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 10
About the middle of the fourth century lived Diophantus , a celebrated
mathematician , who , besides being the first known author on the subject of
Algebra , composed thirteen books on Arithmetic , six of which are still extant .
The next writer of ...
About the middle of the fourth century lived Diophantus , a celebrated
mathematician , who , besides being the first known author on the subject of
Algebra , composed thirteen books on Arithmetic , six of which are still extant .
The next writer of ...
Σελίδα 19
2 . Write five units of the first order . 3 . Write eight units of the second order , with
seven of the first . 4 . Write two units of the third order , with none of the second ,
and one of the first . 5 . Write seven units of the fourth order , with two of the third ...
2 . Write five units of the first order . 3 . Write eight units of the second order , with
seven of the first . 4 . Write two units of the third order , with none of the second ,
and one of the first . 5 . Write seven units of the fourth order , with two of the third ...
Σελίδα 20
Write six units of the sixth order , five of the fifth , four of the fourth , three of the
third , one of the second , and two of the first . 8 . Write one unit of the eighth order
, with none of the seven lower orders . 9 . Write nine units of the ninth order , with
...
Write six units of the sixth order , five of the fifth , four of the fourth , three of the
third , one of the second , and two of the first . 8 . Write one unit of the eighth order
, with none of the seven lower orders . 9 . Write nine units of the ninth order , with
...
Σελίδα 21
The unit of the first period , or right - hand group , is 1 ; of the second , 1 thousand
; of the third , 1 million ; of the fourth , 1 billion ; of the fifth , 1 trillion ; of the sixth , 1
quadrillion ; of the seventh , 1 quintillion ; of the eighth , 1 sextillion , etc .
The unit of the first period , or right - hand group , is 1 ; of the second , 1 thousand
; of the third , 1 million ; of the fourth , 1 billion ; of the fifth , 1 trillion ; of the sixth , 1
quadrillion ; of the seventh , 1 quintillion ; of the eighth , 1 sextillion , etc .
Σελίδα 34
A speculator bought four village lots ; for the first he paid 620 dollars ; for the
second , 416 dollars ; for the third , 350 dollars ; for the fourth , 225 dollars ; and
sold the whole for 2 , 000 dollars . What did he gain ? 4 . Daniel White , dying , left
...
A speculator bought four village lots ; for the first he paid 620 dollars ; for the
second , 416 dollars ; for the third , 350 dollars ; for the fourth , 225 dollars ; and
sold the whole for 2 , 000 dollars . What did he gain ? 4 . Daniel White , dying , left
...
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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