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# Title: [Physica, Id Est, Scientia Rerum Corporearum, In Decem Tractatus Distributa] Physica, Id Est, Scientia Rervm Corporearvm, In Decem Tractatvs Distribvta (shelfmarks Leibn. Marg. 7:1-2; ZEN Leibn. Marg. 7:1-2)
# Folio 140, page id 779782283:0226
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P E YSIC AE TR ACTA TVS
pacer: porro relocirates torales, Hoc praedicta Peries T. 2.4. 8. 16. _cc. pri.
Ck ab iplo rubo acquiticae, sunc in inus est ad secundum; vehic, ad
duplicata cuborum, est enim velo-
citas coralis, ve cuneus, cuius b2-
sis est rectanguium, aequale erian-
sulo praedicto, sepraelentanci ve
locicarem, ab exrremo puncto ac
quisitam, alticudo vero ipse rubusi.
igicur cum hrae bales sine ve ipli
tubi, icemque alticudines, re cubis.
xette hi cunei lune in duplicaca cu-
borum: Eline velocirates illa t0-
tales, a tubis aeque compressis ac-
quisitae, Cunc re ipla spatia coralia,
haec enim Cune in duplicata cubo-
rum, Pet n. 2..
Ouarto, hinc crescie velocicas
cotalis, in maiori proportione,
quam cubus; nempe. relocitas crel-
eic per quadrata, a cubus per La
dices quadr. v. 8. E tubus maior.
sic duplus alcerius, in longicudines
relocicas eric quadrupla. li exiplus,
nonecupla; si quadruplus, Pexde
cupla; ecc. hoc maxime experi-
entis congruit, quae si lubec eu
ipsc probabis.
Oninco, alticudines iactuum, lune
in rarione quadruplieata cuborum;
nempe lune relocitates totales ac-
quisicae, in carione duplicata rubo-
rum, alcieudines vero iactuum in.
racione duplicata velociracum, igi-
tur in bis duplicara cuborum, igiEuE.
in quadruplicara; v. 8. Sic cubus,
A, duplus alterius B, id est A, VE 2..
B, vc1. compressionis aequalis; ve-
locicates acgnilicX, exune vE 4V1.
icenque vires imprella, DE: 4. 1
alticudines vero ve 16. 1. HRC POEEO
xatio (pro cyronibus dico) roca-
tur quadrupticara, quod sic primi
mumeri exclulive, ad quarrum in-
elusine; in Serie numerorum con-
certium, ex hic, ad quarrum, _c.
vides proportionem concinuam.
Ratio 1. 2d 2. eA SIplex; 1. ad 4.
dicicur duplicaca illius, qua est
1. ad 2. id est bis accipicur, igieur
quali. duplicatur; est aurem i. 2d 4.
VE quadratum 1.. ad gutadearum 2.
rario 1. 2d 8. est criplicara illius,
quae est 1. ad 2. id est cripliCaEUE; VE
rides; eA auteM 1. 2d 8. re cubus
1. ad cribum 2. denigue racio 1. 2d
16. est quadcuplicata illius, quae
est 1. ad. 2. id est quadruplicacur; est.
aurem 1. 2d 16. ve quadratum qua-
draci r. ad quadratum quadrari 2.
Sexto, vires comprimentes, in
cubis eiuldem compressionis, led
diuerla longicudinis, Cune ve ipA.
tubi; licet enim rires comprimen-
tes in tubis ciuildem longicudinis,
Ene reiplae comprectiones, scilicee
Cauta, VE etectus; aEFaICN (I CIE
eadem compressio, sed diverla lon-
sieudo, rires comprimences lune
ve cubi; quia comprimers. 4. PaF-
EOS, CompresIonc vE 2. est effectus
duplus alcerius, quo dua partes.
comprimuncur, aequali comprel-
SIONC VE 2. VE PaTCE ex Terminis;
nam ses perinde se haber, atque l:
in duobus cubis, dux parres (eor-
(UM COMpTICFCNEE.
Septiimo, hinc vides, quantum.
ex his pendeat res hydraulica, pro.
iactu scilicet aqua comprellaes
quancum in pncumaticis, pro di-
verla aeris cxumpentis ri; in py
rorechnieis pro diverla cormenton
eum, Ceu fistularum longirudine.
quarum lonsiores, in cerra camen,
ex proportionaca longicudine, lon-
siorem inctum efficiune, de quibus
rinve proporrionalium; sic enim. intra
D. L