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# Title: LBr. 437 · Huygens
# Folio 97r, page id DE-611-HS-3595205:0199
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-3595205&page=199
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# Lines: 62 recognised, mean confidence 0.83
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EF
Aliid tractionis genus dum cica centum , mo vetur radius AB
trazetur grave e, a chorda CBE AFC Et erit CF langem
sed possumus ponere F(F) lineam quamcunque
sit AGZ, GFV
AB X et BC, y et dy: dx:: v-v,: X-Z. deniue
s
XL 200+
B
St vo+ZZ Ap- 270+ WV +XX -2XZ+37= a
sit aequatio data interpy: dx X et y. itaque ope aeq. 1. et 3 tolblo
1
dy: ex habebitur aequinter G, v, XZ, nova. sed eam
conjungendo cum ∞g. 2. non licet ad simul tollere  X et y
aptam chabeatur aeq linea FF, ex data aeq. 3. ad lineam cC
sed possumus ponenere A non esse fixam sed fili partem applicari curvor HA
e
Sed et possumus concipere
intendentis chordam alterum puncto A
o applicantis ad L, et ita erit LA + AF + FC = constanti. Possumus.
inae
lationem inter motus  punctorum est et F assumere quamcunque
Ai
sit ergo LA, t LG, Z GFV LB, X, BC, y et dy ap. y vX
et dy: dx: Cef X=F  y- v,: X-Z
et
et
F + Hov LA + AF + FC F a. Ergo F+  vv + ZZ+ AE - 21Z + Vyg yrrvomxa
sit jam data aequatio dyoda = g
posito 9 dari per X et y et ex + et 3
9X-Z = y- b. per ag. 2 et 4 tollatur   alterntia ex
ipsis X et y rest verb. gr. y. et restabit aeq(4) in qua solum X.
fiet
quod si jam contingat  X dan per X estare solum simplice in aeq. 4, potenit
coefficiens ejus poni aequalis nihito. Et ita haberi relatio inte evanescer
et duae aderunt aequationes niter +, V, Z. poterimus geronatater. relinu vere
anc exalicatione sed si detur y et vy, oportur plures assumi abi–
taras, quod fiet v. d. si A quidem sit punta fixiu sia duae describepentur
indetermipallos
simnl curvae MM, et FF, intendentes filum seu cuo puncta in curva
mota punitur M, et pumilis F et fet Lm +MF +FC = a. fiat ergo
LN _Y, maq LM = Yrrtqque MF VZZ - 2ZrtEr + vB- 2V9+99
LGU
L
FG vi
et XFC= TXX- 2XZFrr + yy-2yV +vn
2
et fet du: dx : : y- v, : X- Z et, Trrequs +192- 2Zr +r trm- 2rgtqu F XX. YZ +) +Gy-2y0+ vy= a
t
X
LB
B5 y
et dy: dx =9 et gX -7 = y - v s 5q. 2 jur pend: Aax - 2xZ + 7 + yy -2yV + vV = pp
et
et tollendo, y- B per 4 e fiet ex 5, XX - 2xZ + gZ + g9 XX= 2X7 +77 = pB. L
sed non videb, quomodo 
x = 7  p: 11+99 ergo y - v = 9p: 119
aliquid iuver multiplicatio punctorum cprrarumcum omnes siunt assmutae quantitates
exprimantur per una p, et oparieat ex plicata g, et sublata y restare, X, v, p,7
toagens
abeoque unam tantum arbitrariam assumtione nobis superese
potess et grave simul trahi aduobs tilis, et ipsa bisccauserbu