## 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 a. e. d. Cor 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 denary denominator digits Diophantus divided equa equal equation be possible evident example expression find the values fore foregoing proposition form 8n formula four squares given number gives hence imaginary roots impossible form indeterminate equation infinite number integer number latter least number modulus multiplication 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 quadratic equation quantities radix rational readily represent required conditions Required the value resolved Scholium square numbers substituting suppose theorem tion transformed unity values of x whence