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

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Results 6-10 of 18

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 190 ALLIGATION ALTERNATL . Page 191

Then , if only one

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

EXAMPLES . 1 . A merchant has spices , some at 9d . per Ib . some at 18 . sume

at 2s . and ...

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 .

EXAMPLES . 1 . A merchant has spices , some at 9d . per Ib . some at 18 . sume

at 2s . and ...

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 galion ; I demand how much rum and how much water I took ? Ans . 95

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

is limited to a given quantity . RULE . Place the

...

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

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

is limited to a given quantity . RULE . Place the

**difference**between the mean rate...

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acres allowing amount annuity annum answer Bought Bring bushels called cents cloth common compound contain continue cost cube currency cyphers decimal demand denominator diameter difference dimes Divide dividend divisor dollars dols equal EXAMPLES farthings Federal Money feet figure fraction gain gallon give given given number given sum gross half hundred inches interest least left hand length less lowest 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 stand subtract sugar Suppose Table tare third thousand units weight whole whole numbers wine yards