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# Title: LBr. 437 · Huygens
# Folio 130r, page id DE-611-HS-3595205:0265
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Ergo.
videtur applicari posse ad Delariam
sit
quodlibet plementum curvae aequali pontere omeretur quod sit  LI. et fiat
B.X; BC
fir
ABeseu H .  in C(C) latem polygoni incumbiit pondus
et in quolibet quidem pondus idem premetur, esc) a pondere in ratione
DC ad C(C). erit ergo pondus de dx: de. quod ductunsy dabit
L∞. Se ydx de :de momentum ex AB, erit autrm dic
proport ipsi dus Ergo sit, Cy axdus:de. Qvaeritur cuiusnam
sit momentum an totius ponderis pdo seu jau seu y an vero. An
potius (dety:de ita puto. Nam vis illa reliqua non proficit, cum
averso aliorsum abeat recedatue vente ea vi qua non impendit in
eta velum lu unvercondus quasa in plano inclinato decerrens cGcipi
etaque non totum pondus, sed ad quod summandum est sed id
ujus suum at ca sed summa ejus, quen eorum quae singula quorum
s
possit.
mementa summavimus adhibenda est, tetus. sit AT. distantia momenti
huius ab axc. Et fiet: Syardus: de: (axdy. de = AT. sed
AT = AB- TB et TB. BB.:: dBC: dAB Ergo TB= ydu: dx. Ergo
T= y - gays : dx  Syaxdus: de: (ax dy: de Et difs erentrando
fit, dy = yd dytax = dyay: x Sdx dy: de  ydydy: de) - y dy dyi d c (= (y dxdys:dc)
si sit de constans evanescet ubique fariamus et  esst autem, debe
Ac de = dxdx +, dydy Ego ax adx + dyddus = 0. seu dxcectus   dd
dydq  dy: dx evestuo   g. t
V. a
seu dx = a dy: W
seu ddy: ddx 2- - dx: dy.
et ex oq  fiet 1- ydu adus o voaus adgayin nt ydus se
seu fiat dyidus W  seu fiet agidx w: g
in id malo quam W:a
ne literam a, alias non extantem, sine necessitate introducam, et fiet
sed si faciamus
tunc in d. ayidx obtinento itur ad day.
dy. dx= w:a, habemus a, sed non ingre dimur; differentiales. et fiet
dy - ydw: a = dy W: a, saty ay: W = y dydu quam differentiando fint
dy 2914)
ddus - dus du: a = y ddw: a = ddy W: a - dy dw:a, fadydy: W
ady: W - ydu dydys: W - dus
= y dyddus + dy
ubi pro Sady yico substituento mtren ex eg. 5.
fit d  _ ydydus dus - ydeys duo: a - yy du dduo: a - y1 dydys ady: a = y dqus duo: a
+a ctip: W0 = ydu dy dy: W - ctus du = yduo: a - dy lo: a 2 ydu estitis hp glioia Hilia
porro dio  d L ex 4 sit dydax - dx deus:  dy dy = -adiv: W0n, seu fit
Ex4 du  _ dapidus = addus: nodus = - a du: vu seu fit dex = a Woddus = a dydio
vio
a, aa dy du - aa W addy = W W0ddque seu fit
3
unde ddus: dio sumari pt
Unde ex aeg. 7. tolli po ddus. non tamen
seu duys acdio du :; aaW +W0
pendet ex quadraturs pe ex W.
e
puto sic magnos a nobis factos progressu
sen qu ho t drdc: du c
in sic: sit d x ay: de  = dH. fiet Et ex
108
y - y dydy: drde . = Syds: H
saxtus 1lg = peay, ( vops se X y agal
gara
erdo
sit 
(13) a: deo
Hinc pulo  posse, reduci ad
 simplicem dise rentialem
esit qdus: dede constant seu y: dx = a: deo
et fd idq dedus + ydq dedius ~ e ly et eantsut Ly
d
fiet
X stgte + Sredus = Ay (posita dio stuti
sit TFdy: dndc 
didesiet rds pd aydu + r dud yddus = 1 (H dy)
ydus 2 5 ded.
1)
sed misus adx  dax: day - = W: a Ergo fiet
15
Ergo C tolli pt ex aeq. 14 per, 16
qua du, de illus, ddr et deo cujus opt hillendo dilus ex aec. 14. habebitur
et de de= M d dyai + y dydydnd: dydy. drede
as at qi tum euy v asius su progpoti vuet not
aeq. in qua de, dde, y, dy, deo a sit dH = 84: deo
habebrium aequ
Ex 13 tollatur ec dispereu taud