# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/898203430:0083
# Permalink to this reading: https://leibnizlegible.com/page/898203430:0083?run=74
# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 55, page id 898203430:0083
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=83
# Source image: https://digitale-sammlungen.gwlb.de/content/898203430/jpgs/default/00000083.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 42 lines, status machine
# Lines: 42 recognised, mean confidence 0.92
# 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.

VEL LIMIT. ORDINATIONVM CONIC. L. IB, I.
(3S ad RF, sive SFE ad HF (in criansulo OHS) sivc DL ad L B, et
exratione ST ad FP, vel SM ad M L(in eriansuIO S M Y) vel Cx F2
tione D N ad NL, ex his vero racionibus componitur de ratio rectan-
suli NDL ad NBL, erBo rectangulum OST ad RFP, siuc (ob ae quan
litatem) quadratuM raII E. A ad quadratum rami P B, est ve rectan.
lum NDL ad rectangulum NBL. Ouod erat primO, dC.
Praterea: ducris per F. R axi D E. Parallelis, quae productam P F.
sCCenE in V, M, _ rectam ex F ip(I R P aequidistantem in Z, Y; erit
in criangulo RPV, ve RB ad BP, ita V F ad EP, vel ita V X ad XR,
vel ita MY ad YFI, vel ita NE ad F L, sed est R B aequalis BP, CrBO
_ NF aequalis es EL: punctum ergo F, datae Hyperbolae centrum, est
quoque centrum Moduli NL. ex Alymproro, Led FL. minor eA F. B, er-
5O, ee F. N minor F. Z, adeoque TotS ModutuS N L. inOF aXC Eran.
lverso Z. B datae Hyperbolae. Ouod virimo octendendum erat.
PR OPOSITIO ZXIX.
N Sectionibus oppositis. Si vnam oppositarum, duae re-
eta lineae contirentes in onum conveniant, (5 ab ali-
quo puncto eorum; quae sunt in altera sectione opposita,
ducatur linea oni contincentium aequidistans, quae, (5
Sectionem, (5 alteram contincentium secet: erunt gna-
drata sermentorum huius contigentis inter contactum;
eo aequidistantes sumpiorum. et rectanculum. conten-
tum a sermentis line e equidistanter ducta inter Sectio
nem, (9 contincentem interiectis ad quadratum contin-
eentis sibi varaliela.
N Ine SectioneS OpPOLIEX AB, FD, quarum alceram A B dux rectae li-
neae AC, BC contingant ad A, B, limulque conveniane in C; d
in opposiia Sectione FD, sum.
ptoquolibet puncto D, ab ipso
ducatur DF alceri praedictarum
cansentium, reluri ipst BC
requidistans, quae que D F prO.
ducta cum reliqua tangente
A C convenide in F C COnUC-
niee enim proculdubio cum.
AC, atque exrra Sectionem.
FD, quoniam AC, secans vnam
parallelarum BC, secabit,
ee reliquam F D, ee eadem AC uni oppossearum Sectionum A B OCCUT-
iens ad cactum A, producta nunquam cum altera dectione LD CoWe
MIE,