By Galileo Galilei
As relaxing because it is necessary, this vintage encompasses 30 years of hugely unique experiments and theories. Its vigorous expositions speak about dynamics, elasticity, sound, power of fabrics, and extra. 126 diagrams.
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Extra resources for Dialogues Concerning Two New Sciences
But tell us what you conclude from the results. In fa& I have tried the experiment only a t a short distance, less than a mile, from which I have not been able to ascertain with certainty whether the appearance of the opposite posite light was instantaneous or not; but if not instantaneous it is extraordinarily rapid-I should call it momentary; and for the present I should compare it to motion which we see in the lightning flash between clouds eight or ten miles distant from us. We see the beginning of this light-I might say its head and [%I source-located at a particular place among the clouds; but it immediately spreads to the surrounding ones, which seems to be an argument that a t least some time is required for propagation; for if the illumination were instantaneous and not gradual, we should not be able to distinguish its origin-its center, so to speak-from its outlying portions.
And if any doubt had remained the book which Father Buonaventura Cavalierit [871 has recently published on the subje& of the burning glass [specchio ustorio] and which I have read with admiration would have removed the last difficulty. I also have seen this treatise and have read it with * It is not clear what Galileo here means by saying that gold and silver when treated with acids still remain powders. ] f One of the most active investigators among Galileo’s contemporaries; born a t Milan 1598; died at Bologna 1647; a Jesuit father, first to introduce the use of logarithms into Italy and first t o derive the expression for the focal length of a lens having unequal radii of curvature.
E. D. [SI] Take now any other point in the circumference, say H, where the two lines AH and BH intersedt; in like manner we shall have AC: CB=AH: HB. BH. Hence AB : BH =IB: BF. But the angles at B are equal and therefore AH: H B =IF: FB =EF: FB =AE:EB. Besides, I may add, that it is impossible for lines which maintain this same ratio and which are drawn from the terminal points, A and B, to meet at any point either inside or outside the circle, CEG. For suppose this were possible; let AL and BL be two such lines intersedting a t the point L outside the circle: prolong LB till it meets the circumference a t M and join MF.