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# Title: Qua Continentur, Oratio Inauguralis. Mathesis Universalis; sive, Arithmeticum opus Integrum, tum Numerosam Arithmeticam tum Speciosam complectens. Adversus Meibomii, de Proportionibus Dialogum, Tractatus Elencticus (shelfmarks Leibn. Marg. 84:1, Stück 1; Leibn. Marg. 84:1)
# Folio 344, page id 826603459:0390
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3 +4
De Recula Aurea.
l
Porro, E Donantur aequalia spacia, AB, BC, CD: Pondus
perlpacium AB jam delaplum, concinuabie mocum per (pa-
cium B C, majori veloeicare, quam perspacium C D move-
recur, Ei mocum a puneco Cinchoarerie. Propius tamen a cen-
ero abest lpacium CD, quam BC:: verum illud (BC) ab
inicio motus (2 puncio A inchoari,) magis distat, quam ab
inicio motus (inchoaci a C) distac (pacium CD. Ouxe om-
nia cum experienti erunt comprobata, cum ab iis cradica qui
de moruum acceleratione acutissime scriplerunt. Omnes icag3
raciones illae, quae apua PhytcOS DaSSIM OCCUTTUME, AC MIOEUS na-
curalis celeritare aucta, a propinquicare ad centrum ductx
Penitus cranelcune. Ouippe non cam cerminus ad quem, quam
terminus a quo, in mocuum acceleratione spectandus erie.
Idem peccabitur, s hujulmodi proxonacur problema
quali hac regula Colvendum: Si vas L2 conciorum cap aX, aquae
implearur; atque, aperto in fundoforamine, exeant in duobus horae
minuris ires consii; quaeratur antem, quanto tempore 1Ota exibII aqua Z
Propolica quippe quaettione, h3 consii eAluane in 2 minuliss
22 consii in quoc minueis exibunc e
Respondendum esset, juxta hujulce
regula renorem, cocam exitarum
aquam minucis octo; quia 3. 2::
F2,8. Acque hoc quidem verum
200 24 on
3)24 (8 =
esset; modo aqua eadem pergat relocitare exire qua ca-
PeraE. AC Secus omnino se res habet. Siguidem continuede.
crelcic exeuneis aquae celericas, e quo minus superest extrau-
riendum ague, eo segnius exie. Majore nempe de vion
leneia e relocitate eAuet aqua vase pleno, quam Cemi
pleno; quoniam aqua inferjus exitura majore mole superio-
ris aguae premitur. (Non obstance, quod rulso admitir lon
lec, princixio, De cravi in locosuo, hoc eAt, in rem vel aeque
vel moxis grarem, minime eraviianie.) Cui sidem Faciene ipA
Oculi, h accendatur quanco majore ri _ relocitace, ex dolio cer
vilixe pleno, per eundem canalem, exeat cerritia, quam cum pron
Demodum evacuatur.
Ombus aurem eradibus vel crescit velocicas cadencis pon-
deris, vel decreleir velocitas per canalem exeuncis aquae non
hujus locick inquirere. Sufticie impeaelemiarum monviste,
banc, quam erx manibus habemuo, regulam, non nili de
quancto
efstuentis
aquae vis
laneuescens