# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/79876922X:0735
# Permalink to this reading: https://leibnizlegible.com/page/79876922X:0735?run=74
# Title: Erhardi Weigelii Sacrae Caesar. Maiest. ut & Com. Pal. Sultzb. Consiliarii, Supr. Artium Archit. Directoris Saxo Ien. Mathemat. PP. totius Academiae Senioris, Philosophia Mathematica (shelfmarks Leibn. Marg. 65; ZEN Leibn. Marg. 65)
# Folio 237, page id 79876922X:0735
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=79876922X&page=735
# Source image: https://digitale-sammlungen.gwlb.de/content/79876922X/jpgs/default/00000735.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 60 lines, status machine
# Lines: 60 recognised, mean confidence 0.82
# 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.

23
Um pI
d sect
sum;
l.B. A
M B
vet
B
1.)
Utrobi
DaTIB
ere
elle d
anctu
C aqu
udines
vel d
exto, pe
niSUI
utriqu
e add
It ObiI
alitais
later
Ex EB
quod
VEKITATIS SPLCIFICM.
  nva nuarum nm
quod complerus unius ab alterius complexu se.
paratus lit, nec ulla masmitudine, led rudo purr-
do cohareant ambo. Tentanda proinde ve-
nie composicio aut dirisio materialis ntriusque
cum alieno, sibi tamen cognaco, compleru di-
rectiro, nempe cum directiro compleru CiB B.
(vel OPDOSITO AFID.) qui complexus utrique co-
Enacus, si utrique additur, producit compolitos
complexus directionum nempe CiR A. n Ci F, B.
e C. F, B.  BF. D, qui sunc aequales inter se per
Prov. 13. Cumque particularis complenus CiF. B.
sic communis urrique per structuram, idem sibi
agnalis eric, hinc si Tuberatatur ille ab utroque
complexu composito, retinquetur complexns
CiF A = ip(I BF D. Ouod incendebatur.
Formaliter aucem inter se componi posse
rationes directionum utrarumque, cum effectu
Scientia, praelumi potest ex cognatione rectarum
dirergentium, quae alcernatim combinaca re-
etas lineas eficimne. Reminiscimur autem
quod uniuscujusque recta pars altera, quatenus
a communi puncto procredicur, in oppositum
alterius partis exacte spectet, adeo quidem, ut
mutata directione partis unius circa prnetum
commune, tanguam circa cenerum, iltico tar
aindem, sed in concrarium, etiam muretur de
rectio pareis alcerius, per Kosulu ErvoIar. FAC
isitur et bina rectae totales AF. B. _ C FD. pri
ro coincicane, posteaque, stante puneto sectio-
nis L, drrereant quantumcunque cica Pen
Vu 2
ctum