# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/898203430:0244
# Permalink to this reading: https://leibnizlegible.com/page/898203430:0244?run=74
# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 52, page id 898203430:0244
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=244
# Source image: https://digitale-sammlungen.gwlb.de/content/898203430/jpgs/default/00000244.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 38 lines, status machine
# Lines: 38 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.
# 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.

VINCENZIL VIVLANL DE LOIS NLIDIS
lL
+ L LO MII
Ocus, ad quem conveniunt paria linearum polna
tium simul quadrata aequalia quadralo onus ad.
tae linea, e cuns altero eodem termino pariam paries
sint emissa toapra oro siet anram normarit m
flectantur, est concauum Ellipsis, cujus semiaxis ma-
ior sit ipsa data linea, minor vero possit maioris sub.
duplum.
D Acebic hoc ex sui converto, sic proposico, ac demonstrato.
Esto data linea A B, cui ex termino A sit perpendicularis A C
pocens subduplum quadrati AB. e cum lemiaxibus AB, AC sic delcri.
PtuS FllipsS quadrans BD C ex centro vero A sic ad peripheriam ducta
qualibet AD, atque ex D perpendicularis DE. Dico par quadratorums
AD, DE, unico quadrato ducae AB aquale CAE.
Compleatur semiellipsIs BDCF.
Tams rectangulum F AB, vel qua-
dratum AB ad quadratum A C est
ve a rectangulum FF B ad quadra
cum ED; sed quadratum A B Xqua
Ic eAt duplo quadrati AC, ex hypo-
chesi, ergo de rectangulum F L. P
duplo quadrari P D aequale cA, 8
communi addico quadrato AP, erie
rectanculum LEB cum quadrato AL,
sine rnicum quadrarum AB, aequale
quadrato AF. cum duplo quadrari F. D, sule aequale quadrato AD ciim
DE, de sic de quibulcunque similibus linearum paribis _c. Ouod _c.
Hinc Locus, ad quem conveniune superiora linearum paria potentia _c.
es Concauum prOpOTu F.lipLIS. Ouod erat _C.
R O L L
aralorum bactos ce rnco latetut  aslalla. MdA CHC Id
Cuius banto llao  PM iplum laceris, quaisDL.
onstabit quoque inter criansula rectansula, quorum aegresata quau
PA.
21. prim
Goniei