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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 156, page id 175905688X:0178
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=178
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# Lines: 53 recognised, mean confidence 0.85
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

256
F R A N CLS CF a SOHOOFE N
ex CC. Ouod idem dc alio modo inveniri porest, considerando
perpendicularem C D secare hinc inde circumterentiam in C
ee A. Ouia enim hinc per 35 Terrii Flementorum rectangulum
(iib BC, CF est aequale rectanoulosub AG, CC, hoc est, qua-
deatO Cx O C: AEuE Ei mulciplicaverO G F ∞ Z - y Per BC Dy
productum Z y - y y Sit denuo quadrato ex GC aequale. IIa-
bCTUT erBO AEquatio inter bb - y y e Zy - y y, hoc ett,
addendo utrobique py, inter bb _ Zy. Porro cum in hrac quae-
Stione eres suppolita lint incognica linexe x, y, _Z. Superest ut
duas adhuc alias Aquaciones inveniamus. Flinc, duetâ IF, quo-
niam, considerando lineam B D secare circumterentiam in L,
Similia sune eriangula BCD ee B F F, erit ut BG ad BD, hoc
CAt, Yad a- FX; ita B F ad B F, hoc cst, a 2d Z. AC proinde, CUIM
productum sub extremis sic aequale producto sub mediis, crit
Y∞aa F ax. Oux altera est Aquatio. In qua s in locum Z 7
tubrosetur ejus ralorance inrentus bb, habebitur bb ∞ a a F a x,
hoc elt, transterendo aa in alteram partem, atque deinde uero
aa
.Ouae quanticas estli
nex F D, quam inrestigare intendebamus. Caterum, quia in-
ventâ hâc linc a P. D ∞ x, veraque reliquarum incognitaruim BC,
_ BF, per y _Z delienatarum, quae ad eam inveniendam necel-
Pariae ridebantur, ad arbitrium sumi potest, cum in Probleimate
nulla amplius materia superlie, qua perreniatur ad Aquationes,
quibusutraque iplarum decerminari queac, atque idcirco disticu-
eas omnis Problematis jam sit erolura: indicio elt, rCCtaI F. D
eandem semper inreniri, etiam si ad illam quarendam pro utra-
que linearum BG, BF diverla magnicudo accipiatur, hoc est,
alius atque alius circulus adhibeatur: quandoquidem Problema,
Sidelincarum BC, B F longitudine ex datis B F, B C investigan-
da queeritur, haud decerminatum exiltie, sed CanEUM IPCIUS F D.
Oui plura in loci hujus illustrationem exempla desideret, vi-
deat quae ad liceram C secundi libri a nobis sunc allata.
Postea vero si plures adtuc supersint, ordine quoque uten-
dum erit unaquaque Aquationum reliquarum, sive illam const
derando separatim, sive ipsam comparando cum aliis, ad expli-
andam unamquam que ex incoenitis lineis.) Sic, quonium, se
dit
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duc
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