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# Title: Teutsche Algebra/ Oder Algebraische Rechenkunst/ zusamt ihrem Gebrauch (shelfmarks Leibn. Marg. 88, Stück 1; Leibn. Marg. 88)
# Folio 121, page id 827658990:0131
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=827658990&page=131
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 52 lines, status machine
# Lines: 52 recognised, mean confidence 0.73
# 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.

Dechmatso.
M.MII X nact erforderungue der Zufgab eine ganze
36, 3
38 + bL
3ou
35, 40
4i X 126
42 + 2b2
43, F.F
Auo
tet
andimlsche quantitet.
20 aa
alsa
BDe
30, Vaa t r4ab t bb:einer guadratischen quantitet Dessen
31, Va t 14ab F bb = a + b. 12 (wurzel mehrDam a. t B
32) ad t Tqab. F bb == a2 t bb t 22 f 262. 1. 2a2. t 2 ab
33 22ab = 22 t 2b2 F 2a2
34 12ab 242 = 22 t 2b2
42
12 L 202
T26- 22
Pdd- bb
o
2a bb0
aa  bb
Theorema.
Bebrauch dises Theoremaris.
a = b. Estus alio a grosser seyn alb b
22  2b2
126-- 27
27 +- 262 = T2bb- 2bZ
27. + 402 = T2bb
+4, 22  402. 1 4bb = 16bb
1) 2. +. 2b = 4b
Z
=2b. EuB also 2 grosser sennalB 2b
Uber a Fan grosser seynalB Z, und Z grosser alB a, li
exbenden Frempetu.
 8
3
Deveis in 3ablen.
3
20X4
58 sene
1
43
D)2
abl seun sol so ist nacfolgiq
Ies
i