A Short History of Greek MathematicsUniversity Press, 1884 - 323 σελίδες |
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Σελίδα 3
... original meanings of the numerals from any subsequent usage of them by transference . The propriety of each numeral to its signification must be explained a priori or not at all . And this , apart from any linguistic difficulties ...
... original meanings of the numerals from any subsequent usage of them by transference . The propriety of each numeral to its signification must be explained a priori or not at all . And this , apart from any linguistic difficulties ...
Σελίδα 10
... original names appear to have been pankan or kankan ( 5 ) , ksvaks or ksvaksva ( 6 ) , saptan ( 7 ) , aktan ( 8 ) , navan ( 9 ) and dakan or dvakan ( 10 ) . Some allusion to finger - counting may well underlie these words . Ever since A ...
... original names appear to have been pankan or kankan ( 5 ) , ksvaks or ksvaksva ( 6 ) , saptan ( 7 ) , aktan ( 8 ) , navan ( 9 ) and dakan or dvakan ( 10 ) . Some allusion to finger - counting may well underlie these words . Ever since A ...
Σελίδα 16
... original of about 3400 B.C. The latter was written in the reign of a king whose name is not legible in Ahmes ' papyrus , but who is supposed to have been Raenmat or Amenemhat III . The British Museum possesses also an older leather ...
... original of about 3400 B.C. The latter was written in the reign of a king whose name is not legible in Ahmes ' papyrus , but who is supposed to have been Raenmat or Amenemhat III . The British Museum possesses also an older leather ...
Σελίδα 17
... original denominator , should be as nearly as possible 2 ( e.g. 7 ) , and then adding the remainder . But this process is clearly not employed with most of the distributions ( e.g. is given as instead of etc. ) . This neglect of the ...
... original denominator , should be as nearly as possible 2 ( e.g. 7 ) , and then adding the remainder . But this process is clearly not employed with most of the distributions ( e.g. is given as instead of etc. ) . This neglect of the ...
Σελίδα 27
... original utility in the motley and ignorant crowds of the Eastern bazaars . 21. In reckoning with pebbles , no doubt at first each pebble represented one of the objects to be counted , the advan- tage of course being that space was ...
... original utility in the motley and ignorant crowds of the Eastern bazaars . 21. In reckoning with pebbles , no doubt at first each pebble represented one of the objects to be counted , the advan- tage of course being that space was ...
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.