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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 72, page id 779782283:0158
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DE YSIC A
PROP. LXXXIII.
YRACTATVS I.
IUInd sparium aqninalens praedi
ctum, est planum rectilineum, rectan-
eulum triangulare, sub chorda non
rensa e censionis excessit: v. 9. CIE
Eig. +. chorda AB, ten(a in AIF, Spatium
quod conticie, dum le le reducie
primomodo, in AI, est criangulum
rectanontum sub excelsu censionis
FL, X lor sicudine chordae non cen-
Cae AL; HI VeEO EendaEuE in ATIF,
spatium quod conteie continetur
criangulo seclangulo. Tub excessi
EFI, ec longicudine HA, _C. aUF
S manis praedictum spatium exie re-
Ctangulum, Cub choida non rensa,
de Subdiipla exceltus censionis; auE
Tub excellit, e Subdupla chordae
non renla: haec omnia Facile in-
celliguneur ex dictis; nempe pun-
I, Sparium LR, ita vE LR, SIE ad FI,
ve lA, ad FA; idem dico de aliis
PROP. LXXZIV.
Firmat omnino prop. 63. in qua di-
ximus, chordam plus rel minus
cenlam, aquali cempore reducii
nempe motus lunt ve exceltus, ex-
cellus re sparia decurla, igieur
aequali rempore decurruntur; nem-
De excellus moruum relpondet ex-
ctum P, conticie sparium FL, punctu
punctis; dec.
cellui spatiorum; igitur tantum ad-
Spatia illa confecta a chordaplus
dicur viocui, quancum spario, igi-
cur aequali TeImpOTC AUnE IOTUS.
vel minus tensa, sunt et ipsi excessus:
Nempe cura int criangula (ub ca-
dem alticudine, quam scilicer chor-
18. 4. TuS: v. 8. SIc BE. aequalis FL, crian-
Est tamen singularis objectio,
enim chorda AB, renta in AF, AD, Fi8. 4)
AF, XC. aeque cico reducitur, quia
Sparia decurla, hoc contractionis
motu lune re ipsirentionis excellus
DC, EFI, FI, inodo seducacur pri-
momodo; ac vero si cercio modo
gulum quod relponder spatio de-
lis FF, criangulum respondens (pa-
in AFC, longe mains spacium de-
rio decurlo ab eadem chorda tenla
iI AFIE, est ABD, Sed ABD, est ad
reducatur chorda ABC, renla v. 8.
curric segmentum AF, Scilicet crian-
curlo ab ipla chorda AB, cenla in
AIF, est ABF; Cit aurem BD, aequa
OB LFC F10.
quam hic Omitrere nOn OpOKTCF: (I
da non censa mecitur, illa certe Cunt
ve bales; sed bales sunc ipsi excel-
ABE, vE BD, ad BE, vel vEEHI, ad
FL; igicux re exceltus.
C OR OL L.
sulum rectans lum ACH, cum car
Etinc rides rationem, qua cO1.
men li primo inodo reducacur, de-
currat tancum aequivalenter erian.
sulum rectangulum, Cub FL, AB,
quod est minus priore; ieieur asque
ciro non reducicur illa chorda pri
mo de terrio modo, led cirius iux
ta primum modum, ee cardius iux-
ta certium quod elt COnErA PrOP.
75. dc 76. Respondeo equidem de-
curri maius spatium certio modo,
quam primo, illud camen esse per
accidens, cum reductio nullo mo-
do impediaeur. re lupra ostentum
eAt prop. 75. nempe ex tali redu-
ctione lequitur hic MOTuS Per aC-
cidens, qui camen iplam reductio-
nem non impedie; nempe leg-
enEuM AF, adducitur verlus Ase
Ccomentum C F, rertus C; Ced F, nOn
Pocest simul adduci in L, dc in 7, led
in punctit B; igicur dum se rrcum-
que