Miscellanea curiosa: being a collection of some of the principal phaenomena in nature / [Edmond Halley].
- Edmond Halley
- Date:
- 1705
Licence: Public Domain Mark
Credit: Miscellanea curiosa: being a collection of some of the principal phaenomena in nature / [Edmond Halley]. Source: Wellcome Collection.
357/390 page 337
![(as will appear. by dividing RenyRva-k, Wwe : V VR by RTM be yp ay RM Ractive thy hm pars ey ik a nay” Mee KR rat ad? “RAY? tee abe: (fuppofing, the Progreffion R. to begin at V==1.) That is | ee 3 (dividing all by 2, that fo ~ fia the Progreflion may begin ee Aa: R at mote 5. Wee eS vist , ee RT wel Rena RAR, TR RE +e -©c. That is,in our : Wy prefent Cafe (becaufe of a TRR V=], Sea gee aed m3 Co &c. = m—1. That is, (putting z==m—1).2 of what it would have been if there had been 11. This infinite Progreffion is fitly expref= _ fed by an Ordinate in the exterior Hyperbola, parallel to one of the Afymptotes ; and the feveral Members of that, by the feveral Mem- bers of this, cut in continual Proportion, As is there demonftrated at Prop. 15. For let S H, (wid.Fig. 4. Tab.§.) be an Hyperbola be- tween the Afymptotes 4B, AF: And let the Ordinate DH.(in’ the exteriour Hyper- bola, parallel to4F,) reprefent the impref= fed Force undiminifhed , or the Line to be defcribed in fuch time, by a Celerity anfiwe- _ Table to fuch undiminifhed Force. “And let BS (a like Ordinate) be m thereof: which therefore, being lefs than DH (as being e- qual toa Part ofit) will be farther than it rom AF. In AB (which | put=1 ) let Bd be fuch a Part thereof, asis BS of D ¥. Now](https://iiif.wellcomecollection.org/image/b33012763_0357.jp2/full/800%2C/0/default.jpg)
