A Short History of Greek MathematicsUniversity Press, 1884 - 323 σελίδες |
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Αποτελέσματα 1 - 5 από τα 25.
Σελίδα 17
... multiplying a fraction by 3. " When you are asked what is off , multiply it by 2 and by 6 : that is of it : and similarly for every other fraction . " Here it is meant that the denominator must be multiplied by 2 and by 6 , and Ahmes ...
... multiplying a fraction by 3. " When you are asked what is off , multiply it by 2 and by 6 : that is of it : and similarly for every other fraction . " Here it is meant that the denominator must be multiplied by 2 and by 6 , and Ahmes ...
Σελίδα 18
... multiply a until he found a product which either was or was nearly b . the example , numbered by Eisenlohr ( 32 ) ... multiply directly with a high number but proceeds by many easy stages . In order to multiply by 13 , for instance , he ...
... multiply a until he found a product which either was or was nearly b . the example , numbered by Eisenlohr ( 32 ) ... multiply directly with a high number but proceeds by many easy stages . In order to multiply by 13 , for instance , he ...
Σελίδα 19
... Multiply by 13 : 381 , 29 , 20 , 103 , 13. ' The series first given amounts only to 60 , and each of its terms must be multiplied by 13 , in order to produce the requisite sum 100. The difference 51⁄2 must have been found from the ...
... Multiply by 13 : 381 , 29 , 20 , 103 , 13. ' The series first given amounts only to 60 , and each of its terms must be multiplied by 13 , in order to produce the requisite sum 100. The difference 51⁄2 must have been found from the ...
Σελίδα 26
... multiplying 150 by 10 , an operation which does not require the more elaborate finger - signs . Failing this passage , there is 1 Opera , Basileae , col . 171-173 . The material part is given by Roediger . The finger positions described ...
... multiplying 150 by 10 , an operation which does not require the more elaborate finger - signs . Failing this passage , there is 1 Opera , Basileae , col . 171-173 . The material part is given by Roediger . The finger positions described ...
Σελίδα 28
... multiply say 12 by 10 , make 120 dots on his slate and then count these . What he wanted was the name of the total and he did not always get this right . With primitive man , I imagine , the use of pebbles would not arise till numeral ...
... multiply say 12 by 10 , make 120 dots on his slate and then count these . What he wanted was the name of the total and he did not always get this right . With primitive man , I imagine , the use of pebbles would not arise till numeral ...
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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.