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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 337, page id 175905688X:0359
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=359
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# Lines: 48 recognised, mean confidence 0.82
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GOMMENTAEEt EN LcoRanHII.
337
Brericatis autem caus a rursus pro L b3  L 2 a ay F a ab lcriba
EUE-L C3, _ -- e3 prO - - b3 = 2 a ay - a a b. Deinde, mulcipli-
Cata ueraque aequalitatis parte per 2 a, seu (quod idem est), divilo
ntriulque denominatore per 2 an hac mulciplicario per crucem
ut tractiones eranescane, tietque cZ3 ( b73 = b0
bbZ Z
+. bb62  b3Z. 4a6Z a A bZ  6C3 = b e3 ∞ C3Z u b63
bc6Z  bbc6 bb6Z  b36t AA6Z  abc.  Ze3
Bc3. Poltea auferantur utrinque ae quales quancitates, de restitua-
cur ralor quanticatis a sumpex e3, _ FE 523- f bZ3 -- bCZZ
bbZZ f b3Z   A AbZ = b3C- 2 A ACy A abCD C3Z bC3
bc6Z bbC6- b3C   4bC -F b3Z- 2 a ayZ-  aabZ0
Denique deleris rursus uerobique aequalibus, de rerocatis quan-
ciratibus in y ductis ad unam partem aequationis, reliquis vero ad
alteram, insticuatur dirilio per Z L c, dE OriCEUF 2 A aY ∞CZZ
6CZ - = bZZ = 2b0Z + bc6 -- bbZ + bbc.
Verum cum ee supra invencum tuerie cd d = c0d L b d d +
2bcd F bbd F bbc. F bcc ∞2a a p. e, quae eidem lunt xequalia, ca
quoque inter se line aequalia, exitcZ
Z - 6C
-+ b7Z
2bcZ +
b00 -- bbZ + bbc ∞ c d d - Lccd F b d d + 2 bc d + bb d + bbc
f b56. Deleantur jam verinque aequalia, de quantitates in ZZ du-
eta unam partem aequationis constituant, reliquae vero alteram,
Fetque 6Z7 ∞ L c0Z. Y cdd. Deinde diridatur utrobique
L
 2bc + c6d
L bb L bdd
per c) b, ut Oriaeur
ad unam partem:
L 2bcd
 bb d
D. f bZ. F d d, Cive cranclaris omnibus
+6  ba
Lcd
=bZ - d d ∞0.
6  bd
c
Postquam igicur percurrimus data propolicionis, eaque sc
enodarimus, ut difticultas omnis sic translata ad aequationem
d d
22 -, 2. = b d ∞0, luperestur ostendamus eam quae sito pro-
165
policionis lacistacere, quantum quidem ex suppolitis datis de-
ducd