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# Title: Leibniz-Handschriften zur Mathematik LH 35, 5, 4
# Folio 17v, page id 00068022:0034
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 16r); this page is its left half.
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# Lines: 88 recognised, mean confidence 0.75
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

imo non
ye p  puto haberi posse. Nam.  ejus momentum ex xpest.1
ex 7+B, est
Eurgo
r, Y.B
y, y-e
y, 7+β
y, r. B
Ejus monentum ex y-β, est 
Y, rrB I y, y 2
Ergo f 01
eodem modo.
Enui
3, y. B
7, 7B
72 1I
Y, rip quama differentia est
Tam:  ex N. Bdat , exZ ut 
Y7 Y. (
Y77,C per 3+B dat , per  y dat 1
Habemus ergo
y, 7+B T) y, y2 B sive.
y, Y1β)
Hinc illud altem ducinus.
bTI b+ B, b+2β)
4yC. 2y, + 2y, y - β
Y- se
superest, ut quae d Circulo et Hyperbola dicca sunt perficiamus.
scries: A 3.
e y, yiβ
3, n
VireB ( y 94. Ergo in aeq. 1. substitulis vatoribus ex aeq. 2. et 3, fiet.
va +
B+ B, b+ 2 yt I Y y .
55.
sive 2
V Y.
 + 2,y- V
5, = 
Beognit.
+
bas bB
cognitae...
rationigadnents Diametrum
Ea sic cmnacrobitur amalytie: E y yoB. Ponendo, y. esse ardhmetice crescentes; et . esse inremen
tum. Poimam autem V esse  1. et ipsam β. in erementum constans esse 4. Habuta, autem summa
Unius
1
1,7 + β secundum hanc quam dixi explicationem, habebitur, et summa cujus libest, quomodocunque
prima  seu minima y. , et intervallum constans ipsarum 8. explicentur.
Quod ita ostendo: Primam y a quaecunque sit vocemus Unitatem appellemus V. Retucamus
ad unitatem, quim von serieus ex quadratura circuli pendens ita erit in numeris.
7,0+2  1+2, 144+Z 118, 1+81 
Quae a sere
erc Haec series  quadmplicata redibit ad hanc.
4, 47 :
que  B
41 4 +1+ = 4+2, =+2+2
2,2+ 
in eo tantum differt, quod prima y. sumta est non 1. sed. cuferantur a se invicem, sane:
e pando Z pro y et  proB quando non significant 1, fiet.
3, 7+ = β
E y+2, y12
sive  fei: Y+  y + 2 r E,
unde. + sic 2y, + 3
fier  712
3+ 
= y,   Y+ 1B (3, n. 1  = v 1e3)
Y, V + = β, Y +3+
2v +3 + B
V, x+ ZB, Y 12 + =B.
v, y+ 2B, y + 2 + B I yr : B, Y12 3, yrE BY) 3 v2, vi
Habenda est Ergo series ista:
2t 213  2 hioc = v. 16 . 5, + 2. Eer 1 1 t, 1r, 2. Bn  33 seu 27.
5+5 5015
. sed haec progressio parum tratabilis.
  + 3 4 + - i set eErculo =  + L -  ex Hyprtula. Hum dlaptum, L -  + 3 -  +  etc
ex qua auferatur praecedeas ad circilum, fiet : + = L + 3 =  H -  + 2  - + + erc. 8i contranddatur
frer:
Rer.
122
=2 X =  + 2 = L ∞ - = erc si  ab 1 - = + + - 2 etc. auferas = -  +  - 1 erc.
50 -
4M pom 2 13 in 2o 30 2 16  etc habentur
10 eli estun l. V. En  rst a. 
e
habetur ex quad. Hyp
vid sec plagulam VIII