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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 98, page id 898203430:0126
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=126
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 32 lines, status machine
# Lines: 32 recognised, mean confidence 0.86
# 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.
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# After the first blank line: the recognised lines in reading order, one per line.

VINCENLIL VIVLNT DE LOC
tem verricis seca O aguis seecto, qua in prima figura incidet
in Parabolx verricem B, in secunda intra, in TertA VerO extrA Sectio.
nem cadet (ex FIyporhesi): in omnibus vero per L Cic ordinata F O
super quam ex P lumantur verinque PF, PO, viraque POtenS rectangu
lun sub OT, TD Segmentis axis trianguli circumscripei, (quas LF, I9.
in prima, de sccunda figura, aequales esse minimo ramo ducibili ex O ad
Parabolam inferius demonstrabitur) a CenrO L, cum Cemiaxibus Tran(.
verHS TF, IO descripea concipiantur Sectiones oppositxe aequilaterae L. I.
OV. Dico has in punctis cancium A, C. Parabolam continsere, iplit
rumque convexa esse Limites propoluos.
08
S SOLIDIS
cuius avis DO; ab orisine aurem O sumatur super aem O D ad par-
Top. 1.hu
OD, SecA CADD n mpet ostendimus, ergo OL eo minoc
exit ipsa OD, led OB Posica est minor OL, ergo punctum L in hac ter-
tia fioura necessario cadie inter B Parabolx verricem, de D verricem erian.
suli circumleripei; in prima vero, ve monicum fuie, cadic in ipsum B.
de in secunda intra B, ita ve in singulis ordinata ex Y secet omnino lae
rales
Schor.
Tam. Prito, ea S, quuI semiordinata O A infr2 Focum L
Sie minor 2 quam dupla segmenti axis OB, et axis OD duplus sic ciul
dem OB, ob tangente e  iaOD, sed quadra
1S
B 1C. BA
Conit.
tum AO aequatur b rectansulo lub OB in rectum latus, hempe in du
plam OL, BC eA rectangulo lub dupla B, hec en sub OD in iplam
OIC quod pari modo ostenditur in reliquis feuris) ergo AO media
proporrionalis eA inter OD, OI; ideoque IO ad O A es vi O A ad