A Short History of Greek MathematicsUniversity Press, 1884 - 323 σελίδες |
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Σελίδα vi
... whole field of Greek mathematics . this way , the materials for an account of the Alexandrian Mathematical School grew to exceed the reasonable limits of a chapter , and I have thought it desirable to publish them as a separate essay ...
... whole field of Greek mathematics . this way , the materials for an account of the Alexandrian Mathematical School grew to exceed the reasonable limits of a chapter , and I have thought it desirable to publish them as a separate essay ...
Σελίδα vii
... whole book is an endeavour to compromise between conflicting claims , I have allowed myself , with the same intent , some inconsistency in two details . In the first place , I have not drawn a strict line between pure and mixed ...
... whole book is an endeavour to compromise between conflicting claims , I have allowed myself , with the same intent , some inconsistency in two details . In the first place , I have not drawn a strict line between pure and mixed ...
Σελίδα viii
... whole book from page 66 , has made a hundred valuable suggestions and has saved me a hundred times from myself . The other is Mr Joseph Jacobs , late scholar of St John's College , Cambridge , whose wide intellectual interests and ...
... whole book from page 66 , has made a hundred valuable suggestions and has saved me a hundred times from myself . The other is Mr Joseph Jacobs , late scholar of St John's College , Cambridge , whose wide intellectual interests and ...
Σελίδα 2
... whole ( so to say ) internal evidence is concealed in a few numeral words . To the etymology of these a few pages may here be fitly devoted , not only because it is habitual with our generation to commence every inquiry from the ...
... whole ( so to say ) internal evidence is concealed in a few numeral words . To the etymology of these a few pages may here be fitly devoted , not only because it is habitual with our generation to commence every inquiry from the ...
Σελίδα 13
... whole factor of the dividend and there was then a remainder . What was to be done with this ? The question , no doubt , first arose with concrete units , in a case , for instance , where 23 apples were left to be divided among 24 men ...
... whole factor of the dividend and there was then a remainder . What was to be done with this ? The question , no doubt , first arose with concrete units , in a case , for instance , where 23 apples were left to be divided among 24 men ...
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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.