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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 243, page id 1066518432:0271
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DE VIRZBOS ET NIOTTBOS GORDORUM. LIB. II. 243
Ponantur insuper BD currae normalis, et FD axi AMI parallela, ac
ductis per puncta R e S lineis R, OS parallelis AS eE AR, et
ex cadat Od Derpendicularis Cuper RS, e du perpendicularis su-
per AS. Adco ue, si insuper lineola ef ordinatae BN parallela ducta
fuerie, fgurx bBBfe _ ROSaB similes Futurae sint, quandoquidem
singula latera unius singulis alterius parallela Punt ex similiter p0-
(IFa.
TI. Adeoque in figuris similibus bBBfe e ROSaB Crit RA: D0 =
BB: fe, aEque RA. fe = Da. BB. Verum, quia triangula OSD eE R AI
similia _ OS aC R A aequales TUME, erit etiam SD =RY, _ PeF CON-
sequens B0 =RV, ergo etiam du. BB = RV. BB, id ost, per contru-
ctionem = FII. IIB; ac proinde R A. fe = reC. IO THIB AFCX OTYTC
inscripto.
TII. Tgitur, quia filamentum Auidi Z. BbZ in currx elementum
Bb impinsentis imprestio in hoc elementum juxta directionem BD
eAt (5. 429.) AR. Be, quia AR exponit (secundum hypothesin)
quadratum celeritatis Ruidi currae allabentis. ImpressIo vero, juxta
BD, rirtualiter continet imprestiones ipsi aequipollentes laterales,
juXta BF. _ FD directiones axi AM perpendicularem e paralle.
lam, quarum perpendiculares axi BL, utpote quae contrariae et di-
recte OpPOSEX TUnE, quatenus ex duobus elementis circa aXeM AMI
similiter, sed ad oppositas partes sitis BB, Bb derirantur, se mutuo
elidunt, ut adeo nulla carum ratio habenda sIt, Sed solae impressio-
nes, juxta directiones FD axi parallelas, considerandae reniant. PA
vero (5. 39.) imprestio juxta BD ad impressiOnem juXta ED utBD
ad F.D, seu, proprer triangula similia, FBD et fBC, SicuF Be ad ef,
id cAt, uE R A. Be ad RA. fe seu (nuM. T FhujuS) rec lum IIIB. AF-
qui, ut inicio hujus numeri dictum, impresio Auidi, juxta BD eA
RA. Be; erco impressio Auidi in elementum Bb, juxta directionem
axi AMI parallelam, est rec. lum TFTB. AEque adeo impressio, quam
omnia BB, TCU FOTa CUrV2 CBABC a Auido subibit, id est, reMRON-
tia hujus currae exponetur omnibus rectangulis TFIB, quae in bili-
ReO CTYTC continentur, ex in bilineum istud eranelcunt; hoc CR,
relistentia Currae CBABC, juxta directionem MA, motx in Auido
exponenda est bilineo CTYTC. Impressio vero, quam linea lL a
Auido ad angulos rectos excipie, exponitur rectangulo ex FH in RA,
seu (quia Constr. CL =RA) reC IO CLLC. Ergo resistentia, quam
curra CBABC in Duido patietur, erit ad relistentiam lineae FF.
ut area CIYIC ad rectansulum CL. LC. Ouod crat primum.
Quoad