Daboll's Schoolmaster's Assistant: Improved and Enlarged : Being a Plain and Practical System of Arithmetick Adapted to the United States |
From inside the book
Results 6-10 of 13
Page 169
Improved and Enlarged : Being a Plain and Practical System of Arithmetick
Adapted to the United States Nathan Daboll. YAD of 2 What is the square root of
1296 ? 3 Of 56041 ? 54990 : 25 ? 36372961 ? 6 Of 184 , 2 ? 9712 , 693209 ?
Improved and Enlarged : Being a Plain and Practical System of Arithmetick
Adapted to the United States Nathan Daboll. YAD of 2 What is the square root of
1296 ? 3 Of 56041 ? 54990 : 25 ? 36372961 ? 6 Of 184 , 2 ? 9712 , 693209 ?
Page 170
Extract the square root of the given number . 75184372 Ans . PROB . II . A certain
square pavement contains 20730 square stones , all of the same size ; I demand
how many are contained in one of its sides ? 20736 = 144 Ans . Prob . III .
Extract the square root of the given number . 75184372 Ans . PROB . II . A certain
square pavement contains 20730 square stones , all of the same size ; I demand
how many are contained in one of its sides ? 20736 = 144 Ans . Prob . III .
Page 171
Rule . - From the square of their sum , subtract 4 times their product , and extract
the square root of the remainder , which will be the difference of the two numbers
; then half the said difference added to half the sum , gives the greater of the two ...
Rule . - From the square of their sum , subtract 4 times their product , and extract
the square root of the remainder , which will be the difference of the two numbers
; then half the said difference added to half the sum , gives the greater of the two ...
Page 172
26 x 26 = 676 300 – 202800 ) 823744 2d dividend . 811200 4 * 4 = 16x26 = 416
x 30 = 12480 4X4X4 = 64 823744 2d subtrahanda - NOTE . — The foregoing
example gives a perfect root 172 EVOLUTION , OR EXTRACTION CF ROOTS .
26 x 26 = 676 300 – 202800 ) 823744 2d dividend . 811200 4 * 4 = 16x26 = 416
x 30 = 12480 4X4X4 = 64 823744 2d subtrahanda - NOTE . — The foregoing
example gives a perfect root 172 EVOLUTION , OR EXTRACTION CF ROOTS .
Page 173
NOTE . — The foregoing example gives a perfect root ; and if , when all the
periods are exhausted , there happens co he a remainder , you may annex
periods of ciphers , and cortinue the operation as far as you think it necessary .
Answers 2 .
NOTE . — The foregoing example gives a perfect root ; and if , when all the
periods are exhausted , there happens co he a remainder , you may annex
periods of ciphers , and cortinue the operation as far as you think it necessary .
Answers 2 .
What people are saying - Write a review
We haven't found any reviews in the usual places.
Other editions - View all
Common terms and phrases
acres added allowing amount annuity annum answer Billings Bought breadth Bring bushels called cent ciphers cloth common compound containing continue cost cube currency decimal demand denominator difference Divide dividend divisor dollars dols English Entered equal EXAMPLES farthings federal money feet figures fraction gain gallon give given given sum gross half hundred inches interest length less loss measure method miles millions mills mixed months Multiply neat New-York nine paid payment pence period piece pound present worth principal proportion quantity question quotient ratio received Reduce remainder right hand rods root RULE sell share shillings simple sold solid square stands subtract sugar Suppose TABLE tare term third thousand units weight whole whole numbers wine yards
Popular passages
Page 162 - Compute the interest to the time of the first payment ; if that be one year or more from the time the interest commenced, add it to the principal, and deduct the payment from the sum total If there be after payments made, compute the interest on the balance due to the next payment, and then deduct the payment as above ; and, in like manner, from one payment to another, till all the payments are absorbed; provided the time between one payment and another be one year or more.
Page 162 - But if any payments be made before one year's interest hath accrued, then compute the interest on the principal sum due on the obligation, for one year, add- it to the principal, and compute the interest on the sum paid, from the time it was paid up to the end of the year; add it to the sum paid, and deduct that sum from the principal and interest, added as above...
Page 190 - If the errors are alike, divide the difference of the products by the difference of the errors, and the quotient will be the answer.
Page 154 - Multiply all the numerators together for a new numerator, and all the denominators for a new denominator: then reduce the new fraction to its lowest terms.
Page 185 - The first term, the last term (or the extremes) and the ratio given, to find the sum of the series RULE. Multiply the last term by the ratio, and from the product subtract the first term...
Page 226 - Obligation to be void, otherwise to remain in full force and virtue.
Page 124 - When the debtor keeps the annuity in his own hands beyond the time of payment, it is said to be in arrears. The sum of all the annuities for the time they have been foreborne, together with the interest due on each, is called the amount.
Page 177 - Alligation Alternate. ALLIGATION MEDIAL, Is when the quantities and prices of several things are given, to find the' mean price of the mixture compounded of those things.
Page 159 - The amount, principal, and rate per cent, given, to find the time. RULE. Subtract the principal from the amount; divide the remainder by the product of the ratio and principal; and the quotient -will be the time. EXAMPLES. 1. In what time will 950 dols. 75 cts. amount to 1235 dollars, 97,5 cents, at 6 per cent, per annum ? From the amount 81235,975 Take the principal 950,75 950,75x06=57,0450)285,2250(5 years, Ans.
Page 91 - Multiply the second and third terms together, and divide their product by the first term; and the quotient will be the answer to the question, in the same denomination you left the second term in, which may be brought into any other denomination required.
Bibliographic information
| Title | Daboll's Schoolmaster's Assistant: Improved and Enlarged : Being a Plain and Practical System of Arithmetick Adapted to the United States |
| Author | Nathan Daboll |
| Contributor | Andrus, Woodruff & Gauntlett |
| Publisher | Andrus, Woodruff & Gauntlett, 1813 |
| Original from | Harvard University |
| Digitized | 28 Aug 2007 |
| Length | 240 pages |
| Export Citation | BiBTeX EndNote RefMan |