From the issues premised I collect that the challenge swiftly swinged round by the projicient, in its separating from it, doth retain an impetus of continuing its motion by the correct line, which toucheth the circle described by the movement of the projicient in the point of separation, by which motion the venture goeth continually receding from the centre of the circle described by the motion of the projicient. A grave project, as soon as it’s separated from the projicient begineth to decline. In the first place then, he bestoweth much paines in calculating precisely what number of miles an hour a degree of the terrestrial Globe situate beneath the Equinoctial, goeth, and what number of miles are previous by other points situate in other parallels: and not being content with discovering out such motions in horary times, he findeth them also in a minute of an hour; and not contenting himself with a minute, he findes them also in a second minute; yea extra, he goeth on to shew plainly, what number of miles a Cannon bullet would go in the identical time,A Cannon bullet would spend greater than six days in falling from the Concave of the Moon to the centre of the Earth, in accordance with the opinion of that modern Author of the Conclusions.
And because, as we have now stated, the spaces that are measured by the cadent moveable, enhance in double proportion; that is, in response to the squares of the times, being that the time of 1 first-minute is duodecuple to the time of five seconds, if we multiply the hundred yards by the square of 12, that’s by 144, we shall have 14400, which shall be the number of yards that the same moveable shall go in one first-minute of an hour: and following the same rule because one hour is 60 minutes, multiplying 14400, the number of yards past in one minute, by the square of 60, that is, by 3600, there shall come forth 51840000, the variety of yards to be handed in an hour, which make 17280 miles. Salv.I very readily grant you all this that you’ve got said; however it is extremely much beside our purpose: for whilst you go about to shew me that a cloth sphere toucheth not a material airplane in one point alone, you make use of a sphere that is not a sphere, and of a airplane that’s not a airplane; for that, in response to what you say, either this stuff can’t be discovered on the earth, or in the event that they may be found, they are spoiled in applying them to work the effect.
Sagr.I believe that your placing me to it a second time, hath made me remember one thing that could be to the aim. Salv.But Simplicius won’t say so; and but I don’t suppose that he’s a kind of Peripateticks that disswade their Disciples from finding out the Mathematicks, as Sciences that vitiate the reason, and render it lesse apt for contemplation. The Paralogism of the identical Peripatetick, which proveth ignotum pe ignotius.Salv.I do not assume that if one should ransack all the Paralogisms of the world, there might be found yet another commodious than this, to present an example of the most solemn fallacy of all fallacies, particularly, than that which proveth ignotum per ignotius. Perceive you not that the Projection would do the identical thing upon the floor of the Earth, which is asmuch as to say, it would do just nothing at all? Salv.Which in short is asmuch as to say, it maketh no angle with the road of streight movement made by the sling. An effect identified and observed by all males, unlesse it be by the forementioned fashionable Authour, who not talking of acceleration, maketh it even and uniforme. Salv.Perhaps I did not rightly apprehend that which you said, Do you not say, that this Authour maketh the velocity of the bullet in descending equall to that which it had in turning round, being in the concave of the Moon, and that comming down with the identical velocity, it would reach to the centre in six dayes?
It’s true, that if I compare the velocities of the same wheel, or of two wheels equal to each other, that which shall be more swiftly turn’d spherical, shall extrude the stone with larger violence; and the velocity encreasing, the cause of the projection shall likewise encrease: however when the velocity is augmented, not by encreasing the velocity in the identical wheel, which can be by inflicting it to make a larger variety of revolutions in equal occasions; however by encreasing the diameter, and making the wheel greater, so as that the conversion taking over the identical time within the lesser wheel, as within the better,The cause of the projection increaseth not in response to the proportion of the velocity, increased by making the wheel greater. For more, learn our earlier dialogue in: Buying Sex in Texas: Texas is First State in USA to Make Solicitation of Prostitution a Felony Offense. And this retreat in the direction of A, representeth the primary propension to the movement of descent, diminished in infinitum by the strategy of the moveable to the primary state of relaxation, which approximation is augmentable in infinitum. AH being divided in two equal elements in F, the parallel Hi shall be double to FG, and sub-dividing FA, in two equal components, the parallel produced from the point of the division shall be the half of FG; and continuing the sub-division in infinitum, the following parallels shall be alwayes half of the subsequent preceding; however it doth not so fall out in the strains intercepted between the tangent and the circumference of the circle: For if the same sub-division be made in FA; and supposing for instance, that the parallel which cometh from the purpose H, were double unto that which commeth from F, this shall be more then double to the next following, and frequently the neerer we come in the direction of the contact A, we shall find the precedent traces contein the next following three, four, ten, an hundred, a thousand, an hundred thousand, an hundred millions of times, and more in infinitum.