic reason reduced refer result root theorem rule seen simple square root substitute successively take the equation term thing three roots tion transform trial true value of x whence wish x+x² zero

### Popular passages

Page 4 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.

Page 3 - ... the logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator.

Page 2 - The logarithm of the product of any number of factors is equal to the sum of the logarithms of the factors.

Page 30 - The coefficient of the fourth term, with its sign changed, is equal to the sum of all the products that can be formed by taking the roots three at a time.

Page 30 - Ci dl is a determinant of the fourth order, and it is equal to the sum of all the products that can be formed by...

Page 2 - M=a% and we find du dx= — ; - — . u log.' a If a be the base of a system of logarithms, then x is the logarithm of u in that system, and j — ; — , Algebra, Art.