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# Title: LBr. 227 · Eckhard, A.
# Folio 75r, page id DE-611-HS-960119:0149
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 76v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-960119&page=149
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-960119/jpgs/default/00000149.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 103, 2026-09-09T22:40:03Z — 49 lines, status machine
# Lines: 49 recognised, mean confidence 0.87
# 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: the recognised lines in reading order, one per line.

quantitates non sunt ad se invicem ut x + ad- e
illa etiam non sant ad se invicem ut xd
2.
Latet itaque apropositum.
se
LBL MA 2I.
C
Ex
C
L
c
CC
ad Zy percoc
invenire Alum rectanoulum, cujus area sit numer
tus
Omnis numerus atus orctur vel ex multiplicatione ejusde
numeri, quae radi dicitur, per semetipsum, aut ex muc
fiplicatione duorum numerodum, inter quos radae est
3b 02
ex multilicatione vel sclaeradirir 6 persemelipsam
vel ex muttiplicatione 1 per 36, vel 2 per 18, vel 2
per 1E, vel 4 per 9, et si numeroi fractos adhibere
velis, ser infinitos alioi. Est enim uti 1 ad Cit
6 ad 20: ulti 2 ad 6, ita 6 ad 18, uti 3 ad b, ita
6 ad 12: uti 4 ad b, ita C ad 9, et sic de ceteris
Eroo si ipsam radicem exprima, pier U, et unum ex
tremorum proportionalium scer alterum vere
per au, ratio generalis, quae esse debet inter duos nu
mero, ex quorum multeplicatione pradua possit nu
merus tus, erit ut ladace, seu meultiplicando
utrinque per a et dividendo per u, ut 1 ad aa seuut
l ad qulemeung memerum Eetum. Itag eum unius
cujuser Ali rectanouli area aequalis sit producto ex
ten.sec unins lateris circa ractum anvulum in alte
riem latus, ut area sit memeru, ritus, nevesrees
ut uniem latus circa rectiem anoulum sit ad altet
uti 2 ad aa, vel etiam uti A adaa. H: 
ita investigatis sequitur ipsum primarium
s etd 9V
-N 2L CM
747
LLL-
envesficare aa in Alo rectanoulo latera sinul pos
Eint esse numeri rationales, et area Mumerus
atus
Ut latera omnia Ali rectanouli sint numeri ratio
pates necesse est ut unum latus circa rectum anoul
sit ad alterum ut f ad x - qu per probl. 1. Ut auter
area sit numerus stus, necesse est ut unumistoruem