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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 401, page id 175906937X:0425
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=425
# Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000425.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 52 lines, status machine
# Lines: 52 recognised, mean confidence 0.88
# 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.

im summa
TuI AB,
X- 2B 2
Nrum PH,
RHF in
ni abscin-
tem reGI.
allela AR
15 lacirudi.
=. CX F A8
Ocutatum
Mo lac
7 huiju
Geo.
DE M O HSER ATTONTBUS.
40
Ceometriae indicatur, quarum quidem majordum lineam exhibet
qualica FImanifeste majorem, idcircomerito hic eritneslisenda.
Duoniam autemm ex P, F, C, de D interrallis FIvel ER, FL
vel FM, C,H vel CO, ec DP rel DO descripeis circulis recta
AL vel AK, L. B vel BMI, NC rel CO, _ PFIreIEIOTan-
ences unt complemeneorum semictium datorum angulorum A,
B, C., _ D; HeE uE, Si e pro radio sumatur, ip (X f, 5, B, di di-
etastangentes delignent. Quod cum eodem modo de omnibus
aliis liguris rectilineis incellisendum sic, d quibus hujulmodi por-
tiorelecari debet: haud difticulter poterimus, (i anculos A, B, C
similesque VOCemUS exTerMOS, ac angulum D internum, ut _
eos omnes, qui hujulce generis exiltunt, aeque praeter equatio-
nis consticutionem spectemus inluper, quaenam ad illam resol-
vendam lire ad quaelicam lacitudinem ex ea obtinendam sint Fa-
cienda, regulam inde generalem formare, quae sic se habet.
Addiris figura laceribus, mulciplicetur summa per
radium 100000, productumque diridatur per sum-
mamtansentium, angulorum qui semistium datorum
lunt complementa, cum videlicet dati anguli omnes
lunt externi, auc per carundem differentiam, quum
externi ac interni exictune, e tic primum inventum.
Deinde mulciplicata area portionis abscindenda
per radium 100000, diridatur productum per pex-
dictam summam vel differentia LangCnEIUMI, eE AE
sccundum inventum. Duo subducto a quadrato semil-
sis primi inventi, hreliquiradix ab eodem semisse au-
Feratur, relinquetur laticudo qualica.
Invenca isitur per Algebram via, qua Problema propolitum
Tolvendum lic, iplius veritas ex sequentis calculi applicatione,
qua ab ea pariim est aliena, manifesta fiet; si modo ibidem
conliderarerimus, completo parallelograIMO AR S F, produ-
Etisque AL, R T donec coeant in Z, rectam S T, duplum CuPFa
dictae summxe vel difterentia tansentium reterre, atque demiltis
perpendicularibus R V d Z Y rectam SI ad RV, ob Cimilitu-
dinem criansulorum ST R de AR X, eam habere rationetm,
quam AR habet ad XY.