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# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 1
# Folio 36r, page id 00068194:0071
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Est aatem A F, constans, aequalis ipsi B coB, vel AG, quia in aquales semper partes sectimus
intervalla applicationum ergo et ET, erit recta constans soc Est niminum Ex his ita
ratiocinabimur: quia Ao ad EF, ut colp ad AB, hinc sC EF, col. Rursus quia AD ad EF
ut RF ad ET, hinc AEd F EF, A F
AB
, quos duos valores aequando erit
coip
 aequ. AF
7
Est autem colt viqu A F ex hypot hasi factae abique dinesi visectionis ergo erit et EF aqu. AB
Dommus ja Ergo ET+ AB, cog b
X
 est ergo ET recta constans, quia ubicum
sumatur E tamen AB, cor, AF sunt semper eaedem. Quia ergo intervattum langentis ab
applicata in axe sumtum semper est recta constans. Ad hoc probanduus non erat
necesse ut AB, esset unitas s constructionis et primaria rogarichinicae Recta nam
quaelibet alia pro AB sumta e eandem suppeditabit conclusionem, quod AB
Et recta constans. Quia autem intervallum tangentis ab applicata in axe sumtum
semper est recta constans et nulla est recta constans, quae non logarithinicae applicata
intelligi possit, hinc illa applicata nerit aequalis suae lingentis intervallo, adeoque
euentem erit tangentisgnce.
Tantum inquirendum an non illa ipsa AB sit etiam Unitas constructionis, seu
primaria curvae recta
AB-  AB- V
Pet
=AB+ ∞. -AB+ OAB+07 AB-08
ER
AB-O
AB
Si co
Agri
esttam  aequ 1. ergo Qui calculus non procedit nisi AB sit unitas primaria
18⊓B AA(, 5-
+B
quod si st βB infinitesina ipsius AB, vel BC AC
Eritue _  AP id est infinitesima
tB ipsius AC Pono O debet esse aequalis ipsi AB, quia
nempe poq B C) 
AB O est infinite parva, seu in aequatione supra posita C, D et
AB+O∞
ed  D poterit Sed quia quaeritur an sit AD- O  E
6
∞ = AB() =. seu   O∞ - C +) AB, seu an O= - AB,
C
∞
cau Rrationes,
videndum an
3E- AB
C
92 = AB
O+ AB
C = AB ec
AF
∞
an inter A et C. sumatur punctum medium S cui applicetur SR media proportione continuata progressione fiant tandem quantitas minore, quavis data ratione seu quanlitate
posito AB  C. fiet enim 10 - 1) 2 O - 2 ( 404 - 4) 8O -8. quae
quantitates videndum an fiant quavis data quantitate minores. Ponamus cr 1. et 
fiet.
O sit aliqua altissima potentia ipsius 2, ut 2. 274. 2116. 2  1616256)
ut sit O() 256 fiet. 1,256 - 1) 2, 2564, - 2
q
 seu  cer
2
seu 16-12
4, 2564 - 4
2, 4-1
G
31
8, 256, - 8
8, 2 - 1
∞ 2 - 1(2,Y2 - 1. 4, 2 - 1 (8, 2 - 1 16, 2 - 1 3 2 - 1 1
16,82 - 1
differentia inter duo
integros minor.
unitate, vel
Sit curvaev - 112, YV - 1 14, 30 - ea quantias tandem fieri deber quovis fracto
tam parva ut licet per infinitam, multiplicata maneat infinite parva, sed
ordinatu
hioc demonstrare paulo difficilius videtur. Nis miossa primum inquisitione