Gravesande, Willem Jacob 's
,
Physices elementa mathematica, experimentis confirmata sive introductio ad philosophiam Newtonianam; Tom. 1
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181 - 210
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391 - 420
421 - 450
451 - 480
481 - 510
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PHYSICES ELEMENTA
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motu ſuo per punctum G, quod eſt punctum altiſſimum
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cùm hoc detur in linea CS.</
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<
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">Si detur curvâ à corpore percurſâ, velocitas quam habet
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corpus in puncto quocunque ut F, illa eſt, quam Corpus po-
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teſt acquirere cadendo à linea horizontali per L ducta ad
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punctum F. </
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<
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">Nam Corpus per planum quodcunque ex A,
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velocitate qua projicitur, adſcendere poteſt ad horizontalem
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hanc lineam , ſi nunc planum detur ad F uſque cum
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corporis projecti via congruens, in F autem ſurſum defle-
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xum, corpus in F illam habebit velocitatem qua juxta pla-
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num hoc ad horizontalem memoratam pervenire poteſt,
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id eſt quam cadendo ab ipſa horizontali ad F uſque ac-
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quirere poteſt .</
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<
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">Sit corpus ex A projiciendum per punctum H in I, poſi-
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tis tribus hiſce punctis in eodem plano verticali, & </
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fig. 7.</
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medio ſupra lineam quæ reliqua duo jungit. </
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rizontalis & </
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<
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AL. </
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quarum ultima ſecat AL in P; </
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P, & </
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habetur
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D directio jactus. </
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R quartâ parte
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I; </
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D
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ſecat in B, ducatur BL ita, ut angulus
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BL æqualis ſit
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angulo
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RB, velocitas quæſita eſt quam corpus acquirit
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cadendo ex L in A,</
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<
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E & </
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AD, dum cadit per EI & </
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">ut ergo demonſtremus
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corpus per hæc puncta tranſire, demonſtrandum
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E
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ſe habere ad
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D
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, aut EI
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ad DG
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, ut EI ad
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DH .</
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,
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I ad AG, ut
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P, aut DG, ad DG minus GH, id eſt HD, Sed
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in triangulis ſimilibus
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EI,
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DG; </
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I ad
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G, ut EI
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ad DG; </
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ad DG
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, ut EI ad HD. </
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locitatem autem rite eſſe determinatam conſtabit ex colla-
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tione fig. </
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