# Leibniz Legible — https://leibnizlegible.com
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# Title: [Traite Du Triangle Arithmetique, Avec Quelques Autres Petits Traitez Sur La mesme Matiere] Traité Dv Triangle Arithmetiqve, Avec Qvelqves Avtres Petits Traitez Svr La mesme Matiere (shelfmark Nm-A 605)
# Folio 47, page id 1023099829:0097
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1023099829&page=97
# Source image: https://digitale-sammlungen.gwlb.de/content/1023099829/jpgs/default/00000097.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 44 lines, status machine
# Lines: 44 recognised, mean confidence 0.92
# 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.

pono rlrimum characterem semel
praecedencem bis, subiacet enim 2 sub 23
Prxcedens per o mulciplicatus Facie zer0
_ Sic de reliquis; quare ad iplos non accendiro; et (i summa priorum,
nempe 22, per 4 dividarur, dimiderur _ ipse, secus autem, nOn.
Ic numeri quorum vlcimus character lemel, praecedens bis, prae-
Ocedens quarer, (relignis neglectis, zero enim sorriuneur) limul
juncti numerum efficiunt mulciplicem 8, sunc iph _ ciuldem 8 mulri-
plices, lecus autem, nOn.
In exemplum aurem dabimus ee illud.
Cnolcere qui numeri dividantur per 16. Scripris vedictum est nu-
LAmeris naturalibus 13 2, 3, 4, 5, 6, 7, dc. _, 1, Sub, 1, PosIcO.
4 3
2
0 0 0 8 4 10 1
Ex 10, auFer 16 quancum pocest; superest ip(e 10, Fx minore enim
numero major numerus subtrahi non potest, quare ipsemet numerus
10 ponatur (ub 2.
Ex ipso r0 decies sumpro, ve mos cAt, Peu ex 100, au ferO 16 quan-
cum porest, superest 4 quem pono (ub 3.
Ex 40, autero 16 quancum porest, reliquum 8 pono sub 4.
FX 80 aHFCrO 16 quantum porest, Superest, 0.
Tdeo omnis numerus cujus vlrimus character Cemel Cumpeus, penul-
rimus decies, praecedens quarer, e praecedens octies, efficiune nume-
rum mulciplicem 16, crie d ipse iplins 16 mulciplex.
Sic reperies omnes numeros, quorum penuleimus character ae
cies, reliqui aurem omnes scilicet rltimus, anre penulrimus, prxeance
Denulcimus, de reliqui semel sumpri, etticiune numerum divisibilem
Per 45, vel 18, vel 15, vel 30, vel 90, e ruo rerbo omnes dinilores
numeri 90, duobus constances characteribus, dividi quoque e iplos
pet hos divilores.
TOn difficilis inde ad alia progressus. Ced incentaram huc vique
Lemaceriam aperuisse, ex saris obscuram lucidissima demonstrario-
ne illustranisse, (ufficir. Res exenim illa, qua ex additione characterum
MMMeri, HOLCIEHE peF qUOS SIE divi(IbilIS, CX IIIE NUMCFOTUM HATUTA, ee
ex eorum denaria progrectione rim luam Corrirur, E enim aliz progres-
sione procederene, verbi grariâ, duodenaria (quod Cane grarum Forer;
e lic vlera primas nonem Aguras, alia duae insticura eflene, quarum al-
cera denarium, alcera rudenarium exhriberer; Tunc non ampliiis con-
eingerer, numeros quorum omnes characteres simul Cumpei eAiciune
numerum mulciplicem g esse ex iplos ejusdem o mulciplices.
Sed uechodus nostra, em ee demonstrario, et huicprogressio.
 et omibus Poo bo
At YELLLQTCFBYS.