A Short History of Greek MathematicsUniversity Press, 1884 - 323 σελίδες |
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Σελίδα vii
... Aristotle and Archimedes , while I have omitted any summary of Ptolemy's astronomical theories . The former are books which are little known , which are short , which came in my way and which are almost purely deductive . A com- plete ...
... Aristotle and Archimedes , while I have omitted any summary of Ptolemy's astronomical theories . The former are books which are little known , which are short , which came in my way and which are almost purely deductive . A com- plete ...
Σελίδα x
... Aristotle was struck out of p . 189 as incorrect , but by accident , no substitute was inserted . The omission is rectified on p . 238 . P. 204. There is a very remarkable article by Dr Klamroth " über den Arabischen Euclid " in ...
... Aristotle was struck out of p . 189 as incorrect , but by accident , no substitute was inserted . The omission is rectified on p . 238 . P. 204. There is a very remarkable article by Dr Klamroth " über den Arabischen Euclid " in ...
Σελίδα xiii
... Aristotle • 115 Autolycus of Pitane • 116 Summary of the pre - Euclidean geometry . Menaechmus and the later Academics 160-161 • 161-162 162-164 164-165 165-169 169 169-173 · 170-171 173-177 • 177-180 180-181 · 181-183 183 183-185 185 ...
... Aristotle • 115 Autolycus of Pitane • 116 Summary of the pre - Euclidean geometry . Menaechmus and the later Academics 160-161 • 161-162 162-164 164-165 165-169 169 169-173 · 170-171 173-177 • 177-180 180-181 · 181-183 183 183-185 185 ...
Σελίδα xv
... Aristotle , 340 Pappus , A. D. 300 Asclepius Trall . , A. D. 600 Perseus , 150 Autolycus , 340 Philippus , 320 Bryson , 430 Philolaus , 430 Conon , 250 Philon Byz . , 150 Democritus , 410 Plato , 380 Dinostratus , 320 Proclus , A.D. 450 ...
... Aristotle , 340 Pappus , A. D. 300 Asclepius Trall . , A. D. 600 Perseus , 150 Autolycus , 340 Philippus , 320 Bryson , 430 Philolaus , 430 Conon , 250 Philon Byz . , 150 Democritus , 410 Plato , 380 Dinostratus , 320 Proclus , A.D. 450 ...
Σελίδα 1
... Aristotle , the following question is asked ( XV . 3 ) : " Why do all men , both barbarians and Hellenes , count up to 10 and not to some other number ? " It is suggested , among several answers of great absurdity , that the true reason ...
... Aristotle , the following question is asked ( XV . 3 ) : " Why do all men , both barbarians and Hellenes , count up to 10 and not to some other number ? " It is suggested , among several answers of great absurdity , that the true reason ...
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.