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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 254, page id 1066518432:0282
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254 D F VERTBOS EF NIOTTBOS CORBORDM. LTB. II.
cularis ad axem currae AII quadratum celeritatis, qua trilincum in
Auido incedit, vel quod idem est, quadratum relocitatis, qua fila-
mentum bBBB elemento currae Bb altabitur, exponetque (5. 429.
MO. Beimprectionem, quam tilamentum bbBB, juxta directionem BL
in elementum Bb exseret, sed imprestioni ilti equipollent latera-
les juxta BG _ OF, quarum haec axi AHI Parallela, illa rero per-
pendicularis est; et quia impressiones juxta BF, BC _ OF TunE
ut lae linex respectire, vel propter triansulorum BFC et Bef simi-
licudinem, SICuE Be, Bf ee ef, atque impressio juxta BF = MO. BC,
CTIE IpFCNIO juIXTa CF =MO. ef, e impressio juxta B, =MO.
Bf. EF sic respectire in quolibet alio currxe elemento.
II. AGAREUIE POErO per M recta MN parallela elemento curra
Bb, vel tansenti currae in B, ex N perpendicularis NP ad lineam
SM, quantum opus est productam, PO normalis MIN, e denique
DR Parallela MO; Critque figuTa NPMO similis ASUEX BCBF,
cum singula latera unius fgurae parallela sint lingulis alterius. PrO-
Peerca latera in hisce duabus figuris similiter polita proportionalia
CrunE; hoc CK, bH: ef =MIO: OR, atque adeo MO. ef = OR. bF.
Vel etiam, ducta per B recta indefinita BL. parallela axi AII, at.
que in ea TUmta KL ubique aequali respectire OR, ita ut inde no-
ra curra du L resuITCE, Crit MO. ef (=OR. BF,) = KL. ICK PCu reC- 10
Agura AdL IE inscriptO.
TEem EB: fB (= ON: R N) = MO: OR, AC CONSeqUeNtEF MO.
BF = OR. EB, veletiam = rec- 10 TFTB area AaTHI inlcripto, si, etiam
in singulis ordinatis BII ultra axem AII productis, Cumta Fuerint
Termenta III aeualia homologis OR seu HL.
TII. Ouoniam igitur singule Auidi imprectiones in curra AVB
juxta directiones currae perpendiculares equipollent laceralibus axi
currae parallelis exponendis (BUM. T. HujuS) rec- lIS MO. ef, vel
(NUIM. IF.) rec. liS LIEK, e perpendicularibus axi exponendis
(NUM. T.) per rec- la MO. BF, Peu (nUM. TT.) Per rec. la THIB, im-
prectio, quam unirersa curra AVB a Auido subibit, aequipollebit om-
nibus LIk ex omnibus IEIB; atqui omnium potentiarum RICL. axi
AII parallelarum media directio Zu, axi icidem parallela, (5. 56.)
transit per centrum sxaritatis area AdLK, quae omnia LIK conti
net; e omnium potentiarum TETB axi AII perpendicularium media
directio VY, axi AII normalis, seu ordinatis FII currae a YI sequi-
distans, transit per centrum graritatis fgurxe ACIHI, qua omnia
TFIB continet. Ergo imprestio, quam Auidum in curram AV B exc.
Y