# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/175905688X:0067
# Permalink to this reading: https://leibnizlegible.com/page/175905688X:0067?run=74
# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 45, page id 175905688X:0067
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=67
# Source image: https://digitale-sammlungen.gwlb.de/content/175905688X/jpgs/default/00000067.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 59 lines, status machine
# Lines: 59 recognised, mean confidence 0.79
# 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.

alee
tim
Cccantie
clet. dec
l
uactu
C
SC at
uan
aven
existente
uacen
Da 
qua la
luaS COn
exemDI
e luppo.
n
acnet
ccle
etLd
1do Cor
C qua
Y Y B E R S B C U N D U S.
Tueriex, quam quaerimus; auc quarum una fucura cst
M A, ee altera  A, si fuerit y, quae quaeritur. Verum
equidem est, quod, cum punctum F non ad candem
CurrX partem reperitur cum puncto C, una tantum
duarum harum radicum (IE ver2, d altera inversa seu
minor quam nihil: sed quo haec puncta C _ P sibi in-
ricem sunt propiora, co quoque differentia inter radi-
cestrasce erit minor, qua denique omnino inter le X-
quales fucurx sume, si bina haec puncta in unum pun-
ctum cadant; hoc est, si circulus, qui per C transit, Cur-
vam C E ibidem cangaC, nec omnino sCCCE.
Praecerea considerandum est, quod aequatio, in qua
duxe lune radices aequales, necellario eandem formam
habeat, ac si in se ipsam mulciplicetur quantitas, quam
velut incognitam supponimus, multata quantitate co-
onita sibi aequali: _ deinde haec ultima summa, (I NON
coc dimentiones habet, quot praecedens, tursuS per 2-
liam lummam mulciplicetur, coridem, quoc alteri de-
lune, dimentiones habencem, sic uc separarim aequario
inter singulos unius atque lingulos alterius terminos
haberi POTE.
E exempli causa, dico, primam aequationem lupra
invencam, nimirum: gy = qry = 90y +900 -955
 CaH.
dem formam habituram, quam illa, quae producitur,
Faciendo e aqualem y
atque mulciplicando
yeinsc, unde exturgit
yγ - 2 C y-  eC; IEa HE
separatim Cngulos ca-
rum cerminos inter le
rc: Qlad Postquam primus
cerminus, qui esty y, let cdesee aequatione plane idemm
elt
comparare possimus, ac