A Short History of Greek MathematicsUniversity Press, 1884 - 323 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 82.
Σελίδα xiii
... problems 99 100 101 102 104 Theodorus of Cyrene and Hippocrates of Chios Quadrature of lunes by Hippocrates Duplication ... problem , etc. Archytas ' 99 99 Leodamas , Theaetetus , Neocleides , Leon 107 108 109 110 111 112 Eudoxus 113 114 ...
... problems 99 100 101 102 104 Theodorus of Cyrene and Hippocrates of Chios Quadrature of lunes by Hippocrates Duplication ... problem , etc. Archytas ' 99 99 Leodamas , Theaetetus , Neocleides , Leon 107 108 109 110 111 112 Eudoxus 113 114 ...
Σελίδα 4
... problems of philology , is to get at the point of view of the primitive language - maker and to see from what sources he was likely to get his numerals . And this can only be done by a careful examination of the habits and languages of ...
... problems of philology , is to get at the point of view of the primitive language - maker and to see from what sources he was likely to get his numerals . And this can only be done by a careful examination of the habits and languages of ...
Σελίδα 16
... problems in arithmetic and geometry ' . The latter will be treated on a later page . The book was written by one Ahmes , ( Aāhmesu moon - born ) , in the reign of Ra - ā - us ( Apepa or Apophis of the Hyksos XVIth or XVIIth dynasty ) ...
... problems in arithmetic and geometry ' . The latter will be treated on a later page . The book was written by one Ahmes , ( Aāhmesu moon - born ) , in the reign of Ra - ā - us ( Apepa or Apophis of the Hyksos XVIth or XVIIth dynasty ) ...
Σελίδα 18
... problem to increase 1 to 1 , the common denominator taken is evidently 45 , for the fractions are stated as 111 , 51 , 41 , 1 , 1. The sum of these is ( 231 1 1 ) ( ) . Add to this 45 and the sum From other Thus in is . Add and the ...
... problem to increase 1 to 1 , the common denominator taken is evidently 45 , for the fractions are stated as 111 , 51 , 41 , 1 , 1. The sum of these is ( 231 1 1 ) ( ) . Add to this 45 and the sum From other Thus in is . Add and the ...
Σελίδα 19
... problems and gives about twenty more examples of the same kind . Most of them are simple , but in at least three Cantor ... problem above quoted is as follows the difference is 5 : 23 , 171 , 12 , 63 , 1. Multiply by 13 : 381 , 29 , 20 ...
... problems and gives about twenty more examples of the same kind . Most of them are simple , but in at least three Cantor ... problem above quoted is as follows the difference is 5 : 23 , 171 , 12 , 63 , 1. Multiply by 13 : 381 , 29 , 20 ...
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.