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# Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 5
# Folio 17r, page id 00067964:0033
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 12v); this page is its right half.
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 69 lines, status machine
# Lines: 69 recognised, mean confidence 0.82
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Ex duabus tectis
d
nec sit C un ad A. B
si Y. A. Ba 2 (Y.) A. D sitqe ideo Y Cx
2
seu si Y un. ad A. B
Y) erit Y recta
siX. A. B. C∞ ∞ (X) A. B. C. Sitque ideo X ∞ (X) erit X planum
in planresen cadit in X. Nam = si Y un ad A. B, erit et un ad A. B. C
et
ergo Y es omn. Y est X. seu re est in X
si recta feratur super duabus rectis describet planum. Nam in
omnia ejus puncta sente nea duom sit recta et recta
immotae et recta mobilis V, sitque Y un ad A. B et Z un ad BC
jam ex Hyp. erit durante motu erit quaedam Y erit V et q
quoddam Y erit V et quoddam Z erit V
ergo V un. ad Y. Z. Sed
Y un ad A. B. et Z un ad B: C ergo V un ad
da
est in plano un ad A. B. C.
E. 7
A. B. C. Ergo
demonstratm non est pus nam determinatum a determinato, determinatur a determinanto
demonstranda prius haec ratiocinatio
V determ ad
Lun ad _ V un ad Y. 7,  et Y un ad A. B, et Z un ad BC
a
erit ergo V un ad A. B. C. seu sersi V determ. per Y. 7. sed Y
defermi per A. B, et Z determ. per B. C, erit V determiper A B
utiqu s
Ntam si V determi per Y. Z, suB (V). Y. Z ∞  V. Y. Z erit
V ex (V) runeus si V dereru
e
sSit vea
V) ∞ (V+ A. B C. dico sire Y ∞ (V)
Nam V. A. B _
seu in situs unicorum. Hini et determinatur ex extramis Hinc et (nve V. Y. Z ~ (VeY
) A. B
t ideo Vap ()
VA. B. C
Nam
vino
(1d0) Y. A. B ~ (Y). A. B et ideo Y ∞ () (mo) si V. A. B. C ∞ (V). A. B. C
1
Ctos Z B  = (Z). BC. et ideo y ∞() (2d0) Ergo V. A. B ~ (V). A. B
2
tas V. A B. Z
2
V. A B. C
DF u
βtor  et V. B. C ~ (V). B. C
(ato) V. Y. Z ∞ (Y). VZ
Lu A, e 1 d
V.
Datis A, B et data relatione A. B. Y datur Y.
data reatione B. C. X datur
A torc. .
V datur V.
relutionibus AB  B enk
antum ergy
datis Y.
Datis. Ergo datis
G A. B4 demonstrandum
a
Datis B, C et
et data relatione
A)B, C, et datis
si data A. B. Y, et datis A,  datur Ym etiam
lata A A. B. V dabitur Y  dari Y.  (oe