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" Let a real number which can be obtained from the integers by a finite number of rational operations and extractions of square roots be called a quadratic number. A, B, C are any three points not in a straight line such that AC and BC are quadratic in... "
Monographs on Topics of Modern Mathematics, Relevant to the Elementary Field - Σελίδα 362
επεξεργασία από - 1911 - 416 σελίδες
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Nature, Τόμος 58

Sir Norman Lockyer - 1898 - 684 σελίδες
...by WM Strong. The space is thus defined : Let a real number which can be obtained from the integers by a finite number of rational operations and extractions of square roots be called a quadratic number. A, B, C are any three points not in a straight line. Such that AC and...

Monographs on Topics of Modern Mathematics, Relevant to the Elementary Field

Jacob William Albert Young - 1911 - 434 σελίδες
...constant. The theorem in sec. 8 is therefore equivalent to the following: The unique equation, irreducible in the domain D, which is satisfied by a function...extractions of square roots is of degree a power of 2. 11. From the last theorem and the criterion in sec. 2 we deduce the Fundamental theorem. A proposed...

Bulletin of the American Mathematical Society

American Mathematical Society - 1897 - 698 σελίδες
...space we shall adopt may be defined thus : Let a real number which can be obtained from the integers by a finite number of rational operations and extractions of square roots be called a quadratic number. A, B, C are any three points not in a straight line such that AC and...

Famous Problems of Geometry and how to Solve Them

Benjamin Bold - 1982 - 148 σελίδες
...F, is constructible, since a number in any one of these fields can be obtained from the unit element by a finite number of rational operations and extractions of square roots. 4. Conversely any constructible number can be found in one of the fields F0, F,, F2, . - -, FB, since...
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Bulletin of the American Mathematical Society

American Mathematical Society - 1898 - 712 σελίδες
...space we shall adopt may be defined thus : Let a real number which can be obtained from the integers by a finite number of rational operations and extractions of square roots be called a quadratic number. A, B, C are any three points not in a straight line such that AC and...

Nature, Τόμος 58

Sir Norman Lockyer - 1898 - 702 σελίδες
...by WM Strong. The space is thus defined : Let a real number which can be obtained from the integers by a finite number of rational operations and extractions of square roots be called a quadratic number. A, B, C are any three points not in a straight line. Such that AC and...




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