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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 48, page id 898203430:0076
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=76
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 46 lines, status machine
# Lines: 46 recognised, mean confidence 0.90
# 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.

VICENTII VIVTANI ERO LOCISS
P R O POSITIO ZXVI
N quacunque Coni-sectione. Scementum diametri a
vertice sumptum, quod semirecto sectionis laterisit a
quale, poresi rectaneulum sub semiordinata ex diametri
sermento in semiverticalem tancentem, osque ad latera
lem, ductam ex termino semiordinatae. Oportet autem
in Ellipsi prolata, quod ipsius semirectum latus minus
sit suo trantuerso.
Sco ABC Coni- sectio ParabOIR, VE I PrImL HSIId; vel HIS Per BOla
A re in sccunda; vel Fllipsis OblOnex ve in certia; vel PrOlaX ve in
QuarEa (quae tamen TaliS SIE VE ipSIUS FranSuerSu lacuS aiuS sIC LuO LemI-
recto) quarum diamecer cransiers2 sit BD, CEMTUIM F, vertex B, sit
que in omnibus segmenum B F aquale lemirecto lateri sux Sectionis,
ac per P sic lemiordinata F A, e
verricalis cangens BII, lacerali
tangenci A C occurrens in II.
Dico quadratum B F rectanoulo
sub AF, AB aequale esse.
PrOduCAUY A EI diaMetTOOC-
currens in C7.
rr. primi Tam, in Parabola, quadeatun
LOn.
AF aequale est a rectangulo sub
F B in rectum lauS, siure in du-
plum ip(IuS F B, ergo quadra-
cum AF duplum est quadiari FB,
b33. primi scd linea A F dupla eAFTB, cum
Lonic.
FC quoque sic dupla b C B, Ob
tangen e A C, ergo guidea
tm A L ad FB cArelinca A F ad
ad HIB: Quapropeer rectanguum
sub excremis AF, I B aequaUF
Guadraio mediae BF.
In religuis vero Sectionibus,
12. 25. pri- Quadraum AF ad rectangulum
i Conic. D F B est ve c semirectum BF (ex
construct. onc) ad lemitransuersum
BE,  rectanguium DF B ad quadratum BF est ve linea DF ad PB, erBD
ex aequili in ratione percurbata, quadratum A F ad F B est ve linea D F ad
25 huius BE, vel ad D E, sed DE ad DF est ve d F C ad C, B, ergo quadratum
AF ad FB est ve linea F C ad CB, vel ve linea AF ad HIB: rectangu
lum ergo sub AF, H B aequaux quadrato sesmenti B S Lemirecto aequalis.
uod erat, dico
PRO.