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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 204, page id 1066518432:0232
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20+ DE VLRIBUS ET MOTIBUS CORPOKUM. L. 1B. II.
lariis 2,3, 405, et 6. hujus Propolitionis suppoluimus, altitudines Mer-
curii in barometro in locis A, TA, 2A, etC. politi, crunt ut ordinatae
AB, TAFB, 2A2B, ec. in scala densitatum BFBZB, S Scilicet
Graricas corporum unitormis, leu in ommi a centro terrae O diltantia
eadem fuerit, ut tuto id alsumere licet. Propterea datis quantita-
tibus Mercurii in barometro in locis A, LA, ex 2A existente, e
alcitudine ATA; inrenietur Logarithmorum opc altera distantia seu
altitudo A2A. Nam, quia AF A cA ad A2A ut 10G- uS rationis AB
ad sAFB, ad l0g- um rationis AB adt 2A2B; SI lOG- US rationis AB:
2A2B ducatur in datam altitudinem ATA, e productum diridatur
Per l0g- um rationis AB: +AFB; quotiens manifestabit altitudinem
quaesitam A2A. Sin vero ex datis altitudinibus ATA, A2A X ra-
tione AB: TAFB quaeratur ratio AB: 2A2B, seu ratio Mercurii in
barometro collocato in A ad quantitatem Mercurii barometro exi
Cente in 2A; l0g- us rationis AB: CALB tantum multiplicandus est
per A2A ex productum diridendum per AFA, et manifestabit quo-
tiens l0g. um rationis quae sitae AB: 2 A2B, inrento rero 105- mo ipla
ratio ex tabulis utualibus losarichmorum illico innotescet.
S C H O L YO N.
370. Ve regula noni corollarii exemplo aliquo illUSrCTE, PO-
natur altitudinem Mercurii in A seu AB eNC 28. digitorum, ex in
altitudine loci TA supra A, id es AFA, 63. pedum Mercurium una
linea deticere, ita uE XAFB tantum sIE 335. lincarum, cum AB, seu
28. Dollices, contincant 336. lincas. In altitudine vero A2A Peu in
lOco 2A quantitas arsenti viri 163 lincis deticiat a quantitate in A
seu AB, adeo uE 2A2B FaNtUm SIC 3T93 lin. Ouxritur in hisce da-
tis altitudo A2A. TuXta Canonem (5. 369.) 108-uS rationis AB:
2A2B Teu nunc l0g- u5 336: 3r93 mulciplicari debet per AFA Peu
63. ex productum diridi per log. um AB: XAFB (cu 108. 336: 335,
et quotiens indicabit guaelitum; atqui productum ex 108. 336 -
108. 3193 in 63. dirisum per 108. 336 -105. 335, Praebet 10531, er-
80 hic numerus exprimit, quot pedum sic altitudo quaelita. IlOc
exemplum CumsimuS ex Mariotti Tentamine De Natura aeris, qui
Pa5. 294. e 195. retert, Celeberrimum Calsinum obserrasse olim
in summitate alicujus Montis in Provincia Gallix, cujus altitudinem
diligenti dimentione 1070. pedum invenerat, Mercurium barometri
26; lineis deprestiorem fuisse, quam ad radlicem moncis ubi ad. 28.
disit