## An Elementary Investigation of the Theory of Numbers,: With Its Application to the Indeterminate and Diophantine Analysis, the Analytical and Geometrical Division of the Circle, and Several Other Curious Algebraical and Arithmetical Problems |

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An Elementary Investigation of the Theory of Numbers: With Its Application ... Peter Barlow No preview available - 2014 |

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4th power answer the required arithmetical progression arithmetical series ascertain coefficients common difference common divisor common measure complete quotient consequently contained continued fraction converging fractions cube numbers deduced demonstrated denominator digits Diophantus divided equa equal evident example expression find the values fore foregoing proposition form 8n formula tē four squares given number gives imaginary roots impossible form indeterminate equation infinite number integer number latter least number less modulus multiplication necessarily number of solutions number of terms numbers in arithmetical numbers prime obtain odd number periods possibility or impossibility prime number primitive root PROP proposed equation Q. E. D. Cor quadratic equation quantities radix rational readily represent required conditions Required the value resolved Scholium senary square numbers substituting suppose theorem tion transformed unity whence