# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/898203430:0257
# Permalink to this reading: https://leibnizlegible.com/page/898203430:0257?run=74
# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 65, page id 898203430:0257
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=257
# Source image: https://digitale-sammlungen.gwlb.de/content/898203430/jpgs/default/00000257.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 40 lines, status machine
# Lines: 40 recognised, mean confidence 0.89
# 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.

VARIARI DISPOSITIONVM LIMMI. LIBEK III.
BF D in Ellip(IS quadrante A BC erit a maximum. _ sumpris omniu 2 A2. huius.
duplis, crianoulum E BC eric corundem duplorum maximum, Led horum
omnium hruic Ellips inscripcibilium aoorcgata quadracorum lacerum lune
aequalia b ee criansulum P. BC ponitur aequilaterum, erso aequicrurium b Corollar.
eriargulorum, quorum ageresata quadratorum lacerum sime xequalia i.- 22. huius.
rimum est aequilaterum. Guod Ctat etc.
ldeE ai
otolibu odseino cobnccattus C Guorum summa qua
Oeus, ad quen perheniant derlibes ianemotum
dratorum laterum sint quantitates minimae, vt in expo-
sitione explicabitut. est LoC Panas, nimirum Deri-
pherta semicireun saper dimidium datae descripti.
Onctabic hoc ex lui converto ita proposico, dc demonstrato.
Sit A B data linea lecta bitariam in C, d luper alteram PArEIUML.
videlicet AC, sie semicirculus AD C, ex cermino vero A occursu datx
AB cum parte AC ducta sic quae cunque recta A I F. acurum angulum.
quemlibet cum data AB consticuens, dc secans peripheriam AD) C; in D.
Dico, E iunsatur BD, quadraca simul rectarum A D, D B minimam quan.
tItaLCM CHFICerO: HOC CAt, SI in eadem sCCANEC ADF, licet quantumuis produ
cta, lumatur quodcunque punctum E, par quadeatoru AD, D B minus
esse quadratorum pari AF, F. B.
Super data AB Aat Cemicir-
cutus AFB ductam AD sCCAHS
in F, iunsantur que BF, CD.
FrUnE er BO anguli ADC, AFB
in semicirculis recti: Quare Id
C. FB incerse xequidistane, ac
PTOPterCA quum (IE AC aequa
sis CB, _ AD ipADF equa
Sis exit: quare SI TUPE pUN
cum P sic in ipla AF; quum
SIE A F secta Bitaria in D,
exiE rECtanGuIum ADF maius AEF (quum sic maximum) de duplum duplo
maius, hoc est duo rectangula AD F maiora duebIS A FF, sed tam duo
ADF cum quadratis AD, DB, quam duo AF F cum quadratis AF,
EB eidem quadeato AB sunc aequalia (. quum sinc anguli AD B, A F F.
obrusi, _e BF perpendicularis ad A D F: ) eroo duo rectangula AD F.
cum quadratis AD, DB aequancur duobus rectansulis A F: F. cum qua-
deatis AE, E B, sed duo rectangula ADF maiora tunc duobuS AFF,