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# Title: [Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ (shelfmarks Leibn. Marg. 0; ZEN Leibn. Marg. 0)
# Folio 108, page id 797435492:0172
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L E C T. ZV.
Hami ob OZ. g --ZTxZ5, OZ9:: OZ. OC; erie OZ. cab
=OCKOZ9 OCZZTFZS. transponendoque OOXLIXZS -OC
XOZ9 - OZ cub. aequi propter O2. 2S:: O. C. CN. est
OZXCN = ZSXOC. quareOZ ZCNX Z T =OCXOZ9
OZ cub: adeoque (elidendo OZ) erit CNXZT =OC
XOZ OZ9. vel CN. OC.-O2:: OZ. ZT; hoc est CB. CI::
OT. T T.: _ componendo BZ. C 2:: OT. ZT: : I. R. itaque
primo liquet punctum Z imaginem esse puncti A, ex retractione
tactam ad circulum BN. quinetiam ob CY. YH:: e0. 05:.
R. I. Palam est NO retractum esse radii ad CY, hoc est ad F O
Paralleli. liquido proinde constat provolitum. 
In hoc casa deber ese OZqL. Z IX LS. Fand absimili ratione quoad
alio5 calus (uc si circuli retringentis carum objecto exponatur, ec.)
Peragetur negorium. Cgo specimen tantum instirni Problematis, juxta
quod vilibilis objecti species per retractionem circularem secundum
DexCcirutas quantitarem atque distantiam urcunque Dossi immurari. II
818. 176.
APPENDTCDEA
P hac paullo strigosior Lectiononnihil incrassetur, Faciam hie
A(quanquam alienore loc0) quod alibi (li mihitunc in menrem
venisset) Factum oporrebat; raciociniis noltris adverlantem, a viro
doctiltimo (alioquin opinor raro dormitante) commissum paralo.
silmum, ne cui fraudi sic, deregam ac amoliar; unaque doctrinam
nostram contirmabo. horsum e pramiltis consequens, sed e expe-
rientix (ut videbimus) consonum hoc prasterno: P retractione quavis
(nec non creflectione ad circulum) duobus oculis apprehentum ob-
jectum (puca lucidum punctum A) revera duplum apparet, seu duas (ad
minus) obciner imasines.
Nam a puncto a excuntes indectenti M N incidant duo quicunque
racii A M, AN; quorum inAexi (inE M F, N F; COnCurreneS in A;
in his autem uspiam constituantur oculorum centra O, P. qnod puncti
Aimaso nulla ad occursum Z existat, e supra politis, ac probatis con
sectatur (omnes enim imasines ad illa consistere docuimus inAexorum
puncta, ad gux nulli illos alii inflexi intersecant) icaque duxe sunt
imagines puncti a, una in inAexO F M (qualis a) ad oculum O per-
tinens; altera in inAexo FN (qualis a) oculo P deruranda.
Einc liquer eciam magnitudinis cujulvis hoemodo spectata duplicem
maginem habexi.
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