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Resultat 1-5 av 27
Side 126
... extract the square root of x2 - 6ax5 + 15a2x2 - 20a3x3 + 15a2x2 - 6ax + a® . The operation may be arranged as before , x3- 6ax3 + 15a2x2 - 20a3x3 + 15a2x2 - 6a3x + a® ( x3 - 3ax2 + 3a2x — a3 2x3 - 3x2 ) — 6ax + 15a3x * —20a3 × 3 + ...
... extract the square root of x2 - 6ax5 + 15a2x2 - 20a3x3 + 15a2x2 - 6ax + a® . The operation may be arranged as before , x3- 6ax3 + 15a2x2 - 20a3x3 + 15a2x2 - 6a3x + a® ( x3 - 3ax2 + 3a2x — a3 2x3 - 3x2 ) — 6ax + 15a3x * —20a3 × 3 + ...
Side 128
... square less than 4300 ; this is found to be 60. Subtract a2 , that is the square of 60 , from the given number , and the remain- der is 756. Divide this remainder by 2a , that ... Extract the square root of 611524 ; also of 128 EVOLUTION .
... square less than 4300 ; this is found to be 60. Subtract a2 , that is the square of 60 , from the given number , and the remain- der is 756. Divide this remainder by 2a , that ... Extract the square root of 611524 ; also of 128 EVOLUTION .
Side 129
Isaac Todhunter. 242. Extract the square root of 611524 ; also of 10246401 . 6 i 15 2 4 ( 7 82 49 1 0 2 4 6 4 0 i ( 3 ... square root of a decimal follows from the preceding rule . We must observe , however , that any decimal be squared ...
Isaac Todhunter. 242. Extract the square root of 611524 ; also of 10246401 . 6 i 15 2 4 ( 7 82 49 1 0 2 4 6 4 0 i ( 3 ... square root of a decimal follows from the preceding rule . We must observe , however , that any decimal be squared ...
Side 132
... + 362 , which is three times ( a + b ) 2 , that is , three times the square of the part of the root already found . ( 3a + b ) b ) 3a2 + 3ab + b2 b2 3a2 + 6ab + 362 250. Example ; extract the cube root of 8x36cx5 + 132 EVOLUTION .
... + 362 , which is three times ( a + b ) 2 , that is , three times the square of the part of the root already found . ( 3a + b ) b ) 3a2 + 3ab + b2 b2 3a2 + 6ab + 362 250. Example ; extract the cube root of 8x36cx5 + 132 EVOLUTION .
Side 133
Isaac Todhunter. 250. Example ; extract the cube root of 8x36cx5 + 66c3x * - 63c3x3 + 33c⭑x2 - 9c3x + c® . - 6x - 3cx ... square of 2x in the second column ; that is , put 6x3 in the first column , and 12x1 in the second column . Divide ...
Isaac Todhunter. 250. Example ; extract the cube root of 8x36cx5 + 66c3x * - 63c3x3 + 33c⭑x2 - 9c3x + c® . - 6x - 3cx ... square of 2x in the second column ; that is , put 6x3 in the first column , and 12x1 in the second column . Divide ...
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7th term a+b+c arithmetic mean arithmetical ax² Binomial Theorem black balls chance cloth coefficient common contains continued fraction convergent Crown 8vo denote digits divided divisible divisor equal event example expansion Extract the square factors Fcap Find the number Geometrical Progression greater than unity Hence least common multiple less than unity letters logarithm miles multiply negative quantity number of combinations number of terms obtain occur P₁ positive integers positive quantity preceding article prime number probability problem quadratic equation quadratic surd quotient radix ratio recurring decimal remainder result scale shew shillings Similarly solution square number square root subtraction suppose supposition surd things taken trial unknown quantities white balls whole number
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