A Course of Mathematics: In Two Volumes. For the Use of the Royal Military Academy, Volume 1 |
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Page vi
Much of the phraseology , and the entire notation , of former editions has been modernised , and an attempt has been made to render it , with the exceptions already specified , consistent and systematic throughout . T. S. Davies .
Much of the phraseology , and the entire notation , of former editions has been modernised , and an attempt has been made to render it , with the exceptions already specified , consistent and systematic throughout . T. S. Davies .
Page 4
... in the second place , denotes ten times its simple value ; and that in the third place , a hundred times its simple value ; and so on : the value of any figure , in each successive place , being always ten times its former value .
... in the second place , denotes ten times its simple value ; and that in the third place , a hundred times its simple value ; and so on : the value of any figure , in each successive place , being always ten times its former value .
Page 7
Also the sum of the figures in the sum total 18304 , is 16 , the excess of which above 9 is also 7 , the same as the former . * EXAMPLE I. 5 5 Excess of nines . lvl * This method of proof depends on a property of the number 9 , which ...
Also the sum of the figures in the sum total 18304 , is 16 , the excess of which above 9 is also 7 , the same as the former . * EXAMPLE I. 5 5 Excess of nines . lvl * This method of proof depends on a property of the number 9 , which ...
Page 8
... the reason of the rule itself evident : for the excess of 9s in two or more numbers being taken separately , and the excess of 9s taken also out of the sum of the former excesses , it is plain that this last excess must be equal to ...
... the reason of the rule itself evident : for the excess of 9s in two or more numbers being taken separately , and the excess of 9s taken also out of the sum of the former excesses , it is plain that this last excess must be equal to ...
Page 11
Make the multiplicand and multiplier change places , and multiply the latter by the former in the same manner as before . Then if the product found in this way be the same as the former , the number is right . Second Method .
Make the multiplicand and multiplier change places , and multiply the latter by the former in the same manner as before . Then if the product found in this way be the same as the former , the number is right . Second Method .
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A Course of Mathematics: Composed for the Use of the Royal Military Academy Charles Hutton No preview available - 2015 |
Common terms and phrases
added algebraic angle answer applied arithmetical base called centre circle coefficients common compound contained continued cube decimal denominator denote describe diameter difference distance divided division divisor double draw drawn equal equation EXAMPLES expression extremes factors figure former four fraction functions give given greater half hence interest intersection join latter length less manner means measure meeting method Multiply obtained operation opposite parallel parallelogram perpendicular plane position principal PROBLEM proportional quantity question quotient radius ratio rectangle Reduce remainder respectively result right angles root rule sides signs simple solution square subtract successive supposing taken THEOREM third triangle Whence whole yards