. De Inventione Centri Oscillationis- Per Brook Taylor Armig. Regal. Societat. Sodal . abitur diftantia CO. Sit enim — ^ d, & (juxta methodum Fhxiomim) C s x p = m, & Cz q :?* p — C. Turn ob C O invariabilem erit futnma om-nium virium ■^~ x n = —- d & fumma onMium parti- CO ^ CO cularuni z::r~~ » p = tttt—• llnd«. applicata fuinmaCOq*. *^ COq: ^^ Mraomentorum ad fumraam corporum, erit -^ C O = d d C adeoqj C O = -rj-. Irtventis igitur C 8c M, per f/watm- iVi mm methodum invcrfamj dabitur C 0» (i E. L C^r. A centre gravkatis G ad horizontalem Co due perpendicularem G g, & fit corpus ipfum A B C
. De Inventione Centri Oscillationis- Per Brook Taylor Armig. Regal. Societat. Sodal . abitur diftantia CO. Sit enim — ^ d, & (juxta methodum Fhxiomim) C s x p = m, & Cz q :?* p — C. Turn ob C O invariabilem erit futnma om-nium virium ■^~ x n = —- d & fumma onMium parti- CO ^ CO cularuni z::r~~ » p = tttt—• llnd«. applicata fuinmaCOq*. *^ COq: ^^ Mraomentorum ad fumraam corporum, erit -^ C O = d d C adeoqj C O = -rj-. Irtventis igitur C 8c M, per f/watm- iVi mm methodum invcrfamj dabitur C 0» (i E. L C^r. A centre gravkatis G ad horizontalem Co due perpendicularem G g, & fit corpus ipfum A B C = A. Turn ( H ) Turn ex notiffima indole centri gravitatis erit M^s Gg x A. d C C g ^ il Prop, 3^. Tbeor. i. litdem PoMs. xtu^ratur mnBnmO in re&2 C G tranfem = CGq: + Gzq:4 2CGxGf^Eft ergo C =: (aggregate om-nium C z q : X p =) aggregateomnium CGq:xp+Gzq:xp— 2 GGx GF X p + 2 CG ^Gfxp. At ob centrum gravita-tis G, eft aggregatum omnium2CG^GFxp= aggregateomnium 2 C G x G f x^. Quareeft ^ C = aggregate omniumCGq; )ip +Gzq; ^pr^CGq:^ A + U At enim.
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Keywords: ., bookcentury1700, bookdecade1750, booksubjectproceed, bookyear1753
