4973 38999909 4980390699094987 39139908 4994 39209908 4974 390099094981 390799094988 391499084995 39219908 497539019909 4982 390899084989 391599084996 39229908 4976 39029909 4983 39099908 499039169908 4997 39239908 4977 39039909 4984 39109908 4991 391799084998 39249908 4978390499094985 39119908 4992 391899084999 39259908, 4979 390599094986 39129908499339199908 500039269908 In the preceding table, each number in the column of fegments is the area of the circular fegment whofe height or verfed fine of its half arc is the number immediately on the left of it, the diameter of the circle being 1, and the whole area 78539816. This table is here extended to ten times the length which it had ufually been, the diameter being divided into ten thoufand equal parts inftead of one thoufand: And this fize of it alfo allowed me to carry each number out to eight places of figures instead of fix; for when the diameter is divided into only one thousand parts, the proportional part for the figures in the verfed fine beyond the third will not give the area true beyond the 6th figure; but in this table it is always found true in the 8th place. Rule the 8th to the circular fegment in page 108 exto add there, when a fegment greater than a femicircle is plains the use of it; to which it may only be neceffary to be found, fubtract the quotient of its verfed fine divided by its diameter from 1, then fubtract the tabular fegment which correfponds to the remainder from 78539816 the whole tabular circle, and the remainder will be the tabular fegment correfponding to the fegment required, and which muft then be multiplied by the fquare of the diameter. FINI S. |
