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# Catalogue record: 37703 — [Oldenburg ?] für [Leibniz]: <Kersey Algebra lib.1c.10. Collection of Qvestions> [L' eigh. Überschr.]
# Date: 1673-04-16
# Sender: Oldenburg — Addressee: Leibniz
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=37703&katnr=39644
# Work: https://leibnizlegible.com/work/00068195
# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 2
# Folios: Bl. 110–111 (from the shelfmark LH 35, 12, 2 Bl. 110-111): 4 pages, canvases 219–222, page ids 00068195:0219 to 00068195:0222
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068195&page=219
# Lines: 95 recognised on 2 of 4 pages, mean confidence 0.87
# 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.
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# 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 110r — 00068195:0219
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 111v); this page is its right half.
# Source image: https://digitale-sammlungen.gwlb.de/content/00068195/jpgs/default/00000219.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 59 lines, status machine
kerses Algecra lib. 1, c. 10.
colection of qvestions
d. The sum of the tuo Quanrities proposed is . . ..
2 Their difference, or the excess ofthe greater2
above the leso, is..
3 The Produit os their Multiplication is
A The Quorient os the greater divide d bythe less is
5 The Quorient of the lesser divided by the greater is
6 The Summ of their specares is.
yThe difference off their  Squares is
The sum ofthesumm aud difference ofthetrvo,
quantities siret proposed is
&The difference of thier sumn aud difference is
20 The product ofthe Multiplucation of de Semm
bythe difference is
da The square of the summ is.
12 Jhe square of the difference is
13 The summ of the squanes of the surmm andqe
difference is
14 The difference s.tvicen square of the sumnr,
and the square ot the difference it
13 The square of che produit ot  multiplication
of thc troo quantities is
Example 20i Sect IV
64 00006.
51 20000
20 48000
09600
327 6.8
51 Reot proposed
aaaaa
5aaaac
10 aaaee
10aa ce
5aecec
cecee
172) 1036800000 aaaea
15) 3664000000 5a aace
54 8800060010 aaa ce
9800000010aa 
8 75000, 5ac
3126 eeéee
180170876 (73125 sifth proves descred.
3260000
Insivers
by letters
by nombres
a te
l
aat rac
aa - 2ac
15
26
2441
ee
Potentia
Quint gradus
pcitata
a 280

## Folio 110v — 00068195:0220
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 111r); this page is its left half.
# No recognised text on this page (recognized).

## Folio 111r — 00068195:0221
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 110v); this page is its right half.
# Source image: https://digitale-sammlungen.gwlb.de/content/00068195/jpgs/default/00000221.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine
0
Radii sti gradus ex tracta
171) 10368) (28 Root.
3200000 aaaaa
201056∞) Resolvent
8 00000) 5aaaa
8000010 aaa
400010 a a
100 5a+
891 00 divisor
6400000 5aaaae
12000010 a a a ce
20 4800010 a a c ee
409600 5a eeee
52768 0 ecee
140(10368 Ablatioum
00000801
Cnample 15
The (abick Boot of 27 a - 54 + 171 a + 188a + 285 aa - 150 a + 125, Wile
be found 3aa- 2a +5, and the operation stands thus
et  6ube 27 a = 54 a + 171 a 108a +205aa - 150a + 125) (3 a a = 2 a +5. Root
Subtract 27 a
Remaindes = 5+ a + 171 a - 188 a + 205 aa -150 a + 125
divisor + 27a + 9a)
Subtract  542 + 36a  a + 20s e 1601 1175
Remainder
divisore s
+ 135at = 190 a +285 aa - 150a + 125
+ 27 at = 36a + 12 aa.
+a aa = ba
+225 aa  150a
Add thes
subtract
155a = 190a +60 aa
Ramainder a
+ 135 a = 180a + 285 aa = 150a 4125

## Folio 111v — 00068195:0222
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 110r); this page is its left half.
# No recognised text on this page (recognized).