A Short History of ScienceMacmillan, 1917 - 474 sider |
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Side 11
... continued to be dependent upon the belief in demons as the source of physical ills , and astronomy remained in the service of astrology and lastly in a certain attitude towards life which it is difficult to define in words , but of ...
... continued to be dependent upon the belief in demons as the source of physical ills , and astronomy remained in the service of astrology and lastly in a certain attitude towards life which it is difficult to define in words , but of ...
Side 32
... continued in use by surveyors for many centuries , even after Euclid had given geo- metrical science its modern form . Another problem amounts to finding two squares having a given total area and their sides in a given ratio , being ...
... continued in use by surveyors for many centuries , even after Euclid had given geo- metrical science its modern form . Another problem amounts to finding two squares having a given total area and their sides in a given ratio , being ...
Side 56
... continued to be im- portant until about 400 B.C. , that is , until the rise of the Athenian school under Plato and his successors . It had not only created the science of mathematics ; it had developed , however vaguely and imperfectly ...
... continued to be im- portant until about 400 B.C. , that is , until the rise of the Athenian school under Plato and his successors . It had not only created the science of mathematics ; it had developed , however vaguely and imperfectly ...
Side 67
... continued , Are not the statements as to the noise the same in regard to each ? For as are the things that make a noise , so are the noises . Since this is the case , if the measure of millet makes a noise , the one grain and the ten ...
... continued , Are not the statements as to the noise the same in regard to each ? For as are the things that make a noise , so are the noises . Since this is the case , if the measure of millet makes a noise , the one grain and the ten ...
Side 68
... continued proportion x : y = y : z = z : a leads to the equations y2 = xz , z2 = ya , whence , eliminating z , y3 = ax2 , y = a3x3 ; y and z are the desired means between x and a , and by putting a = 2x the problem is solved . No such ...
... continued proportion x : y = y : z = z : a leads to the equations y2 = xz , z2 = ya , whence , eliminating z , y3 = ax2 , y = a3x3 ; y and z are the desired means between x and a , and by putting a = 2x the problem is solved . No such ...
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Almindelige termer og sætninger
Alexandria algebra analytic geometry ancient angle animals antiquity Apollonius appears Arabic Archimedes Aristarchus Aristotle arithmetic astronomy Babylonia centre CHAPTER chemistry circle computation conic sections Copernicus cubic equation curve Descartes determined Diophantus discovered discovery distance earth Egyptian eighteenth century elements engineer equal equations Euclid Euclid's Elements Europe evolution experiment famous Galileo genius geometry Greek Greek mathematics heavenly bodies heavens Hipparchus Hippocrates history of science ideas important invention Jupiter Kepler knowledge known later laws learning light mathematical science mathematicians matical measure mechanics method Miletus modern moon motion natural Newton nineteenth century notation observed orbits origin phenomena philosophy Phoenicians physical planets Plato principle problem progress Ptolemy Pythagoras Pythagorean regarded Roman says schools scientific solution sphere spherical square stars straight line telescope Thales theorems theory things tion to-day treatise triangle Tycho Tycho Brahe universe
Populære passager
Side 259 - I often say that when you can measure what you are speaking about and express it in numbers you know something about it; but when you cannot measure it, when you cannot express it in numbers, your knowledge is of a meagre and unsatisfactory kind...
Side 261 - It is hardly necessary to add that anything which any insulated body or system of bodies can continue to furnish without limitation cannot possibly be a material substance; and it appears to me to be extremely difficult, if not quite impossible, to form any distinct idea of anything capable of being excited and communicated in the manner in which heat was excited and communicated in these experiments except it be motion.
Side 149 - Rather admire; or if they list to try Conjecture, he his fabric of the Heavens Hath left to their disputes, perhaps to move His laughter at their quaint opinions wide Hereafter, when they come to model Heaven And calculate the stars, how they will wield The mighty frame; how build, unbuild, contrive To save appearances; how gird the sphere With centric and eccentric scribbled o'er, Cycle and epicycle, orb in orb...
Side 311 - I will keep this oath and this stipulation— to reckon him who taught me this art equally dear to me as my parents, to share my substance with him and relieve his necessities if required, to look upon his offspring in the same footing as my own brothers and to teach them this art if they shall wish to learn it without fee or stipulation...
Side 250 - 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.
Side 259 - Given for one instant an intelligence which could comprehend all the forces by which nature is animated and the respective situation of the beings who compose it an intelligence sufficiently vast to submit these data to analysis it would embrace in the same formula the movements of the greatest bodies of the universe and those of the lightest atom...
Side 216 - Our business was (precluding matters of Theology and state affairs) to discourse and consider of Philosophical Enquiries, and such as related thereunto : as physick, anatomy, geometry, astronomy, navigation, staticks, magneticks, chymicks, mechanicks, and natural experiments ; with the state of these studies, as then cultivated at home and abroad.
Side 281 - I swear by Apollo the physician and Aesculapius and health and all-heal and all the gods and goddesses that according to my ability and judgment I will keep this oath and this stipulation— to reckon him who taught me this art equally dear to me as my parents...
Side 17 - Go, and say to Hezekiah, Thus saith the Lord, the God of David thy father : I have heard thy prayer, I have seen thy tears ; behold, I will add unto thy days fifteen years.
Side 319 - I offer this work as the mathematical principles of philosophy, for the whole burden of philosophy seems to consist in this — from the phenomena of motions to investigate the forces of nature, and then from these forces to demonstrate the other phenomena; and to this end the general propositions in the first and second Books are directed.