# Mathematics: Compiled from the Best Authors and Intended to be the Text-book of the Course of Private Lectures on These Sciences in the University at Cambridge, Volumen1

University at Cambridge, 1801 - 426 páginas

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### Contenido

 EXPLANATION of Characters 9 Reduction 36 Compound Addition 43 DUODECIMALS 55 Reduction of Vulgar Fractions 63 FEDERAL MONEY 90 Addition of 99 Codjoined 131
 Compound Interest 202 Annuities at Simple Interest 209 Value of an Annuity for ever at Compound Interest 215 LOGARITHMS 243 Description and Use of the Table of Logarithms 250 Simple Equæions 333 252 Division by 257 ALGEBRA 266

 Double 140 Involution 147 Extraction of the Square Root 155 Arithmetical Progression 168 Geometrical 182 by Decimals 193 Equation of Payments 195
 Reduction of two three or more Simple Equations to one 339 Quadratic Equations 354 Cubic and Higher Equations 370 GEOMETRY 381 Problems 392 Construction of the Plane Scale Prob L 420

### Pasajes populares

Página 354 - If A and B together can perform a piece of work in 8 days, A and C together in 9 days, and B and C in 10 days : how many days would it take each person to perform the same work alone ? Ans.
Página 56 - In the same manner multiply all the multiplicand by the inches, or second denomination, in the multiplier) and set the result of each term one place removed to the right 'hand of those in the multiplicand.
Página 138 - As the sum of the several products, Is to the whole gain or loss : So is each man's particular product, To his particular share of the gain or low. EXAMPLES. 1. A, B and C hold a pasture in common, for which they pay 197.
Página 381 - A point is a dimensionless figure ; or an indivisible part of space. A line is a point continued, and a figure of one capacity, namely, length. A superficies is a figure of two dimensions, namely, length and breadth. A solid is a figure of three dimensions, namely, length, breadth, and thickness.
Página 168 - The first term, the last term, and the number of terms given, to find the sum of all the terms. RULE.* — Multiply the sum of the extremes by the number of terms, and half the product will be the answer.
Página 129 - ... have to their consequents, the proportion between the first antecedent and the last consequent is discovered, as well as the proportion between the others in their several respects.
Página 352 - B's, and B's is triple of C's, and the sum of all their ages is 140. What is the age of each ? Ans. A's =84, B's =42, and C's =14.
Página 389 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees; and each degree into 60 minutes, each minute into 60 seconds, and so on.
Página 246 - Briggs' logarithm of the number N ; so that the common logarithm of any number 10" or N is n, the index of that power of 10 which is equal to the said number. Thus, 100, being the second power of 10, will have 2 for its logarithm ; and 1000, being the third power of 10, will have 3 for its logarithm. Hence, also, if 50 = 101-00*7, then is 1.69897 the common logarithm of 50.
Página 170 - Divide the difference of the extremes by the number of terms, less 1, and the quotient will be the common difference.