Episodes from the Early History of MathematicsMathematical Association of America, 1964 - 133 σελίδες |
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Σελίδα 48
... means that everything that will be used in the theory is fairly set down in the axioms so that there are no tacit assumptions . 2. Consistency — this means that it is impossible to derive two con- tradictory theorems from the axioms . 3 ...
... means that everything that will be used in the theory is fairly set down in the axioms so that there are no tacit assumptions . 2. Consistency — this means that it is impossible to derive two con- tradictory theorems from the axioms . 3 ...
Σελίδα 79
... means . [ Rectifying a curve ( in this case a circle ) means to determine a straight line segment of the same length as the curve ; squaring a figure means determining a square of area equal to that of the figure . ] † The position of a ...
... means . [ Rectifying a curve ( in this case a circle ) means to determine a straight line segment of the same length as the curve ; squaring a figure means determining a square of area equal to that of the figure . ] † The position of a ...
Σελίδα 121
... means , as we saw in the chapter on Archimedes . The assertion that the problem cannot be solved " by means of lines " , may also be interpreted to mean that it is not " plane " , which in this connection would mean that it leads to an ...
... means , as we saw in the chapter on Archimedes . The assertion that the problem cannot be solved " by means of lines " , may also be interpreted to mean that it is not " plane " , which in this connection would mean that it leads to an ...
Άλλες εκδόσεις - Προβολή όλων
Episodes from the Early History of Mathematics, Τόμος 13 Asger Aaboe Περιορισμένη προεπισκόπηση - 1963 |
Συχνά εμφανιζόμενοι όροι και φράσεις
a-rá algebra Almagest angle Arabic Archimedes astronomical Babylonian mathematics Babylonian number system base called centre Chapter circle of radius circumference compasses and straightedge computations cone construction cylinder decagon decimal diagonal diameter digits divide equal Euclid Euclid's Elements Eudoxos example Fermat primes Figure find crd finite sexagesimal fractions geometrical given Greek mathematics Heiberg hence history of mathematics hypotenuse integers intersecting isosceles line segment mathe mathematicians matics means method modern multiplication table neusis construction notation parallel postulate parallelogram plane polygon power of 60 prime factor problem proof proved Ptolemy Ptolemy's Ptolemy's theorem Pythagorean theorem quadratic equation ratio reader reciprocal table rectangle regular pentagon right triangle sexagesimal side solution solve sphere squarable square straight line subtending subtract table of chords tablet theory tion transcribed translation trisection vertical wedge whole numbers write