A Course of Mathematics: Composed for the Use of the Royal Military Academy |
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Page 8
... manner as the first . And thus proceed till the whole is finished , setting down the total amount of the last row . TO PROVE ADDITION . First Method . Begin at the top , and add together all the rows of numbers downwards , in the same ...
... manner as the first . And thus proceed till the whole is finished , setting down the total amount of the last row . TO PROVE ADDITION . First Method . Begin at the top , and add together all the rows of numbers downwards , in the same ...
Page 9
... manner . Demonstration - Let there be any number proposed , as 4658. This , separated into its several parts , becomes 4000 +690 + 50 + 8 . But 4000 4 X 1000 = 4 × ( 999 + 1 ) = 4 × 999 +4 . In like manner 600 = 6 × 99 + 6 ; and 50 = 5 ...
... manner . Demonstration - Let there be any number proposed , as 4658. This , separated into its several parts , becomes 4000 +690 + 50 + 8 . But 4000 4 X 1000 = 4 × ( 999 + 1 ) = 4 × 999 +4 . In like manner 600 = 6 × 99 + 6 ; and 50 = 5 ...
Page 12
... manner till the whole is finished . EXAMPLE . Multiply 9876543210 By Multiplicand . Multiplier ... manner as before . Then if the product found in this way be the same as the former , the number is right . Second Method . ‡ Cast all the ...
... manner till the whole is finished . EXAMPLE . Multiply 9876543210 By Multiplicand . Multiplier ... manner as before . Then if the product found in this way be the same as the former , the number is right . Second Method . ‡ Cast all the ...
Page 12
... manner of placing the terms , is , the dividend in the middle , having the divisor on the left - hand , and the quotient on the right , each separated by a curve line ; as to divide 12 by 4 , the quotient is 3 , Divisor . Dividend ...
... manner of placing the terms , is , the dividend in the middle , having the divisor on the left - hand , and the quotient on the right , each separated by a curve line ; as to divide 12 by 4 , the quotient is 3 , Divisor . Dividend ...
Page 13
... manner of placing the terms , is , the dividend in the middle , having the divisor on the left - hand , and the quotient on the right , each separated by a curve line ; as to divide 12 by 4 , the quotient is 3 , Divisor . Dividend ...
... manner of placing the terms , is , the dividend in the middle , having the divisor on the left - hand , and the quotient on the right , each separated by a curve line ; as to divide 12 by 4 , the quotient is 3 , Divisor . Dividend ...
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Common terms and phrases
algebraic axis bisected centre chord ciphers circle circumference co-ordinates coefficient contained Corol cosec cosine cube root curve decimal denominator denotes diameter difference differential co-efficient distance Divide dividend division divisor draw dy dx equal EXAMPLES exponent expression extract factors feet figure fraction given number greater greatest common measure Hence hyperbola inches latus rectum least common multiple logarithm manner monomial Multiply negative nth root number of terms parallel parallelogram perpendicular plane polynomial positive Prob PROBLEM Prop proportional quotient radius ratio rectangle Reduce remainder right angles rule sides sine square root straight line substitute subtract tangent THEOREM unknown quantity VULGAR FRACTIONS whole number yards