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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 106, page id 898203430:0298
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=298
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# Lines: 38 recognised, mean confidence 0.89
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106
VINCENTI VIVIAMI
Ad Pac. 69. post Corol. Proposit. XXXIX. repetita
hoc l0co fieura, quae ibi, es suppleta,
adde.
Pretered; (i quaeratur ad quod pun-
AB eadAE Foens secude FIlipSIS A FIC I,
Droducatur RF Pemiordinata per focu
E FIlipAS dacae ulque ad occurlum cum
radio F O in V, a quo agatur recta V V,
quae tangenti (LX occurrat in Y, e ar-
cum IIO secet in X, a quo ordinetur
ad TIB reCTa X Y.
Dico, punctum Z esse Focum quaesi-
cum.
Ouum enim (c, ex constructione pe.
racta in ipsa PrOPOlIC. 39. TIF, 2d L. B,
uc F, B ad F F, live ueBO ad FV, vel
2d Z. X; eric rectangulum lub R FI in
LX aequale rectangulo sub R B, in BO.
sire aequale quadraro lemiaxis conju-
sari AE. (quod sic per primo oltentum
in eadem PropOlIE. 39. recta BO di-
midium recti lateris EIlipsIS ABC D)
ac ideo punctum Z est focus alterius
Elliplis AFC L. QuoderaE_C.
LDDLIIOLL LIWNOSECOH
Ad Pa5. 13. post Proposit. XIX.
M C
N
7
constructione Propolicionis Decimae nonx, quaS ordinatio
Venatur ad axem conjusatum, in demonstratione tamen verifica-
tur quoque de oranatione ad quamlibet diametrum, aequehaec Pro-
Dolicio insionem quamdam aperit FIrperbola proprietacem, quam in
lequenti Pheoremare univerlalirer exponere, e oltendere libet, ex
jan alibi in hac Dirinacione demonctracis.
PRO.