Gravesande, Willem Jacob 's
,
Physices elementa mathematica, experimentis confirmata sive introductio ad philosophiam Newtonianam; Tom. 1
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MATHEMATICA. LIB. I. CAP XXI.
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{RMM - RNN + HNN - NNX/D
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} & </
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-nH
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X/D
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} id eſt propter
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communem denominatorem, ſunt analogi numeratores.</
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">In Ellipſi a circulo parum differenti, H cum ſemi parametro R vix dif-
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fert, ut ex generatione Ellipſeos & </
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go -RNN HNN ſeſe mutuo deſtruunt & </
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">La Hire
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ſect. con.
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det. poſt.
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pro. 3. lib
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3.</
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tatesque analogæ ſunt HMM-NNX & </
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-nH
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X, id eſt partes con-
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ſtantes ſunt inter ſe ut indeterminatæ quæ per X multiplicantur; </
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NNX :</
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, nH
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X: </
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dividendo terminos ſecundæ rationis per H
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habemus
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MM, NN :</
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M, N :</
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">Id eſt, motus angularis corporis in Ellipſi translatd ſe habet ad ipſius motum
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angularem in eadem Ellipſi quieſcente, ut unitas ad radicem quadratam numeri,
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qui tribus excedit indicem poteſtatis, cujus rationem vis ſequitur</
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& </
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">vice verſa ex datâ poteſtate detegitur motus curvæ angularis.</
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">Exemplum unicum dabo, quod uſum ſuum habet in Aſtronomicis Detur cor-
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pus quod movetur in Ellipſi quæ ſingulis revolutionibus tribus gradibus progre-
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diatur, id eſt motus ipſius in curva translata eſt 363 grad dum m orbe qui-
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eſcente foret 360. </
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cujus proportionem ſequitur vis eſt {14400/14641} - 3 = -{29523/14641} quare vis eſt reci-
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procè ut D
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{9523/14641} = D
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{241/14641} = D
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{4/243} proximè.</
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corporum.</
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<
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">Vi inſitâ corpus de loco in locum transferri diximus
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de virium comparatione nunc agendum; </
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dine fiat, de harum geneſi quædam præmittenda erunt.</
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traria preſſione non deſtructa, in illud agat ; </
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obtinebit, ſi corpus nullo obſtaculo retineatur: </
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celeritate corpus cedit hanc in perpetuum ſervabit </
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