Elements of the History of Philosophy and Science: From the Earliest Authentic Records to the Commencement of the Eighteenth CenturyB.J. Holdsworth, 1827 - 560 pages |
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Page 93
... demonstrations and inductive rea- sonings . Diogenes Laertius informs us , that it was he " who first abstracted geometry from matter , and elevated it from a scheme of mensuration to a truly philosophical science . " 71. Next to the ...
... demonstrations and inductive rea- sonings . Diogenes Laertius informs us , that it was he " who first abstracted geometry from matter , and elevated it from a scheme of mensuration to a truly philosophical science . " 71. Next to the ...
Page 100
... demonstration , by which a great variety of difficult questions were solved relative to the limitation of figures in ... demonstrations were obtained , and its indirect form giving no insight into the principle on which the investigation ...
... demonstration , by which a great variety of difficult questions were solved relative to the limitation of figures in ... demonstrations were obtained , and its indirect form giving no insight into the principle on which the investigation ...
Page 103
... Demonstrations of Theodosius are said to have been expressed with the utmost accuracy and elegance . Menelaus , who flourished about A. D. 55 , pursued the same track , and , following up the prin- ciples of his predecessor , made ...
... Demonstrations of Theodosius are said to have been expressed with the utmost accuracy and elegance . Menelaus , who flourished about A. D. 55 , pursued the same track , and , following up the prin- ciples of his predecessor , made ...
Page 125
... demonstration only . " --- Plut . in Vit . Marcell . 93. The researches and discoveries of the philo- sopher of Syracuse were almost exclusively directed to that branch of mechanics to which the name of Statics has been given in modern ...
... demonstration only . " --- Plut . in Vit . Marcell . 93. The researches and discoveries of the philo- sopher of Syracuse were almost exclusively directed to that branch of mechanics to which the name of Statics has been given in modern ...
Page 129
... demonstration of this law rests on a principle which he lays down as a postulatum ; viz . that in water , the parts which are less pressed are always ready to yield in any direc- tion to those that are more pressed ; and from this , by ...
... demonstration of this law rests on a principle which he lays down as a postulatum ; viz . that in water , the parts which are less pressed are always ready to yield in any direc- tion to those that are more pressed ; and from this , by ...
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abstract æra ages Alexandria Almagest ancient antiquity Arabian Archimedes Aristotle astronomical attainments attributed bodies celebrated century Chaldæan chiefly Christian comprehended connexion Ctesibius dæmons degree Deity derived dialectic Diodorus Siculus Diogenes Laertius disciples discovered discoveries distinct distinguished divine doctrine Eclectic Egyptians enumerated Epicurus ethical existence flourished fluid former genius geometricians geometry Grecian Greece Greek Hipparchus honour ibid illustrious important intellectual intelligent invention investigation knowledge known labours Lanfranc laws learned literary literature logic mathematical mathematicians matter mechanical ment metaphysical mind modern moral motion nature Newton objects observations opinions optical origin period Peripatetic Persian phænomena philosophers physical science Plato Playfair Plutarch practical preceding principles Proclus Ptolemy Ptolemy Philadelphus Pythagoras reason relates rendered respecting Roger Bacon Roman scholastic scientific sect SECTION Sophisms speculations stars Stoics substances supposed taught tenets Thales theory things tion treatises truth universe virtue writings Zeno Zoroaster
Popular passages
Page 518 - Were it fit to trouble thee with the history of this Essay, I should tell thee, that five or six friends meeting at my chamber, and' discoursing on a subject very remote from this, found themselves quickly at a stand, by the difficulties that rose on every side.
Page 19 - And he spake three thousand proverbs: and his songs were a thousand and five. And he spake of trees, from the cedar tree that is in Lebanon even unto the hyssop that springeth out of the wall: he spake also of beasts, and of fowl, and of creeping things, and of fishes.
Page 443 - ... he who ruleth his own spirit is greater than he who taketh a city...
Page 518 - I should tell thee, that five or six friends meeting at my chamber, and discoursing on a subject very remote from this, found themselves quickly at a stand, by the difficulties that rose on every side. After we had awhile puzzled ourselves, without coming any nearer a resolution of those doubts which perplexed us, it came into my thoughts that we took a wrong course; and that before we set ourselves upon inquiries of that nature, it was necessary to examine our own abilities, and see what objects...
Page 519 - Some hasty and undigested thoughts, on a subject I had never before considered, which I set down against our next meeting, gave the first entrance into this discourse, which, having been thus begun by chance, was continued by entreaty ; written by incoherent parcels ; and, after long intervals of neglect, resumed again, as my humour or occasions permitted ; and at last, in a retirement, where an attendance on my health gave me leisure, it was brought into that order thou now seest it.
Page 56 - But if courtesy and urbanity ^ a love of poetry and eloquence, and the practice of exalted virtues, be a juster measure of perfect society, we.
Page 39 - The fundamental tenet of the Vedanta school consisted not in denying the existence of matter, that is, of solidity, impenetrability and extended figure (to deny which would be lunacy), but in correcting the popular notion of it, and in contending that it has no essence independent of mental perception, that existence and perceptibility are convertible terms, that external appearances and sensations are illusory, and would vanish into nothing, if the divine energy, which alone sustains them, were...
Page 184 - In some new figure, and a varied vest ; Thus all things are but altered, nothing dies, And here and there the unbodied spirit flies, By time, or force, or sickness dispossest, And lodges, where it lights, in man or beast...
Page 46 - A firm belief that One Supreme God made the world by his power, and continually governed it by his providence; a pious fear, love, and adoration of him; a due reverence for parents and aged persons ; a fraternal affection for the whole human species, and a compassionate tenderness even for the brute creation.
Page 47 - Persia : their fundamental tenets are, that nothing exists absolutely but God ; that the human soul is an emanation fi-om his essence, and though divided for a time from its heavenly source, will be finally reunited with it ; that the highest possible happiness...