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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 213, page id 175906937X:0237
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=237
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 38 lines, status machine
# Lines: 38 recognised, mean confidence 0.90
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

ale
L LB. I. C a P. III.
1
TOFrectangulumm, uc = idem CO F rectangulum ad R ( qui - per 13
dracum, aequalia erune ? YO F rectangulum _ RO quadra- hujus.
Per d
cum: id est, si vererum Geometrarum more id provoni placeat. guinti.
Duae ab Ellipli ad diametrum applicatur pocest spa-
tium adjacens laceri recto, laticudinem habens lincam
quae e diametro incer iplam applicatam ex diametri
verricem abscinditur, deficiensque figura limili limi-
licerque politâ ei qua laceribus tranlverso rectoque
COntinCEUI.
Corollarium 7.
Patet quoque ex ancedictis, quo pacto, datis quibuslibet dia-
metris conjugatis, Flliplis in plano delcribatur.
Uc si conjugatis axibus D AF. _ F AC a F IlipSis sic deseri- a in catir
benda, describente B C, quae lemi-axium AD, A F difterentia (IF, Ay. l dt 1-
intervallis vero FIC, TTB, ip(IS AF, A D ucroque utrique equali-
bus, in aneulo D AC, curra describatur, crirque haec ipsa FIlipsis
quaelica.
AC E aliis quibusliber conjugatis diametris, oblique se le inter-
nilib.
secontibus, uF DE, FIO6, FIlipCis sit describenda: demissa a cer- b in casu
mino unius ad alteram perpendiculari, uc II C, sumpeaque in ca- H8. 1I L ec
dem seu in ipla producta, si opusfuerit, rectâ HI B ip(I D A ves milib.
A F aqualis _ per B _ A ducti recta B AF, Si describente B C, in-
terrallis vero HICsHI B, in anculo B AC FIliplis delcribatur, erit
haec eaipla qua quaeritur.
leaque cum datis diametro parametroque, nec non angulo
quem faciunc cum eadem diametro ordinatim ad iplam applica
Ex, conjusatx quoque diametri dacx Cine: Timul quoque innoce
(cit, quo pacto ec illis datis Ellipsis describatur.
E H E O R E M A XIII.
Propositio 24.
Cllpuccaquolcunque ares deleripea, ducta qua-
libe diameces eransverla est, haberque secundam sibi
med t