A Short History of Greek MathematicsUniversity Press, 1884 - 323 σελίδες |
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Σελίδα 9
... remains , whether any connexion can be traced , in the Aryan languages , as there certainly can in most savage tongues , between the first ten numeral words and the gestures used in counting with the fingers . It has been already ...
... remains , whether any connexion can be traced , in the Aryan languages , as there certainly can in most savage tongues , between the first ten numeral words and the gestures used in counting with the fingers . It has been already ...
Σελίδα 30
... remains practically as wide as before . Lastly , the tradition which connects the aßag with Pythagoras as well as that which connects him with a Semitic people , is so late and belongs to so imaginative authors that no reliance can be ...
... remains practically as wide as before . Lastly , the tradition which connects the aßag with Pythagoras as well as that which connects him with a Semitic people , is so late and belongs to so imaginative authors that no reliance can be ...
Σελίδα 39
... remains to consider , in this place , what characters were used in such documents . 28. It has been suggested above that probably , when the use of the fingers in counting was first discovered , it required , as in S. Africa at the ...
... remains to consider , in this place , what characters were used in such documents . 28. It has been suggested above that probably , when the use of the fingers in counting was first discovered , it required , as in S. Africa at the ...
Σελίδα 48
... remains to be added that two of the foremost Greek mathematicians were during this century very much interested in the further abbreviation of Greek numerals . Archimedes ( B. C. 287-212 ) and Apollonius of Perga ( flor . temp . Ptol ...
... remains to be added that two of the foremost Greek mathematicians were during this century very much interested in the further abbreviation of Greek numerals . Archimedes ( B. C. 287-212 ) and Apollonius of Perga ( flor . temp . Ptol ...
Σελίδα 49
James Gow. It remains to be mentioned only that the Greeks had no cipher . The ō which Delambre found in the Almagest is a contraction of ovdév , and occurs only in the measurements of angles , which happen to contain no degrees or no ...
James Gow. It remains to be mentioned only that the Greeks had no cipher . The ō which Delambre found in the Almagest is a contraction of ovdév , and occurs only in the measurements of angles , which happen to contain no degrees or no ...
Άλλες εκδόσεις - Προβολή όλων
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.