# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00067993:0396
# Permalink to this reading: https://leibnizlegible.com/page/00067993:0396?run=44
# Title: Leibniz-Handschriften zur Mathematik LH 35, 2, 1
# Folio 197v, page id 00067993:0396
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 207r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067993&page=396
# Source image: https://digitale-sammlungen.gwlb.de/content/00067993/jpgs/default/00000396.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 44, 2026-08-27T14:25:39Z — 109 lines, status machine
# Lines: 109 recognised, mean confidence 0.72
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

Si Radu sit 1s et Poly goni pracedenti vins sit a, lacus lequet
Rg. 2 = 19 u 222 2) - 2a
Dividantur termin omnes per a.
p. 2252,- 242 47 -2
eq a1
447
Labris
eg2r = e41 = 2 Est Ratio soly gom
R4
quentis adsinus
praecedentis. Eisi
Calio  lin
xhahamus si fieri possit; Radicem ex Rq. 3-2.
Radices particudares 2 = R92. multiplicetur per A92.
a Ag2
autest  4 +
an
R4c 2 + = R9cc 2,. (25 = 24
eya a
Aa ce a
2. -
14522-24,
nsuaa ostat tame Calculs sibi
8 -, 5 - 1. , - 4
10 = 5 = 5
e7
10dat 8 quid 5. R 4.
-( 22215 - 243) = 19 -   - Aq 2
Erit ergo Ratio Radias Quadratae Polygoni sinus
Polygoni praecedentis ad vatus Polygoni sequentis:
R9 27 - R4 a7 - 2,
2. 2
22) 2 2) 1q 
(Fingamus ipsum 1resse 10 trit: Rq
. et a. esre 5.
6 145.
Rg. 2+ = R4, 2Y 2Y = 2a) Revocetur ad nemoros 1 r esto 10.
et a. esto 5. et productum debet esse paulo plus quam a seu 5.
R9 (00 -((R2, (200 7200 - 50() 150)39000) 173, 5711)) 27
Rquo 2 = R4c
200
Rga
2 2a
200 200 50 = A4
a elu)
euli
a
8-4 =1, = 5
10- 4
20 (000)
Nitul hic lucii ob multiplicationem per 27. faciendam. Prodit A4, 2- R4 2
Ideo A9242-2a) dividatur ante omnia
(721 - A4 C 2  29 -2a) divictumus per _ R92 spet AquY H
divedam cousper
R49 2.
4
ac 2du -2a a a
= Bq o 4
PE. 2+ Restabit 2- 24 Hoc scilicet fiet si totum
Rq 
(er (492d Rq.
te
pet: Rq a92  (A9) 24
(4 a (43)
- 13
7 - 4), In quo nilluiri Aq  (4 an
3. 247) pq . 2) - 2a3 = ea, N422- 19 23
= R4, 2 - 24 quae scilicet multiplicata per. A44 2) producunt Latus Tolygoni sequentis.
Namist orm dun p Ag. Nunc tempus est est di di per Aq a.
Habemus (Ba) C Ag2
AV a.
uet 22ctq2 - 4 3. 2, 8
(er (2. 2a = )aa a - 2. Fiet ergo qu  -Bq = = 2, (Quod si multiplicetu
a (, 22. a Cantires av) aeres et () a
44. (29. 29. p9 2 9 - Aq. 7 - 2. vel R4
1s
 Aa
Ra 1+ 0 eg
10
Jam R427 circiter est paulo plus quam R4. 5 seu quam 5. 8 - 4 - 4 Rq 20
Jam totum hoc R4, 200= etC. seu R4. 27. dividatur per R4a. 2 - 1
seu A45. et procedatur quasi a. esset incognitum, et
proinde non Arithmeticae puiae sed Algebrae methodo.
quc
2 et.
2
per R9q 2Y Rg a. seu A4123 Rqqa seu R9q ~ a 2 siet labs so lygoni
= 24a - 2
Ryc 1. + , - 1,,+ a F 
R9 16
120 0b0 1 1200
1n2 (34
o eosim
ar
1400
bt
Iq 2
prite
361q ut
istud 6 est ratio Rad. D. de 5. ad latus
h9 189
A45 ∞. 6
40,000 = 2, = A4 1600 -2,
R9 16
rig b4
A9 64 p 4 na
dodeagoni, multiplicetur A45.
14
R916