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# Title: Leibniz-Handschriften zur Mathematik LH 35, 5, 25
# Folio 9v, page id 00068043:0018
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si quis quaere et lineam GG tatis natura, ut sit FGaeq. TE posita linea GG
Data (quod foret utile ad metrendum figura HFGH ope linea ACC, quia
haec hic arcus in HM aequalis illi figurae) tunc nnib aliud opus est quam una
FG transtata in TE inter duas rectas parallelas AH et HM quaerere
ceinde ubi sumendum sit punctum (7) pro proxium (F) (G) in () (E)
heusserenda, si, et rmrsus ubi punctum (7) pro tertra (F) (G) in (
() (E) tinasferenda, cum ita sci seu quaeritur progressio ipsarum
cum
7(7) (7) (F). nam TE et (T (E) se cecent in C
et
misus (4(E) et F) (E) se secent in (C) debet B () intervallum
secundum asem inter C et (C) esse datum, seu eam relationem
habere ad HF datam, quae postulatur. sed vereor tamen
quin lumen vereor ne accedat valor ipsique HT in valorem
quod omnia turbaret videamus
data relaliare inter X et y.
H F aego X, et FG aeque HT aego t. et
curva squae
Contro T rader FG seu 7E descriplus aircu circuli secabit recta in MN in E.
sit FG o
NEC R4I PE datur aeg. b.
794bb aeq. Tp TP aequ ag. VSy - bb
et HP aequ + = Sgy - bb ruisus 7(B) aeq. SC9y) - bb. et H (P) ag. (4) - 4y) -b0
Tit quaeritur duarum rectaru intersectio.
sit HB qu y. et BC
sg. f. Z sit HB0g. Z et BC a9. v. ob reda E naturam
vc
erit TB: BC:: TP: PE. s _HT seu t - HB seu + g eb Z: V
: syu - bb ib se e itZ + ZZ. WV: yy bb. b fiet 
fiet v aeq. Fb - Z6 : dyy - bb. at ex altera intersectione inter (7)CC) et
() (E) sit similiter V aeq. (+) b- b: (9u) bb. quo
duos ipsius V valores aequare, idem est ac quaerere differentiat
prioris. +b - Zb: syg - bb ponendo Z et b tanguum manentes seu
simplices et + atque y Geminata et scet d b compendii causa
syy = bB vocemus h. fiet;
et d
+b - 2b
Syg.bb
d + equ. b a + + dh = h dt
 erit _ +Fdh + bh at LZ
At
() Zb dh O
uuminum
Similiter ope secuntae interfectionis inter (7C)
 + (+) 4e) = (h) d (t) + (2) b d h) aeqo.
n
2
5g. 0
fiet
s quam aequationem confere cum ptraecedente idem est ac
quaerere proxime pracedentis diffecentiatem, unde proceditur
ad differentio differentiales, fiet:
+ b+ dah = ah at 4 h ddt + Fah at (f) BZ ddr (+) B ah dz Ng.0
sed quia aliunde habemus de relatam ad Dh et dh est enim d0 aeque F() ideo satiue
erat prius in Cg. C proZ substitnere valorem per v, est enim vaeque. +b - Zb : h
seu Z aeg. tb. ho + - hv: b et ex aeg.  fiet + tah + hdt (4) tH ah (+) hv atr. b aeg. 0
et faciendo (+) aequ + fiet +  dt  d+  _ aequ. - vdh aeq. 0
Ergo dat aequ. -  ddh = dh dv. datur autem do ex data dh, et L.
sed non erat cur hoc exemplum persequerem quia in eo jau tum
patet, rem haberi per quadraturas