## Daboll's Schoolmaster's Assistant: Improved and Enlarged, Being a Plain Practical System of Arithmetic, Adapted to the United States |

### From inside the book

Page 183

RULE . From the square of their sum , subtract 4 times their product , and extract

the square root of the remainder , which will be the

; then half the said

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 190

Place the

of the simples , opposite to the rates with which they are connected . 4. Then , if

only one

Place the

**difference**, between the mean price ( or mixture rate ) and that of eachof the simples , opposite to the rates with which they are connected . 4. Then , if

only one

**difference**stands against any 190 ALLIGATION ALTERNATL . Page 191

Then , if only one

belonging to that rate , but if there be several , their sum will be the quantity .

LXAMPLES . Answon . 1. A merchant has spices , some at 9d . per Ib . some at 1s

. some at ...

Then , if only one

**difference**stands against any rate , it will be the quantitybelonging to that rate , but if there be several , their sum will be the quantity .

LXAMPLES . Answon . 1. A merchant has spices , some at 9d . per Ib . some at 1s

. some at ...

Page 192

RULE . Take the

them alternately as in Case I. Then , as the

simple whose quantity is given , is to that quantity : so is each of the other

RULE . Take the

**difference**between each price , and the mean rate , and placethem alternately as in Case I. Then , as the

**difference**standing against thatsimple whose quantity is given , is to that quantity : so is each of the other

**differences**... Page 193

4d . per gallon ; I demand how much rum and how much water I took ? Ans . 95

gals . rum at 6s . 8d . and so gals . water . 41 cents per CASE III . When the whole

composition is limited to a given quantity . RULE . Place the

4d . per gallon ; I demand how much rum and how much water I took ? Ans . 95

gals . rum at 6s . 8d . and so gals . water . 41 cents per CASE III . When the whole

composition is limited to a given quantity . RULE . Place the

**difference**between ...### What people are saying - Write a review

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allowing amount annuity annum answer Bought Bring bushels called cent cloth common contain continue cost cube currency cyphers decimal demand denominator difference Divide dividend divisor dollars dols Entered equal EXAMPLES farthings Federal Money feet figure Find the value fraction gain gallon give given given number given sum gross half hhds hundred inches interest June least left hand length less loss lowest measure merchant miles mills mixed months Multiply neat weight New-York paid payment pence period piece pound principal proportion quantity question quotient ratio received Reduce remainder right hand RULE sell share shillings simple sold solid sort square root stands sterling subtract sugar Table tare term third thousand unit whole whole number wine yards