# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/898203430:0243
# Permalink to this reading: https://leibnizlegible.com/page/898203430:0243?run=74
# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 51, page id 898203430:0243
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=243
# Source image: https://digitale-sammlungen.gwlb.de/content/898203430/jpgs/default/00000243.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 37 lines, status machine
# Lines: 37 recognised, mean confidence 0.91
# 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.

VARLAR: DISPOSTTIONVM LWT. LIBEK III.
que homolosis lateribus opposti C AB, C D F aequales crunt; sed iidem
inlun quoque in triangulis CAF, CDO, in quibus, de anguli AC F,
DCC Tunc aequales ( quum constent ex aequalibus positis AC D, FCC,
ee ex communi dempio, vel addico D C F) erco ee religuus reliquo
aequalis exit, adeoque criangula ACF, D CO sunt aequiangula, ac prO.
Pterea AC ad C F, est ve DC ad CC, de permutando AC ad CD,
VE F C ad C C, anguli vero ab ipsis compraehensi lune aequales ex COn
Aructione, ergo triangulum A CD, adeoque ee trianculum BCF, Cumi
le eric eriangulo P C C; sed huius vertex C est in recta D P iungente
vertices D, F, datorum triansulorum A C D, BC F: quare Patet _C.
Hinc Locus vercicum propoliorum criangulorum, es recta qualem dixi-
muS. Ouod etat _C.
PR01OSIILCa.
Ocus, ad quem conveniunt simul quotounque linea-
rum paria AC. D, AF F, datae lineae terminatae AB
aequalia, quorum partes AC, AF ex eodem termino
A datae AB sint emissa, reliquae verd C. D, PF, super
eandem lineam AB normaliter inflectantur; est conca-
num Parabola CC. P B, cuius focus sit A orieo emis
sarum, semiordinata vero per focum sit ipsa data AB,
quae sit dupla axis AC.
io nuius demonstratione adeas Scholiut.
Propolitionis vigelimae sextae Libri Sccundi
nostrae Divinacionis in Apollonium, in qua octen-
sum tuit aggregata (ImUI ACD, AFF, aequalia
esse Temiordinata AB CX FOCO, 2C duplo segMen-
ri axis AC inter focum, ac verricem P’arabolx CB.
OR O L. L
Inc haud dilticile constabi itolcelium trianoulorum lopeco
maximum esse requilaterum. Nam exiangula ACD, AF. F sunE di-
midia iloscelium, quorum alcitudines fUnE A D, A F; sed in hac Cemi
Parabola Perimetri A C D, LLL Tum aGuateS, e8B a dpH no C
perimetri iloscelium aequales erunti at in eadem, illorum maximum est se-
mixquilaterum, erso iner ilolcelia iloperimetra maximum est aequila-
rerum.
PRO.