A Short History of Greek MathematicsUniversity Press, 1884 - 323 σελίδες |
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Σελίδα v
... Greek mathematics is , for the most part , only the history of such mathematics as are learnt daily in all our public schools . And very singular it is that , though England is the only European country which still retains Euclid as its ...
... Greek mathematics is , for the most part , only the history of such mathematics as are learnt daily in all our public schools . And very singular it is that , though England is the only European country which still retains Euclid as its ...
Σελίδα vi
... Greek mathe- matical book and a great number of pretty proofs translated from the ipsissima verba of the ancients . Greek scholars will find nomenclature and all manner of arithmetical symbols more fully treated than in any other work ...
... Greek mathe- matical book and a great number of pretty proofs translated from the ipsissima verba of the ancients . Greek scholars will find nomenclature and all manner of arithmetical symbols more fully treated than in any other work ...
Σελίδα vii
... Greek and Roman Biography ) in a way which should generally indicate the Greek form and pronunciation without offending the ordinary eye . I have always written c for and final -us for -os . I have generally not Latinized names ending ...
... Greek and Roman Biography ) in a way which should generally indicate the Greek form and pronunciation without offending the ordinary eye . I have always written c for and final -us for -os . I have generally not Latinized names ending ...
Σελίδα xi
... GREEK ARITHMETIC 22--122 CHAPTER III . CALCULATION . LOGISTICA 22-65 17 Logistica opposed to Arithmetica 22-23 18 Numerical symbolism 24 · 19 , 20 Greek and Roman finger - symbols 24-27 21 Pebble - symbolism 27-29 22 Origin of the ...
... GREEK ARITHMETIC 22--122 CHAPTER III . CALCULATION . LOGISTICA 22-65 17 Logistica opposed to Arithmetica 22-23 18 Numerical symbolism 24 · 19 , 20 Greek and Roman finger - symbols 24-27 21 Pebble - symbolism 27-29 22 Origin of the ...
Σελίδα xii
... Greek arithmetical education 64-65 CHAPTER IV . 44 GREEK THEORY OF NUMBERS ( ARITHMETICA ) 66-122 Pythagoras • 45-46 Pythagorean and Platonic Arithmetica 47 Euclid's Arithmetica , Book II . of the Elements 48-50 Books VII.-IX ...
... Greek arithmetical education 64-65 CHAPTER IV . 44 GREEK THEORY OF NUMBERS ( ARITHMETICA ) 66-122 Pythagoras • 45-46 Pythagorean and Platonic Arithmetica 47 Euclid's Arithmetica , Book II . of the Elements 48-50 Books VII.-IX ...
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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.