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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 44, page id 898203430:0072
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=72
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 42 lines, status machine
# Lines: 42 recognised, mean confidence 0.87
# 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.

2Y. huius
VIICENTH VIVTAM PRO LOCIS.
P R O P OS
N Parabola. Semibasis trianouli cireumsoripii pe.
test rectanoulum sub axe trianculi in sermentum ejus.
dem inter sui verticem, C centrum Moduli ex late.
rali comprehensum.
Seementum autem huiusmodi, semirecto Parabolae aequa
te est.
Sco Parabola ABC, cuius axis BD, vertex B, de trianoulum et
cumseriptum quodcunque AF C, sIEque NL. MOduluS ex laterali
tangente F A extenta in DS ecc. prout in praecedenti explicatum fuit, et
Moduli centrum sE P. Dico primum quadeatum semiordinatx AD, quae
est semibalis circum seripei crianguli AF C, rectangulo DF. P aequale esse.
Nam quadracum rami P B ad quadeacum rami E A est vea reCtanOU-
lum NBL ad NDL, sed ancecedentia, hoc est quadratum iplius L B
b 20. huins (guae dimidium est FOrIUS F D, ob AF tangentem ParabOlaM) de rectan
ad num. 0. gulum N B L. sunc b xequalia, ergo d conleguenia, hoc est quadratum
L A, sive duo simul L D, D A
c20, huins aequalia crune rectangulo N D L,
ad num, 0. Sive rectansulo c P D F, vel ae qua
lia rectangulo P F. D cum quadea-
EO FD; ex his itaque communi abu
lato quadrato F. I, remanet qua
dracum D A eequale rectangulo sub
DF, F P.
Dico ampliiis seomentum R P in
ter verricem circumseripti triansu
li, _ centrum Moduli ex lacerali,
Temirecto Parabolae aequale ese.
Ouadratum enim D A aequatur rectangulo sub D B in rectuin latus,
Sed idem quadratum D A aequale nuper ostensum est rectangulo sub
dupla D B, hoc est sub D F in P P, ergo lub D P in rectum latS
aequale eric ei, quod sub DF. in F. P, Led est D B dimidium DF, ergo
e L. P est recti dimidium. Ouod crac demonstrandum.
1O
ZZTII
e
a
e
b
PA.