And if, from the point on the pavement indicated by this hanging string (taking the pavement to be level and not inclined), you should produce two other straight lines, one for the length and the other for the breadth of the surface of the pavement, what angles would they make with the thread? What shall I say of so many and such diverse instruments? holding the Based on the special commission's report, the Pope . Pius VII Pope and taken in SIMP. and formally heretical. And what shall we say of the senses, of spiritual power, and finally of the understanding? I often talked with these two of such matters in the presence of a certain Peripatetic philosopher whose greatest obstacle in apprehending the truth seemed to be the reputation he had acquired by his interpretations of Aristotle. Is it not accepted by all philosophers that very few stars in the heavens are smaller than the earth, while a great many are much bigger? SALV. Looking at what men have found out about arranging the musical intervals and forming precepts and rules in order to control them for the wonderful delight of the ear, when shall T be able to cease my amazement? are not absolute but relative; the same thing in comparison with various others may be called at … Therefore leaving the general contemplation of the whole, let us get to the consideration of the pans. Galilei, Galileo - Dialogue Concerning the two Chief World Systems (EN, 155 p.) Pope and Well, so much the less could they be seen in the moon, which is many hundreds of times more distant. I warn you, Sagredo, that this will be the third time we have thus strayed imperceptibly, step by step, from our principal topic, and we shall get to the point of our argument but slowly if we make digressions. SAGR.
SALV. Galileo's Dialogue Concerning the Two Chief World Systems is taken off the Vatican's list of banned books. And as to the calculation of parallaxes, in the first place I doubt whether comets are subject to parallax; besides, the inconstancy of the observations upon which they have been computed renders me equally suspicious of both his opinions and his adversary's -- the more so because it seems to me that the Anti-Tycho sometimes trims to its author's taste those observations which do not suit his purposes, or else declares them to be erroneous. From the oldest records we have it that formerly, at the Straits of Gibraltar, Abila and Calpe were joined together with some lesser mountains which held the ocean in check; but these mountains being separated by some cause, the opening admitted the sea, which flooded in so as to form the Mediterranean. In that way there might also be drawn two others; but they would be the same as the first three, differing only in that whereas now they merely touch, they would then intersect. ratifies the Cardinals' decree. astronomical discoveries. And is this not confirmed by the doctrine and authority of the Pythagoreans, who say that all things are determined by three -- beginning, middle, and end -- which is the number of the Whole?
the first attack from the clergy on the Copernican theory. Then of the two propositions, both of them Aristotelian doctrines, the second -- which says it is necessary to prefer the senses over arguments -- is a more solid and definite doctrine than the other, which holds the heavens to be inalterable. It seems that you ridicule these reasons, and yet all of them are doctrines to the Pythagoreans, who attribute so much to numbers. Such a mixture of shadows is so effective that in sculptured velvet the color of the cut silk looks much darker than that of the uncut, because of shadows cast between one thread and another; and plain velvet is likewise much darker than taffeta made of the same silk.
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