. De Inventione Centri Oscillationis- Per Brook Taylor Armig. Regal. Societat. Sodal . V C zq : X p in reda hz =: :2 i h~ x^B b v2 * Et qaanc lo 4a^V ^ ctbj erie haec fumma A a^ 4- b^ 2 X J« *^ 4^^ - K^ B J CDjas duplum - 4 a- + b^ . -—-^■ a2 X x^ B ea pars ipfius C in t€d:a e f. Eft aiitem area B ut x^; fit A a^ + b^ergo B = c x^; atq^ pars ilia ipfius C erit ^ —-^^ X c i x*.llnde capiendo fluentem erit C—~ 5Eft autem conus ipfe A — f c as, &: C G = I a. Unds X c a?. CGq: D 2 a^ -f 12 b^^ A 8o MMHWMM«MHIMM ^ Atq5 ad hune modum procedit calculus in alijs figuris^iibi rationes C h ad h e^ & h z
. De Inventione Centri Oscillationis- Per Brook Taylor Armig. Regal. Societat. Sodal . V C zq : X p in reda hz =: :2 i h~ x^B b v2 * Et qaanc lo 4a^V ^ ctbj erie haec fumma A a^ 4- b^ 2 X J« *^ 4^^ - K^ B J CDjas duplum - 4 a- + b^ . -—-^■ a2 X x^ B ea pars ipfius C in t€d:a e f. Eft aiitem area B ut x^; fit A a^ + b^ergo B = c x^; atq^ pars ilia ipfius C erit ^ —-^^ X c i x*.llnde capiendo fluentem erit C—~ 5Eft autem conus ipfe A — f c as, &: C G = I a. Unds X c a?. CGq: D 2 a^ -f 12 b^^ A 8o MMHWMM«MHIMM ^ Atq5 ad hune modum procedit calculus in alijs figuris^iibi rationes C h ad h e^ & h z ad p font magis com« Ex.^. Ut pateat ratio calculi quantitatis D, fit %ura propofita parallelepipedon,CUJU5 iacies Horizonti per-pendicularis,& paralleia pia-no motds centri gravitatiseH:A B D* Due diametros E F& H I, & fit altirudo ele-mentorum p^:: & lit t r pa-rallela HI ; & G F - a,Q H — b, Gs= ^i & sz = V, Turn erit D - v x xx+ X V vv. Undo ipfius D pars in reda t r erit 2 b i x^+ ^bsi latq^itemm furoendo fluentis duplum, erit. Dp 4D a? 4- 4 ^^ i wiijiwupl aa-f bb3 ( »9 ) I ■• Atqai eft AD B quad. a D f um £ /til Ex, 4* Situldmiim exemplam ioSphsera, cujuscirculo-ftiaximus B c r, diameter A B, S:centrum G. Turn du^is Vmcis m inSchemate fatis patent, erit d = G sq:K p -f Gm q: i, p. Ac fiiciinia om«fiium G s q: k p in reda t r eftG s q J duftum in aream circuli dia-metro t r defcripti. Item fumniaomnium G M q .• x p in reftd k i eftG m q: K aream circuli diametro k ftatim conftat efieD =; qoater fluentiipfiusGsqs in aream circuli cujas diameter eft t r> Sit ergocarea circuli cujus radi| quadratum eft i, & fit G A = a,§c G s = %. Turn erit d = 4xxx k caa — cxx —^ 4 c X x^ Hade fumendo fiaentem, 8c at eritD = — c a^-. Eftautem A=: ^ca^, 15 3
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Keywords: ., bookcentury1700, bookdecade1750, booksubjectproceed, bookyear1753
