# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068194:0611
# Permalink to this reading: https://leibnizlegible.com/page/00068194:0611?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 1
# Folio 306r, page id 00068194:0611
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068194&page=611
# Source image: https://digitale-sammlungen.gwlb.de/content/00068194/jpgs/default/00000611.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 56 lines, status machine
# Lines: 56 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.
# 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.

10)d
Utilissimum erit pro Geodaesia invenire Tabulas facile construere
quarum ope facile ex datis Trianguli latiribus fint area
Regula autem haec est, sint Trianguli latera: a. b. c
fiet area
(tatb-c a - b +C, -a +btC, +a +btc
seu fiet area Vabec, +a btc, - ab +c, + a +b +C
quoniam vero paulo difficilius est progressiones invenire in irratio
nalibus ideo salius erit invenire quantitatem ex qua radix extia
a +b+C +a -b+c +a+b-c +atb+c factum
Nota exhactabula
ii numeri tantum
sunt utiles, in
quibus duo simul
tertio 
et son prodit.
1. b. c
ebr.
a+ b Ac +f
bc
Ad differentias habendas, d. e. f. sumendi tres
quilibet numeri quorum duo quilibet simul faciunt
a+csb+ C
b+C 1 a + d
Ergo a p c + f - b
parem. id est. jungantur inter se tres quilibet
numeri pares omissa et duo quilibet pares cum
uno impare. Omi id est omnes numerorum Bnationes
omissis illis in quibus duo impares. vel brevius, sumantur
1+b + e - c
2c + fp2b + C.
et b -cH e - f
seu bp e- f +c
oagnes numerorum parium cobinationes, et cum lhisammdri ap b+c- d. Emo 2bd 1
ilii comnes ordine cojungantur ut 22, a . 3. 4.
4. 4. 
factum ex 3bu semper duratuli eorum
summum. Nota factum seu per dividi
poterit per 4d itaque comprudiosius
b 123
423
anemus hoc modo: omnes ordine nuner
inter se combinentur (sumtoscili en dimitio par cobinationu
parium cobinandorum quia postea factus dividind, per 4) seu
tres quilibet numeri in se invicem ducantur productum duca–
Nc +f - b
erum quia tandem quatuvi, facta per
tur in summa
tres quos libet muneros eorumm
et bp d+f
ari e+ f
sunt, ideo sufficit sumi
factum sum duci in sumuram summa duorum quorumlibet
dabit Rlera chianguli dat iujus haec est area.
b n d+5
cM d+e