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# Piece: https://leibnizlegible.com/api/records/13899/text
# Catalogue record: 13899 — [für Leibniz: Excerpt historischen Inhalts]
# Incipit: A 1105. Rex cum servorum Dei conventui
# Date: 1696
# Sender: ? — Addressee: Leibniz
# Akademie-Ausgabe: AA V (assigned, not yet published)
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=13899&katnr=39189
# Work: https://leibnizlegible.com/work/00068255
# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 B 5
# Folios: Bl. 74–75 (from the shelfmark LH 35, 3 B 5 Bl. 74-75 (= 39188)): 4 pages, canvases 147–150, page ids 00068255:0147 to 00068255:0150
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068255&page=147
# Lines: 197 recognised on 4 of 4 pages, mean confidence 0.75
# Catalogue: Leibniz-Katalog / Arbeitskatalog der Leibniz-Edition (https://leibniz-katalog.bbaw.de/), ed. Arbeitsstelle Potsdam I der Berlin-Brandenburgischen Akademie der Wissenschaften, CC BY 4.0.
# 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, page by page: a "## Folio <label> — <page id>" line ("## Canvas <n>" where no folio label is recorded), "# " lines naming its source image and model, then its recognised lines in reading order, one per line.

## Folio 74r — 00068255:0147
# Source image: https://digitale-sammlungen.gwlb.de/content/00068255/jpgs/default/00000147.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 14 lines, status machine
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wgrl vo gn ahuertsa duened henus
vhat sy yure guil a uh. 15 pravnare je
non yn urlys aons equua apuroee modes
u upans meg proyie un fahcun negny
eupmea aguilgo ut mount, gnanueo
regens sunpis popan ohen umegrnio
ay e moga ungogeoenan s selos
 ueno aus aurbus Hose issrerget epurant
2ti

## Folio 74v — 00068255:0148
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 75r); this page is its left half.
# Source image: https://digitale-sammlungen.gwlb.de/content/00068255/jpgs/default/00000148.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 93 lines, status machine
123 12312)
st12. 512 vy + Z + 123. 525Zy + 113. 513V, + 100p 500F = U= mm
1 1()
(0)
+ 0
2.16) 5. 0. 1. 2() + 8. 4(5)
4 5 2 4(6) 1 2. 1. 24)
2
6(5
44
112. 512  11213. S12B3VB. u g 13. 5_3 BVZ + 123523, 1n13. si2 3 qu L 12313, 5231322 + l 6. g. lst
11223, 51223
11223.51223
5 = 112. 512.51223, 12713. 52313 VZ
=+ 112. 512. 51223, 11213. 51213VV ~ (123,523, 52712. 12313. 5231372
=112. 512. 11223 11213 .= 123.523. 19 12313
5+ 112. 523, I12. 112(3, 123B
2+122. 512. 12312. 12313. 1n13.
+ 13. 513. 1123, 51213
 ins nthe
+12S
SI2
4 5 4
= 112. 512. 14223,  123 i p 133. 513. l E. 12 13
117 +61) ebratBto =
incae
-123. s23. 53312. 1213. 51213 1g 1 2
4 1 ) + 12. 513, 11213. 11213, 12315. (4)
4u2. se (+u2. 513 (12. SIIU2SIZ
123. st- 113. 512 (1231512 113. 512
aub lum atb, um
F B. 512. 12312. 1233. (p139(
3
= 113. 513. 11223. 51223 v0
+
seu (a - b) (L- m) = (a+ b) (1+ m) = (aD, am - b I+ bm a am = bl= b m = 2am - 2bl = 2112. 523. 117. 512
2,123,512. 112.513
12313 =423. 513 + 13. 527
in coefficiente ipsiis vV est y2. S12. 112B, (51223. 5MI3 - 11227. 11213)
et Coefficiens ipsius vo fit - 2. 112. 512, 112+3 (12. 512. 523.13 = - 2. 112, 512. 11213, 12313
eris = - 2. 13,523. 11213. 12313 92313 = +113, 513 =113,. 523
23. 313
et pari jure coefficiens ipsius Z
pro coefficientte ipsigus vZ. In primas erit 51223, . SCs. HE  SIIS
in eodem coeff. ipsiue DZ in 2da 5 erit 1(2)+ 12(5IZM B3 _ 11223. 11213 12313]
jam 11213, 12713
seu nEc AC IV3 quibus accedit.
1 1425
seu 113 3 (2 I 113. 525 L 11
+112. 123, 113. 513) a
+123. 5121
132 (423. 122.512
125. SIE D
F123523, 11. 1351253)
123. 112. 512 113 112. 123. 512. 5235113.513
123. 513 + 113. 523 325.7B3+ 313. 7231 45
+(23. 513 + 113. 52+323. 713 +3137745
15
aequ.
et fit (35
Ex 2 et 4 adi . 513. 113 (=), (40 - 28) 315. 713 + (40 + 20) 713. 313
10) 35 151
Ex aequ. se sit 7.7 -+ (4 - 20) 12. 723, : +(30 + 10) 113. 312
(4428 )u2. 32h. 715 + (48 28) 112. 723. 30
 leetd Subtuhendo fit 2. 12. 513 = (30 + 10) scr ns 4( 30 - 10) 712 313 5 (304 18) 123. 312. 713 +(30-10) 123. 71. 315
+ (40 + 20 ) 512. 723(+ 20 - ) 5iz. 312
(25, + 10) 323. 71277 - (90 - 26) s12. 323
B5- 13) 123. 12 (20 + 20) 12 323
ae
Ex 1 et 3 addendo fil 2. 512. 113 = bB + (3 - 1) 312. 713 + (20 + 18). 712. 313 et fit (30 - 10) 523. 312, 713 + (38. +. 3.). 314, p. 313
15
2a 4 subtralendo fit 2. 13. Siz  (40 + 20 1329 12 + (40 - 20) 7. 3. 313
Ex 0g.7. fit 713
313
Addatur - 112. SertEsu = ---
Ergo taudem omnibus duplicatis, fit 2, 112. 123. 513. 513 + 112. 522
Ex 1 - 12. 513 + 512. 113. =- 312. 713. + 712. 313 (16)
Ex3. +112. 5134 Gr2. 113 = +31. 713+ 712. 73,35
45
s2
112.523  un3. 31225 +12I3. 12515 = 11223. 11213, 12313
123. 512
11 s23 +512. 523. 113 quod in ar23, ( 112. 125. 523 5137 +112  3B. S13 = 11223. 1142, 12313
C1 123. Se NL. 15.5
 315S
et 13. 513
12. 523 da
113. 512 l
5
= 11223. 51223 (l- mm)
2 117. S12. 51123, 11213. 51213B P∞ 123. 513. 51g 2. 12919. 523 137 32 - Bp. Sp2 s1723. 12315 523B3BZ = 1213. 5123 I. m mi
+ M SeZ
1

