A Short History of Greek MathematicsUniversity Press, 1884 - 323 σελίδες |
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Αποτελέσματα 1 - 5 από τα 49.
Σελίδα 9
... kind between the first three or four numerals and the last seven or six . The former are adjectives and are so inflected : the latter are nouns neuter in form and uninflected2 ; inter- jections , as it were , thrust into the sentence in ...
... kind between the first three or four numerals and the last seven or six . The former are adjectives and are so inflected : the latter are nouns neuter in form and uninflected2 ; inter- jections , as it were , thrust into the sentence in ...
Σελίδα 13
... kind would attend the practice of dividing the unit always into the same fractions ( say 12ths or 10ths ) and expressing every other fraction , as nearly as 1 It should be mentioned here , also , that fractions with low denominators ...
... kind would attend the practice of dividing the unit always into the same fractions ( say 12ths or 10ths ) and expressing every other fraction , as nearly as 1 It should be mentioned here , also , that fractions with low denominators ...
Σελίδα 14
... kind was still so difficult to them that they preferred to get rid of numerators and to reduce denominators to a series of numbers , some of which were so low that they could be handled mechanically and the rest so high that they could ...
... kind was still so difficult to them that they preferred to get rid of numerators and to reduce denominators to a series of numbers , some of which were so low that they could be handled mechanically and the rest so high that they could ...
Σελίδα 19
... kind . Most of them are simple , but in at least three Cantor sees evidence that Ahmes was acquainted with the theory of arithmetical and geometrical series . The solution which he gives of the second problem above quoted is as follows ...
... kind . Most of them are simple , but in at least three Cantor sees evidence that Ahmes was acquainted with the theory of arithmetical and geometrical series . The solution which he gives of the second problem above quoted is as follows ...
Σελίδα 34
... kind as those on the Salaminian table and it is held by the reckoner so that the columns are perpendicular to his body . But it is too small and roughly drawn to furnish important information . 1 τεταρτημορίον is Böckh's expla nation ...
... kind as those on the Salaminian table and it is held by the reckoner so that the columns are perpendicular to his body . But it is too small and roughly drawn to furnish important information . 1 τεταρτημορίον is Böckh's expla nation ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
Ahmes Alexandria algebraical Almagest alphabet Apollonius Arabic Archimedes Archytas Aristotle arithmetical astronomical Athens attributed Bisect Bretschneider called Cantor centre century Chasles chord circle circumference cited commentary cone conic conic sections contains cube curve cylinder Delambre described diameter Diophantus Egyptian ellipse equal equations Eratosthenes Eucl Euclid Eudemian summary Eudemus Eudoxus Eutocius extant figure follows fractions Friedlein Geminus given Greek geometry Hankel Heiberg Heron Hipparchus Hippocrates history of geometry Hultsch Iamblichus inscribed invented isosceles later lemmas magnitudes Math mathematicians mathematics means Menaechmus mentioned method method of exhaustion Nesselmann Nicomachus numbers Pappus parabola perpendicular plane Plato Plutarch polygonal numbers porism problem Proclus proof Prop proportion propositions Ptolemy Pythagoras Pythagorean quadrature quoted ratio rectangle rectilineal right angles says segment semicircle shews side similar solution sphere square number straight line symbolism Thales Theon theorem Torelli translation treatise triangle vertex Vorles writers καὶ περὶ
Δημοφιλή αποσπάσματα
Σελίδα 199 - If a straight line meet two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles...
Σελίδα 292 - THE rectangle contained by the diagonals of a quadrilateral inscribed in a circle, is equal to both the rectangles contained by its opposite sides.* Let ABCD be any quadrilateral inscribed in a circle, and join AC, BD ; the.
Σελίδα 292 - The rectangle contained by the diagonals of a quadrilateral inscribed in a circle is equal to the sum of the two rectangles contained by its opposite sides.
Σελίδα 298 - He finds as a general law that a ray, passing from a rarer to a denser medium, is refracted towards the perpendicular : if...
Σελίδα 194 - Give him threepence, since he must make gain out of what he learns.
Σελίδα 56 - IJandnotwith any special problem. course, that most astronomers mean by 'the universe' the sphere of which the centre is the centre of the earth and the radius is a line drawn from the centre of the earth to the centre of the sun.
Σελίδα 145 - At a given point in a given straight line, to make a rectilineal angle equal to a given rectilineal angle. Let AB be the given straight line, and A the given point in, it, and DCE the given rectilineal angle ; it is required to make...
Σελίδα 53 - If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts.
Σελίδα 176 - To describe an isosceles triangle, having each of the angles at the base double of the third angle.
Σελίδα 133 - Pythagoras changed the study of geometry into the form of a liberal education, for he examined its principles to the bottom and investigated its theorems in an immaterial and intellectual manner.