System of Natural Philosophy Volume 1

System of Natural Philosophy Volume 1

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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1748 edition. Excerpt: ... and b to move farther towards /: this motion had reduced the convexity to nothing before; therefore, if it continues, it will make the convexity less than nothing or negative. But bending the line amb by drawing the ends of it a and b towards / so as to bring one of them to i and the other to k will make it concave on the side, which is towards /. Therefore the line imk, which is concave towards / is the negative of the line ems or of any other line that is convex the fame way. Now the bending of imk considered by itself without any respect to ems is as much positive as the bending of ems or any other line can be. But if we compare them with one another; if as ems is convex towards /, we ask what is the convexity of imk the fame way, we shall find that the convexity of imk towards / is less than nothing; and consequently the bending of imk compared with that of ems is likewise less than nothing or is negative. Therefore upon the whole, if the bending of a line one way is considered as affirmative, the bending of a line the contrary way must be considered as negative. But a quantity may charge from affirmative to negative, not only bypassing through nothing so as to become less than nothing, but likewise by passing through in"nity so as to become greater than infinite. For let us obierve a little what happens to the radius whilst the arc ems is is unbending itself or growing less convex. This radius lengthens as the convexity towards / or bending of the arc decreases. For me is the radius, when the arc is in the position ems: but when it is grown flatter or is farther unbent or has a less convexity and is in the position gmht then the radius is md. And since in the fame manner, whilst the convexity of the arc keeps decreasing, the radius...show more

Product details

  • Paperback | 222 pages
  • 189 x 246 x 12mm | 404g
  • Rarebooksclub.com
  • Miami Fl, United States
  • English
  • black & white illustrations
  • 1236535332
  • 9781236535337