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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 180, page id 779782283:0266
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# Lines: 86 recognised, mean confidence 0.90
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18
PE ZS RCA Y RACFA FYS
NON FeduCnnEuE in BL, aeque cItO,
28. 50. isitur N, vel cirius, rel cardius;
non primum, quia cum NI nON
SistaC In L, ProPter impetum ac.
quilirum, per reductionem, de-
nuo in concrariam, vel oppolitam
Parrem cenditur, quod dici non
Porest; nec enim vilo modo cen-
Lionum ceductiones confunduneur;
non secundum, propter camdem
FAtIONCI: PEXTEFCA LI MUTALCTUE
ordo reductionum, haud dubie
diversus Ponus audiretur, ex vi-
Bracionibus lamina cenla, se se rc-
ducencis, acque librantis, ve vi-
debimus luo loco: deinde est qua-
E communis omnium paecium ni-
Cus; igieur omnes aeque ciro Cuam
vibeationem deCurruNE: OittO
analogiam chordae cenlae, cuins
omnes parres aequè cico le le redu-
CUNE.
PROD. CCL ZXZITI.
Singula puncta praedicti arcus re-
ducunt se se motu inaguali; id est
inaqualis velocilaris: Cum eni.
Singula aeque citO reduCANTUE, PCF
prOP. 282. e cum lingula inxquale
Spacium decurTaE, VE PateT; cerTE
lingula inae quali moru moveri, ne-
celle est; nempe illa, quae propius
ad centrum accedune, minus (pa
cium decurrune; igicur cardius
Si8. 50. MOIeNEuT; V. 8. NI cardius, quam
C, in qua vero proporrione Nmo-
neatur cardius quam C, Facile de-
cerminari porest; lunc enim hi duo
mocus, re decurla spatia; haec
BOETO rE CuruL NI. L, ad curuam
PRO P. CCL XXXIV.
Ex his haberi potest tota velocitas;
seu vis nisus acquisita, ab aroit, per
reductionem inceeram, in hac scili-
cet hypothest arcus circularis: ITem-
De cum ris nilus puncti K, SIt ad
vim nisus puncti D, re distancia
IEA, ad distanciam DA, per PrOP. Ei8. 50.
268. SIDC MaIOF SIC EenSIO, Cue mi-
nor; igitur cum aeque ciro redu-
CAHEUT K, _E D, Per PrOP. 282. id
est, eodem tempore, ve le habet
vis niTuS puncti. K. 2d vim nilus
puncti D, in cenSIOnC RECUS AKD;
ita se habet ris nilus puncti N, ad
rim nilus puncti C, in censione
aIcus AHC, idem dico de omni
bus aliis; censionibus; IDITUIE COTZ.
ris aequisita a EotO aecu, cAVECU-
neus, cuius alcicudo est re longi-
cndo aecus, id eAt vE AB; e balIS,
ve ris acquilita ab. exeremo puncto
aFCUS D; qux semper habetur in
rectangulo aequali criangulo, cuius
alcerum lacus, circa angulum ee-
ctum, sic spatium, _ alcerum (It.
ipla ris censionis inicio, de quo ini
PFOP. 281
P ROP. CCL ZX XV.
Si dua linea simul inneanur, s
incurnenur in arcum cireuli, erie
dupla vis nisus; si rres, tripla, 8c:
Hloc facilo probatur, per aX. 4. Cum
sic eadem caularum, et effectuum.
Proportio: hinc vis plani rectan-
suli intinicies Cuperar rim linexe;
quia sune infiniex linex, Scilicee
mathemaricae in plano, de vis pa-
CB; vel aequivalenter, re di- xallelipipedi infinities superar rim
stanciae d centro, seu punctoim- plani, propres camdem rationem
motili A.
in nostra camen hypochesi puncto-
rum phiysicorum, cerre cum in li
nea non cinc intinica puncta phy
Sica