## Folio 75r — 00068255:0149
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 74v); this page is its right half.
# Source image: https://digitale-sammlungen.gwlb.de/content/00068255/jpgs/default/00000149.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 76 lines, status machine
6 (r 13: 52)
+.  +ug. opd 4
3
17122
51213 = 7ut3. 11223(112HI2): 3123(312E71E) Asdendo cot2. B2 H2. S13 = X2C3. P2 29(.1tSII) 433. 3M23. M (W)
ex aeq. 3 11213 = 31213. 51223 (312181): 71223 (12+ 512)
(F cbhh )- 64 ht  495
JAC 12. Se IS 1212. 513 2I. 513
8- 16h 8 x 4 th = 1b si
125. 112. 5123. +2. 12. 123. 312523)
525. 112. 512
AILZ N2 N S1) Lu2 SLSRE. I
+123. 327 112. . . (- 123, 523 512) 1.
(2;2) 5 12 3i3 71+ (4 +28 ) (, 2. 313
16) 4 2l
Ex aq. 1.
sI
 ibh
113.513. 11223.51225 17 51223
sata
BE . 312 rL. 5at (113. S13 = 113. 513. 11223. 51223) 612 12. 518 113
Et
y = Siul Y + 517231Z, : 512231
Y127. 527,11213. 5143 =4112.515-1132512, 123. 529 51213
8
F15. SuB .  BoP = -1. 11 2BV + 13 12313Z,: su 23
13
812233 (12151)(3121712)
Sir23h = b99.  ahiL): + 2, 59+ 4sih, ers - + b 8 - +bk+
-16 4 + 2bh  4 = b,
dchq
80--
Gepra Dugs, q atisi 
4. 12k 123 ctc. = b 4  atih. 49t3 Y
= 1225. 12. 13 et = b 4bh. 99 4 bb, 8 + hh . 59
169
488
aequ. (( ath. 9e 16 l 59 + 16ht- 8tit 99 + 9
649, G  et fan2. 123 et c - 11225. 12. 123et=
b. t. t, aterq
 = 112. 123. 512. 523 f. h - nterse Aht.  - bb th. 89
C29h
huic adde - 2. 1. 127 etc. = +. bb oth. G8. siet bb ahh. p ahh 98 +L
444
Senfiol bb. Atih  95 ( Xtx 9 (2) (+h - 8)
Curs 848gh
hoc dividatur per 112 43 seu per b 4 th - 9 113. 129, fit
gq
pro SI3 ponatur numentor hujus aequaribnis, pro 113 ponatur denominator, in
29h
equatione 11223. 112. 133. 512.523 115 es  4 11223. 113. 123.513 + 4. 112 123, 512.523. 112. 123. 113. 513L0
fiet b ath. g 88, - bb, oth. 15, 48 vE 125 seu = (d at.  12. 123
4499h
459
198h
b ah - 99, bb 2h.9 , 112. 125. Seu +b. ath - 99, 2h. 3 1122 125
449h
499h
-4 bb th - 59 29, -bH . 9, 12. 15 seu +bb. h ath. 59, it 8 115. 122
494
499A
et divisis omnibus per b, 4nh - 88 ( 1 123 ( et = 4 hh - 99 + 2h - 9 + 8h8 2h -9 - c
et divisis omnibus per 2h- fiet C- 2h +5 + 2h - 9 + 8h8 = 0
498
seu fiet: - +htr - 4 h9_- 84 + 4tih - + h8 + 4 + 8hg = 0 quod est verum
5
5
2
EV A lis 23
4 2122. 5∞ 4 3. 2. 5
est 1E.
.6. ul
t = 31E. nas D - 52312313Z5; 51223
177
2b, )2ha5 s13
2 28. 112. 123 113

## Folio 75v — 00068255:0150
# Source image: https://digitale-sammlungen.gwlb.de/content/00068255/jpgs/default/00000150.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 14 lines, status machine
Rex cum servorum dei conventui nonnis.
vocatus interesse velletse tngenr enim cum Efri-
Scopis et elericis, abbtatum etiam et Mo
nachorim Ecclesice finitatem sitiens turba
confluxerat; tandem in abjerto praduntur
halitu, panigue in edition loro juxta pria-
cipum decreta comnibus suac leger et jura
innovavit, si qua vero irrationaliliter roga
batus, prudenti responso et avita magannimi-
tate consutrit. Interca obortis lacrymi
Deum testabat, non nulla se cupiditate
regnum ifvasisse nec patrem ee duu summ
daponi set imperio exoptare, ommo perti-
naciae et inobedientiae