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# Title: Leibniz-Handschriften zur Philosophie LH 4, 2, 11
# Folio 8r, page id 00068571:0015
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(secund. prim X et a)  (dx daa +Xx:X (secund ult. X _ a) vuendu an non hec exub
dx VaatxX: XiC. secundum unius literae variationem summare potuimus vel differentiare; vel secundum plures
si acus
per
curva VC sit deter minata inter relationem quamcunque intem
VB et et BC. seu inter X et y
curva 1C1 (C) ponatur determinata Hum areus, V C vel
V(C) aequatur constanti. Et Romodores hic determi
netur fa jam à me ostensum est
sed ponamus alia alter genecaliore determinatione
arcum VC e) relationem dari inter arcum VC seuZ
inter AB e VB abscissam, et inter para
metium variabalema jam tollatur indetu 
operelationis inter Farcum VC et VB, habebitur
relatio inter X. a et
et 2 cujus, ope
quarendo diff. dz: aa, habebitur az seu DiC
popto Va esse aequalem ipsi ViC,  et potenda iFF jam esse
psuperior
determinatam ex primo calculo, habetur ergo et
Jam, FIC datur
isdem ex da ergo datur et 1F, C ad IF, (C)  liberuta a  da
sen tuctus taentium. Adeoque potest duci langens 1C(C)
eit quaeritur primum
quaeratur jam FD differentia
inter arcum ViC, et arcum ViF. Tabebitur arcus DC. valorem differentiando secundum a.
Nam spoua differendiarum inter 1C2C et F 2F, et simisium elementorm respondentum arcum VC et VF, dat
differentiam inter arcum VC et seu s et VB, et ViF. sit arcus generaliter
3ti VC2= sidx ux + agaus  sed (ato) ex + est du = ax asec. X) (rl. X; a) et fieet
et fiet is B sed sto dnax X; a
sed Esexto) d (sec a) (dx _ retrl xsa) = da dx dec a) srl. X3a). Ergo fiet
Poursus seu 1t8= da d ecst) Z
jamre latio curvae senchC t (C) ex eo expringtur
quod catur retam Z=  (rl.Xia) Zaru ve
fit
Hic vel pistris. tollemus X ope aeg. 3
o vel ut habeatur relatio inter Z et a
a si matumus vel quia non semper
+X Erncam C
aeqr.B fieti re du ax d (sec X)roliX; a
+da l(sec a) (rAbXia) a  as lixia
ergo tollendo dx exgg. 9. f habebitur
d(10mot dqe per dqu seu Bi(C) per da
ergo habetur
 in ratione
F(C) per da,  ergo
1F C sad IFiD LaFrC aberit da
da Scil
a
ditur V.C - rVIF, b seu
1Fb) per aequ 7. datur et V (C) - VC
seu 81C) per aeq. 9 vel 10. ergo et t
diff. inter  VI(C) et VIF (seu 1F1C)
(5H) oVI = (dx (1+  (asccX) rlixia) 
tD = da sax a_ (sec. a) 1(1 + a sec. X) El. X, a)
e huc no
e
s c ex natur curvae VC sit ad (1mo) y = (Yl. X; a)
 erit 15C da  da b da a sec. a) (rl X; a)
Et quia in hac summa eodem modo tncta vi
queant
simul vanatus ut
sed non si plures pro parte variatae pro
concurrant, ut hi
etiam interoenire constan
parte invariata
et
sitnae
LIteni ostro a patehitponi dx,
et pro da prodibit dax
ita poterimus tractare eos
Casus, ubi scadxdx ex:x
aut similia. Et quoniam huc
semper reducere possum tangentum
veas differentiales cujusaunue
gradus sequeretur hinc omnia
poss pastari quae desuverabomus
 in hoc genere