A Short Account of the History of Mathematics

Εξώφυλλο
Macmillan and Company, limited, 1908 - 522 σελίδες

Αναζήτηση στο βιβλίο

Περιεχόμενα

I
1
II
11
III
13
IV
33
V
50
VI
93
VII
116
VIII
121
XII
164
XIII
182
XIV
199
XV
244
XVI
261
XVII
263
XVIII
268
XIX
319

IX
129
X
131
XI
144
XX
353
XXI
391
XXII
444

Άλλες εκδόσεις - Προβολή όλων

Συχνά εμφανιζόμενοι όροι και φράσεις

Δημοφιλή αποσπάσματα

Σελίδα 323 - Newton generalized the law of attraction into a statement that every particle of matter in the universe attracts every other particle with a force which varies directly as the product of their masses and inversely as the square of the distance between them; and he thence deduced the law of attraction for spherical shells of constant density.
Σελίδα 349 - I do not know what I may appear to the world, but to myself I seem to have been only like a boy playing on the sea-shore, and diverting myself in now and then finding a smoother pebble or a prettier shell than ordinary, whilst the great ocean of truth lay all undiscovered before me.
Σελίδα 256 - The squares of the periodic times of the planets are proportional to the cubes of their mean distances from the Sun.
Σελίδα 335 - that every particle of matter in the universe attracts every other particle, with a force whose direction is that of the line joining the two, and whose magnitude is directly as the product of their masses, and inversely as the square of their distances from each other.
Σελίδα 10 - Pythagoras' theorem states that the square of the length of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the lengths of the other two sides.
Σελίδα 334 - had Newton proved this superb theorem — and we know from his own words that he had no expectation of so beautiful a result till it emerged from his mathematical investigation — than all the mechanism of the universe at once lay spread before him.
Σελίδα 326 - I was so persecuted with discussions arising out of my theory of light, that I blamed my own imprudence for parting with so substantial a blessing as my quiet, to run after a shadow.
Σελίδα 45 - If from AB there be taken more than its half, and from the remainder more than its half, and so on ; there shall at length remain a magnitude less than C. For C may be multiplied, so as at length to become greater than AB.
Σελίδα 486 - If a straight line meets 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 41 - Philoponus,t it is asserted that the Athenians in 430 BC when suffering from the plague of eruptive typhoid fever, consulted the oracle at Delos as to how they could stop it. Apollo replied that they must double the size of his altar, which was in the form of a cube. To the unlearned suppliants nothing seemed more easy, and a new altar was constructed...

Πληροφορίες βιβλιογραφίας