. De Inventione Centri Oscillationis- Per Brook Taylor Armig. Regal. Societat. Sodal . Ci ^upereft, ut h^c excmplis aliquoi:illuuremus. Ex. I. Sit figora propcfi-.^j Pyramis -yy—^^^ ADC, cnjus bails elt pgr. A D, lltquj j^ Pit motus centri gravitarh in piano rr-mfciin- te per verticeni C & diametru n billsE F lateri A B paralleiam. Ad calculum commodiffime inft^ruen-dum, fit ipfe vertex C ccnrru n lufp^n-fionis. Turn ad modum Prok i. redu-catur figipa ad planum phyfi urn tri-anguH Ifofcelis C E F, in quo e f paral-lelaipfiEF repr^ftn-at lineanj phyficamex particulis p compofitam. Sit C H ~ a.
. De Inventione Centri Oscillationis- Per Brook Taylor Armig. Regal. Societat. Sodal . Ci ^upereft, ut h^c excmplis aliquoi:illuuremus. Ex. I. Sit figora propcfi-.^j Pyramis -yy—^^^ ADC, cnjus bails elt pgr. A D, lltquj j^ Pit motus centri gravitarh in piano rr-mfciin- te per verticeni C & diametru n billsE F lateri A B paralleiam. Ad calculum commodiffime inft^ruen-dum, fit ipfe vertex C ccnrru n lufp^n-fionis. Turn ad modum Prok i. redu-catur figipa ad planum phyfi urn tri-anguH Ifofcelis C E F, in quo e f paral-lelaipfiEF repr^ftn-at lineanj phyficamex particulis p compofitam. Sit C H ~ a. HF. ( -r ) HF-b, 8cCh = x. Turn ex natura figurse erit b Xe h = —5 &pan:icula p fita ad pandum z erit ut x ; vela Potius, hdco h z == V, erit v x eiementi prifmatici bafo, & p erit ut V X x. llnde erit C — C z q. x v x x =: V x x^ 4~x r v^ X. Ideoq; fumma omnkm C z q : x p in lined h z erit v i x^ -\ 3 & in liaea e f (pro v po- nendo— ) erit lumma ilia — xx x-^. Qnde a / ^ a3 iteium capiendo fluentem, & pro x fcribendo a^ erit ^ 6 b a^ + 2 b3 ^ _ . ^ C = K a^. Eft autem pyramis ipfa A. 2t b a a_ .5 8^ diftantia centri gravitatis G a vertice C eftCG=^a. Unde- —CGq: =r5=:CGxGO 4 A ^ A CMaaM* - ^^ta^i ■ n ■■ ■■ ■■■■! ••^^■-^ -^ Ejt. 2. Sit figura propofira Conus reftus defcriptus ro-tatione trianguli ifofcelis E C F circa perpendiculiitnCH. Hie iterum futnpto vertice C pro centro fafpenfionis,& faftis C H = a, H E = b, C h = x, h z == v, uc fuprajerit p = 2 % v >^V— xx — vv^ uade C ^ 2 vx K K K X X + VV K V — X X — V V. Sit B
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Keywords: ., bookcentury1700, bookdecade1750, booksubjectproceed, bookyear1753