A New System of Arithmetick: In which the Rules are Familiarly Demonstrated and the Principles of the Science Clearly and Fully Explained ...Knowlton & Rice, 1832 - 263 páginas |
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Página 13
... PROOF . Add the columns downwards , as you added upwards , and if the same amount is produced , the work is presumed to be right . Two parallel lines denote equality ; thus , 6 and 2-8 , that is 6 and 2 are equal to 8 . For the sake of ...
... PROOF . Add the columns downwards , as you added upwards , and if the same amount is produced , the work is presumed to be right . Two parallel lines denote equality ; thus , 6 and 2-8 , that is 6 and 2 are equal to 8 . For the sake of ...
Página 15
... PROOF . In proving the work we commence adding at the top , by saying 6 and 8 are 14 . Here we find the last amount to equal the 14 Amount . first ; consequently the work is right accord- ing to our method of proof ; and it is evident ...
... PROOF . In proving the work we commence adding at the top , by saying 6 and 8 are 14 . Here we find the last amount to equal the 14 Amount . first ; consequently the work is right accord- ing to our method of proof ; and it is evident ...
Página 20
... denoted by a horizontal line ; thus , 6-3 ÷ 3 signifies that the difference between 6 and 3 , is 3 . PROOF . 1st . Method . Add the difference between the given numbers to the subtrahend , and if the amount 20 SIMPLE SUBTRACTION .
... denoted by a horizontal line ; thus , 6-3 ÷ 3 signifies that the difference between 6 and 3 , is 3 . PROOF . 1st . Method . Add the difference between the given numbers to the subtrahend , and if the amount 20 SIMPLE SUBTRACTION .
Página 22
... PROOF . According to the 1st method . 46 DEMONSTRATION . - Nothing can be more plain , than the 32 proof of this rule . Because it is clear , that it can take no more than the difference between two numbers , to make the less e- 1 4 ...
... PROOF . According to the 1st method . 46 DEMONSTRATION . - Nothing can be more plain , than the 32 proof of this rule . Because it is clear , that it can take no more than the difference between two numbers , to make the less e- 1 4 ...
Página 23
... proof of addition , had you been acquainted with the rule . It is a say- ing of the school boy , that it is a poor rule that will not work both ways . We have already proved subtraction by addition ; then to make the rule good according ...
... proof of addition , had you been acquainted with the rule . It is a say- ing of the school boy , that it is a poor rule that will not work both ways . We have already proved subtraction by addition ; then to make the rule good according ...
Otras ediciones - Ver todas
A New System of Arithmetick: In Which the Rules Are Familiarly Demonstrated ... William Ruger Sin vista previa disponible - 2016 |
A New System of Arithmetick: In Which the Rules Are Familiarly Demonstrated ... William Ruger Sin vista previa disponible - 2016 |
Términos y frases comunes
100 dollars 2qrs 3qrs acres adding amount annuity answer bought bushels called carats cents ciphers common difference compound contained cube root cubick currency decimal diameter dimes divi dividend division divisor equal errour evident EXAMPLES expresses farthings federal money gain gallon given number given sum half hogsheads hundred hundredths improper fraction inches inferiour denominations integer interest left hand figure length less lowest terms mills minuend months multiplicand neat weight NOTE number of terms obtain the price ounces payment pence pennyweights plain pounds present worth principal Proof proportion quantity question quotient figure Reduce remainder repeated right hand figure Rule of Three RULE.-Multiply second term separatrix share shil shillings side simple solid feet square root student subtract subtrahend tare Tare and Tret tenths third term thousandths Three Direct tion unit VULGAR FRACTIONS whole numbers yards cost
Pasajes populares
Página 193 - ... but if the blank fall under the first or second term, the proportion is inverse ; then multiply the third and fourth terms together for a divisor, and the other three for a dividend, and the quotient will be the answer. EXAMPLES.
Página 125 - RULE. Divide as in whole numbers, and from the right hand of the quotient point off as many places for decimals as the decimal places in the dividend exceed those in the divisor.
Página 6 - India paper would have to be requisitioned in order to contain the complete tale of its printed integers of units, tens, hundreds, thousands, tens of thousands, hundreds of thousands, millions, tens of millions, hundreds of millions, billions, the nucleus of the nebula...
Página 229 - To reduce a mixed number to an improper fraction, Multiply the whole number by the denominator of the fraction, and to the product add the numerator; under this sum write the denominator.
Página 144 - The rule for casting interest, when partial payments have been made, is to apply the payment, in the first place, to the discharge of the interest then due. If the payment exceeds the interest, the surplus goes towards discharging the principal, and the subsequent interest is to be computed on the balance of principal remaining due. If the payment be less than the interest, the surplus of interest must not be taken to augment the principal; but interest continues on the former principal until the...
Página 241 - When any number of terms is continued in Geometrical Progression, the product of the two extremes will be equal to any two means, equally distant from the extremes : As 2, 4, 8, 16, 32, 64, where 64X2=4X32=8X16=128.
Página 4 - L, fifty; C, one hundred; D, five hundred ; M, one thousand.
Página 235 - Multiply all the numerators together for a new numerator, and all the denominators together for a new denominator.
Página 174 - Fellowship with time, is when the stocks of partners are continued unequal times. RULE. — Multiply each man's stock by the time it was continued in trade. Then, As the whole sum of the products is to the whole gain or loss, so is each man's particular product to his particular share of the loss or gain.* EXAMPLES.
Página 229 - To reduce an improper fraction to a whole or mixed number. RULE. Divide the numerator by the denominator, and the quotient will be the whole or mixed number sought.