The Tutor's Guide: Being a Complete System of Arithmetic; with Various Branches in the Mathematics ... To which is Added, an Appendix, Containing Different Forms of Acquittances, Bills of Exchange, &c. &c. ...G. Wilkie, 1815 - 320 pages |
From inside the book
Results 1-5 of 17
Page 61
... numbers in such order , that the first and third terms be of the same kind ; and the second of the same with the number required . 2. If your first and third terms consist of different denomina- tions , reduce them into one , and the ...
... numbers in such order , that the first and third terms be of the same kind ; and the second of the same with the number required . 2. If your first and third terms consist of different denomina- tions , reduce them into one , and the ...
Page 128
... number of terms are odd , as 2 , 4 , 6 , 8 , 10 , the double of the middle figure or term will be equal to the the sum of the extremes , or any two means equally distant from the middle term : Viz . 2 , 4 , 6 , 8 , 10 . 6 × 2 = 2 + 10 ...
... number of terms are odd , as 2 , 4 , 6 , 8 , 10 , the double of the middle figure or term will be equal to the the sum of the extremes , or any two means equally distant from the middle term : Viz . 2 , 4 , 6 , 8 , 10 . 6 × 2 = 2 + 10 ...
Page 129
... number of terms , and divide the product by 2. The quotient will be the sum of all the series . Or multiply the sum of the two ex- tremes by half the number of terms . EXAMPLES . ( 1 ) How many strokes do the clocks at Venice ( which ...
... number of terms , and divide the product by 2. The quotient will be the sum of all the series . Or multiply the sum of the two ex- tremes by half the number of terms . EXAMPLES . ( 1 ) How many strokes do the clocks at Venice ( which ...
Page 130
... term , the common difference , and the num- ber of terms are given , to find the first term . RULE . Multiply the number of terms , less unity or 1 , by the com- mon difference ; the product subtracted from the last term leaves the ...
... term , the common difference , and the num- ber of terms are given , to find the first term . RULE . Multiply the number of terms , less unity or 1 , by the com- mon difference ; the product subtracted from the last term leaves the ...
Page 131
... number of terms , common difference , and the sum of all the terms are given , to find the first term . RULE . Divide the sum of all the series by the number of terms , and from that quotient subtract half the product of the com- mon ...
... number of terms , common difference , and the sum of all the terms are given , to find the first term . RULE . Divide the sum of all the series by the number of terms , and from that quotient subtract half the product of the com- mon ...
Common terms and phrases
a-year acres amount annuity annum arithmetical progression avoirdupois Bought breadth Bushels ciphers circumference common difference compound compound interest contained Copecs cost crown cube root decimal demand denominator diameter ditto Divide dividend divisor dwts equal EXAMPLES exchange Exercise at leisure Farthings feet figure Flemish frustum gain gallons give given number given quantity guilders guineas half half-yearly hhds hundred improper fraction inches Integer length London measure miles moidore months Multiplicand Multiply number of days number of terms ounces paid payable payment pence person piece Pints pounds pounds sterling present worth principal proceed proportion put to interest quarters QUESTIONS for Exercise quotient rate per cent ready money Reduce remainder rent repetend RULE shillings side sold solid square root sterling subtract Suppose Table tare THEOREM VULGAR FRACTIONS weight whole number wine yards yearly
Popular passages
Page 124 - There is a fish whose head is 6 inches long, and the tail is as long as the head and half the body, and the body is as long as the head and tail ; what is the length of the whole fish?
Page 139 - Now .} of f- is a compound fraction, whose value is found by multiplying the numerators together for a new numerator, and the denominators for a new denominator.
Page 133 - Any three of the five following things being given, the other two may be found. 1. The first term. 2. The last term. 3. The number of terms.
Page 75 - ... dollars. How many days did he work, and how many days was he idle ? Ans.
Page 246 - Multiply the circumference of the base by the slant height or length of the side, and half the product 'will be the surface.
Page 177 - To find the aide of a cube that shall be equal in solidity to any given solid, as a globe, cylinder, prism, cone, Ifc.
Page 24 - Add the first column or denomination together, ať in whole numbers ; then divide the sum by as many of the same denomination as make one of the next greater, setting down the remainder under the column added, and carry the quotient to the next superior denomination, continuing the same to the last, which add, as in simple addition
Page 10 - When the divisor is large, the pupil will find assistance in determining the quotient figure, by finding how many times the first figure of the divisor is contained in the first figure, or if necessary, the first two figures of the dividend.
Page 263 - The workmen thought that substituting part silver was only a proper <perquisite; which taking air, Archimedes was appointed to examine it ; who, on putting...
Page 170 - Reduce the fraction to its lowest terms, then extract the square root of the numerator for a new numerator, and the square root of the denominator for a new denominator.