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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 211, page id 1066518432:0239
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DE VFRTBUS E Y MIOTTBUS CORPORUM. L IB. II. 2FF
mentis Academix Florentinxe Det Cimento, Roberti Boylii, aliorum-
que constat, aërem ri claterii 60e0, 152e imo e millies rariorem
tieri posse, quam in statu naturali, qui Ac, ut in suppolitionibus
Maraldi non septies, in Mariocci rero non quidem quater rarior
in summitate atmosphaerae quam in stacu naturali, omni ri clastica
destituatur. Verum quidem est, Claris. Macaldum non ultra CX-
tentionem Cemissis Milliaris Fallici proorestionis sux periculum Fe-
cisse, nec adco ulterius eam extendi debere, expresse monuisse.
PROPOSTTIOZRTM. PROBLEMA.
38T. Si scala elasticitatis aeris AFDD fuerit hyperbola communis in Fi8. 9Y.
ter asimptotas FPO anculum rectum continentes, atque sneula rectan-
cula LOD, TELOFD dato rectanculo PFR aequalia fuerint, quaeri-
tur reciproca linea PFF. scalae elasticitatum, es scala densitatum at-
mosphaerae BFB in suppositione cravitatis uniformis seu constantis, cujus
scala sit CTC axi AFR par allela.
In recta indefnita AM SumatuE AT aequalis datxe AF, ductaque
per punctum L recta IT parallela AO, intra lincas MIe IT tanquam
asympeotas descripea intelligatur hyperbola PrB, ita ut quodlibet
in ea rec- lum TIF aequetur quadrato datae AI; critque haeC AYPCr-
bola ETF reciproca scalae clasicitatis AFDD; adeo ut FaCtO rec. 10
ACFC aequali quadrilineo OF FFFO, densicas aeris in loco +A Fu-
cura sIc per 5. 359, +OFD vel TAFB.
Demonstr. Ouia (secundum hypothesin) EO. OD = FP. F A, erit
FO: FA PCU LO =FP: OD PCU FGY, CTGO CONVeRTendO KO: F L 
FP: OP (id est propter hyperbolam AFDD) =OD sCU FO: PA,
ac diridendo LO: F. L = AO vel IIL: AF PCu AIrel LO: creorec. la
extremorum ex mediorum aequabuntur, id est LO = AT = IL. LP,
atque adeo punctum E. est in hyperbola P FF inter a (YMPEOFAS MIL
et lI; ac propterea reciproca lcalae clasticitatis in praesenti lirpo-
thesi eA trperbola communis. Flinc, Si rectanculum quoddam ALC
cuilibet in hac hyperbola quadrilinco OTOFFF aequale factum, at-
que linea IC+A protensa ad alteram axis partem +AFB aequalis
Facta Fuerie ordinatae rOFD, punctum ZB (5. 359.) crit in Ccala
densitatis acmosphaera BLB. Oux erant demonstranda.
SCTO.