A Short History of Greek MathematicsUniversity Press, 1884 - 323 σελίδες |
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Αποτελέσματα 1 - 5 από τα 80.
Σελίδα xi
... calculations 18 14 15 , 16 Simple equations and series 18-20 Summary 20-21 PART II . GREEK ARITHMETIC 22--122 CHAPTER III . CALCULATION . LOGISTICA 22-65 17 Logistica opposed to Arithmetica 22-23 18 Numerical symbolism 24 · 19 , 20 ...
... calculations 18 14 15 , 16 Simple equations and series 18-20 Summary 20-21 PART II . GREEK ARITHMETIC 22--122 CHAPTER III . CALCULATION . LOGISTICA 22-65 17 Logistica opposed to Arithmetica 22-23 18 Numerical symbolism 24 · 19 , 20 ...
Σελίδα 2
... calculation . We may assume evolution and , by careful com- parison of the habits of the existing lower races , we may form ab extra a theoretical history of arithmetic among our fore- fathers ; but almost the whole ( so to say ) ...
... calculation . We may assume evolution and , by careful com- parison of the habits of the existing lower races , we may form ab extra a theoretical history of arithmetic among our fore- fathers ; but almost the whole ( so to say ) ...
Σελίδα 5
... calculation ? The answer seems to be , at least in part , as follows . A savage knows large and familiar things by special distinguishing marks and these special peculiarities prevent him from forming , in the case of such things , the ...
... calculation ? The answer seems to be , at least in part , as follows . A savage knows large and familiar things by special distinguishing marks and these special peculiarities prevent him from forming , in the case of such things , the ...
Σελίδα 6
... calculation without them . That this is the true history of the art of counting is evident if we consider the following facts in order . First , there is hardly any language in the world in which the first three or four numerals bear ...
... calculation without them . That this is the true history of the art of counting is evident if we consider the following facts in order . First , there is hardly any language in the world in which the first three or four numerals bear ...
Σελίδα 8
... calculation slowly and by precisely the same modes as we see in practice among modern savages . There is no word for ' counting ' common to all the Aryan tongues , but the special words generally mean ' to arrange ' or ' to group ...
... calculation slowly and by precisely the same modes as we see in practice among modern savages . There is no word for ' counting ' common to all the Aryan tongues , but the special words generally mean ' to arrange ' or ' to group ...
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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.