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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 121, page id 797435492:0197
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L E C F. ZVII.
elliplin jacent. Nam BUnCtU R intex F _ Z; ac punctum e incer
O, d K; nec non punctum L intex C, ec Y; atque punctum v in-
ter O, ec L. cadune. imasinis itaque e a y figura ad ellipricam accedit;
ea tamen aliquanto planior e comprelsior. non diltimili ratione quo-
ad imagines ad concara Factas, de quoad exteros casus instiruetur
judicium. exedii plenum esset omnia lingillarim percensere. quineriam
epramissis luculente constat quo pacto linea p a 7 praecise describatur,
punctatim urique. circa retractiones paria veniunt praestanda; post.
quam tamen paullum respirarero; nunc enim verbo quidem pauca,
reiqualicarem, Audiumque demonstrandis istis impensum respectan-
do, latis Forrasse mulca videorrradidise. 
ECT.
L. D Ropositum est jam nobis recta linea ex refractione proenatas ad
L circulum imagines desienare; nempe primu ablolutas;
quortum hoc spectat T Beorema:
In circulum (c. 8. medii denfioris) retractirum M B NYD radier
recta Pa C; huic vero perpendicularis sic recta C A (circuli cen. F18. 197.
trum C permeans) cum in recta FC. sumpro libere puncto L ducatur
recta FC; 8C in hac sE punctum Z limes (qualem ancea fXimuS)
radiarionis a puncto F. sc autem Z Z ad A Cnormalis. porro AaL
CA. CR:: I. R; SE AR. CB:: C RSC F (ponatur autem
C Fad X Z parallela) cum connexa R E cum ipsa X L conreniat in
H. dico FOre XH = C B.
Nam (e praemonAtraris) est F C X MZ. PM XCZ::I. R ::
CA. C R. HOC es F C X C NI, f. BCXCZ. FC XCZ - CM
XCB:: C A. CR. quare (ducendo in se extrema, mediaque)
est EC X C MIX CR L FC XCZXCR = FC XCQXCA-
CMHCLHCA =FCKCLX C. A- CMXF CXCX (quonium scilicet est
+2