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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 178, page id 175905688X:0200
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=200
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# Lines: 68 recognised, mean confidence 0.78
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# After the first blank line: the recognised lines in reading order, one per line.

B
2718
ER A N, CTSCTTA SCHOOFEH
y -L b - bX ad C G; esit C C ∞ ab = b a = ay
Y a a = bB. E quibus per-
Spicuum fic, ditterentiam ominem, qua in reterendis currae pun-
etis C, tum ad puncta rectae AB, tum ad puncta rectae DF, obti-
neri potest, in eo cantum consictere, quod, cum A B indetermi-
nata relinquitur, C. B exprimatur pery; sed CO pe
e DO per
Aa a X - bq
ab. +- bx + ay
V aa F bb
Y aa F BB. TE2 uE Cy speciem induat, quae ei ex
proprietate currae convenit; constabit simul relatio, quam cur-
rae puncta Cobtinebune ad puncta utriusque rectx AB, D F. Id
quod eodem modo in omni alia datarum linearum positione
ostendi posset, nisi breriores esse rellemus.
Saltem si supponamus quantitatem eZ majorem quam c 8.
nam si minor foret, mutanda essent omnia siena + s .
Fxictente enim e Z minore quam c8, de mulciplicando utrobique
Per Z Torete Z minor quam c8Z. Quo casu omnes quoquenu-
meratoris termini, qui signo-L adticiuntur minores erunt illis, qui
siono = adficiuntur; adco uc tantum mutanda lint omnia sIgna.
Aquationem aurem hoc facto illaelam manere, ita octendieur.
EAto y ∞ Se de (susticic enim id per facile aliquod exemplum
Octendere), Suppolitaque dminori quam e, mutentur omnia (i8.
na F X =: EICEquC Y ∞ = Se + a k
d + e
Ouoniam enim ex hypochesi y ∞ 
erie mulciplicando
uerinque per d - e, dy - ey ∞ fe - dk. Uinde Facta tran (pol
tione, ut torum aequetur nihilo, erit d y - ey - fe. L d R ∞O.
Transterantur rursus. + dy-ex in alteram requationiS Partem,
_ hiet - fe. + d k ∞ = dy F ey. Oux aequatio a praecedentinon
differt, nisi quod termini omnes contrariis signis sine adfecti.
Ouare liutraque ae qualitatis pars diridatur per = d F e, prodibit
p∞
L e R
=a  C. UEerat PFOPOTICUM:
Unde colligerelicer: Si quantitates quaedam signis 
djuncta aequentur aliis quibusdam quancicatibus
etiam signis Y e- junctis: erunt quoque exdem con-
crariis signis affectae inter se aequales.
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