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, Volumen1University at Cambridge, 1801 - 426 páginas |
Dentro del libro
Resultados 1-5 de 28
Página 10
... letter , belonging to the above signs of powers and roots , is called the index , or exponent . A line , or vinculum , drawn over several numbers , sig- nifies , that the numbers under it are to be considered jointly thus , 20—7 + 8 = 5 ...
... letter , belonging to the above signs of powers and roots , is called the index , or exponent . A line , or vinculum , drawn over several numbers , sig- nifies , that the numbers under it are to be considered jointly thus , 20—7 + 8 = 5 ...
Página 153
... many places of figures in the root , as there are points or periods in the given number , and therefore the figures of those places may be represented by letters . Suppose 3 . Place the double of the root , already EVOLUTION . 153.
... many places of figures in the root , as there are points or periods in the given number , and therefore the figures of those places may be represented by letters . Suppose 3 . Place the double of the root , already EVOLUTION . 153.
Página 202
... letters as before , then t S log . r will be a general theorem for the equated time of any two payments , reckoning compound interest , and is found in the same manner as the former . * The reason of this rule is evident from the ...
... letters as before , then t S log . r will be a general theorem for the equated time of any two payments , reckoning compound interest , and is found in the same manner as the former . * The reason of this rule is evident from the ...
Página 209
... worth , and the other letters as before . nx + I tr I & c . to I fir + 1 + 2 + 3r Then И I I p + r + · + + 2r & c . to = n , I + 3r i + tr The C c EXAMPLES . 1. What is the present worth of an ANNUITIES . 209 Annuities at Simple Interest.
... worth , and the other letters as before . nx + I tr I & c . to I fir + 1 + 2 + 3r Then И I I p + r + · + + 2r & c . to = n , I + 3r i + tr The C c EXAMPLES . 1. What is the present worth of an ANNUITIES . 209 Annuities at Simple Interest.
Página 211
... letters as before , then ara Xnxa , and --n . I And from these equations all the cases relating to annuities , or pensions in arrears , may be conveniently exhibited in logarithmic terms , thus : I. Log.n + Log . r2 ' — 1 —Log . r — 1 ...
... letters as before , then ara Xnxa , and --n . I And from these equations all the cases relating to annuities , or pensions in arrears , may be conveniently exhibited in logarithmic terms , thus : I. Log.n + Log . r2 ' — 1 —Log . r — 1 ...
Contenido
182 | |
188 | |
195 | |
202 | |
209 | |
263 | |
269 | |
277 | |
93 | |
99 | |
105 | |
118 | |
125 | |
131 | |
137 | |
147 | |
155 | |
168 | |
175 | |
289 | |
308 | |
326 | |
333 | |
339 | |
354 | |
370 | |
381 | |
392 | |
420 | |
Otras ediciones - Ver todas
Términos y frases comunes
2qrs angle annuity annum arithmetical bushel called carats cent centre circle circumference coefficient common denominator completing the square compound interest cube root cyphers decimal denoted discount Divide dividend division divisor draw equal equation EXAMPLES exponent farthings figures find the value fourth gallons geometrical progression geometrical series give given Line given number greater greatest common measure improper fraction integers least common multiple less number logarithm manner multiplicand Multiply negative NOTE number of terms number of things payment perpendicular pound present worth PROBLEM PROBLEM proportion quotient radius ratio Reduce remainder repetend required to find shews shillings sides simple interest square root subtract Suppose surd taken tare third triangle TROY WEIGHT unknown quantity vulgar fraction Whence whole number yards ΙΟ
Pasajes populares
Página 352 - 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 54 - 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 136 - 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 379 - 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 166 - 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 127 - ... 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 350 - 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 388 - 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 244 - 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 168 - Divide the difference of the extremes by the number of terms, less 1, and the quotient will be the common difference.