The National Arithmetic on the Inductive System: Combining the Analytic and Synthetic Methods : Forming a Complete Course of Higher Arithmetic |
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Σελίδα 4
... and the other fundamental rules , Properties of Numbers , Fractions , Ratio ,
Percentage , Notes and Banking , Roots , etc . ... of alligating , of extracting roots
to any degree , and of reducing numbers from one system of notation to another .
... and the other fundamental rules , Properties of Numbers , Fractions , Ratio ,
Percentage , Notes and Banking , Roots , etc . ... of alligating , of extracting roots
to any degree , and of reducing numbers from one system of notation to another .
Σελίδα 6
371 Division of Circulating DeciExtraction of the Square Root 373 mals . . . . . . . .
226 Extraction of the Cube Root 378 CONTINUED FRACTIONS . . 227 Extraction
of any Root . . 384 RATIO . . . . . . . . . 229 APPLICATIONS OF POWERS AND ...
371 Division of Circulating DeciExtraction of the Square Root 373 mals . . . . . . . .
226 Extraction of the Cube Root 378 CONTINUED FRACTIONS . . 227 Extraction
of any Root . . 384 RATIO . . . . . . . . . 229 APPLICATIONS OF POWERS AND ...
Σελίδα 12
To denote the root of a quantity he also used our present sign , originally r , the
initial of the word radix , root . The sign , to denote equality , was introduced by
Record , the above - named English mathematician , and for this reason , as he
says ...
To denote the root of a quantity he also used our present sign , originally r , the
initial of the word radix , root . The sign , to denote equality , was introduced by
Record , the above - named English mathematician , and for this reason , as he
says ...
Σελίδα 369
The number from which a power is derived is called the root of that power . The
first power is the root , or the number involved . The second power is the product
of the root multiplied by itself once , or used twice as a factor . The third power is ...
The number from which a power is derived is called the root of that power . The
first power is the root , or the number involved . The second power is the product
of the root multiplied by itself once , or used twice as a factor . The third power is ...
Σελίδα 370
multiplication the root is used twice ; once by being taken as the multiplicand ,
and once more as the multiplier . Note 2 . – A fraction is involved by involving
both its numerator and its denominator . EXAMPLES . 1 . What is the 3d power of
8 ?
multiplication the root is used twice ; once by being taken as the multiplicand ,
and once more as the multiplier . Note 2 . – A fraction is involved by involving
both its numerator and its denominator . EXAMPLES . 1 . What is the 3d power of
8 ?
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acres added amount answer Arithmetic balance barrels base bill bought bushels called cent Change ciphers column common compound containing cords cost cube cubic decimal denominator denoting diameter difference discount Divide dividend division divisor dollars equal EXAMPLES exchange expressed factors feet figures four fourth fraction gain gallons give given grains Hence hundred inches interest least common length less loss mean measure method miles mixed months multiplicand Multiply NOTE obtain OPERATION paid payment period pounds premium present prime principal proportion purchased quantity quotient rate per cent ratio received Reduce remainder result root RULE scale share shillings side simple sold square subtract TABLE taken tens third thousand tons true units weight whole number worth write written yards