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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 62, page id 797435492:0282
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L. R C F. VTI.
niam jam cAt R F (b) = N F; _CR F F C MF; perspicuum cAt
reltare F F. = 2N M.
Ita quidem ab una rectae B 9) parre recta B R duci porest, quxe mi-
nores iplis M N incercipiac; (a) Porest aurem ab altera parte recta
quoque duci, quxe minores incercipiae ipis F.F; unde rotum liquet
Propoticum.
XX. In recta D Z sinc eria puneta D, E, F.  in F sIE Vertex an-
suli rectilinei B F C, cujus latera sCCCF recta D BC; DeF F vero
ducta sIc recta F: C; porest ab F reca duci (Ceu F HI) FaliS, ut a
puncto D projecta urcunque recta D R (it in hac a rectis FG, FH in-
tercexta minor a rectis FC, F B intercepta.
DUCanEUE P S ad F C, _ P R ad F B parallela; e in primo casu,
ubi punctum F. puncto D ricinius est, (ob similicudinem triangulorum
Ca) 29. haja F N M, F. K I) manifestum est Fore M H = IR; (a) Porest au-
tem ab E duei recta (puta F HI) calis, ut iNTEFCCPEX P O minores sinE
intercepeis MH; ergoliquet.
In altero casu, ubi punctum F ip(I D propius, Tumatur SL. aequalis
ipA C B; _ COneStaTIE F L; Fstque jam IR. MH:: FK. FN::
DE. DC:: F C. FS:: B C. RS (6):: LS. RS (d) C QN.
(4) 6. Lect. VL. MI N. quaproxter eAIR L ON. (a) porect aurem ab P. recta duci,
ceu F HI, sic nE ab F. C, F II intercePEX OP minores lint interceptis
L.N. quamobrem abunde conctat Propositum.
XXI. Curram B A tangat recta BO in B, sitque recta BO X-
qualis curra B A; Cumpro cunc in curra puncto quoxiam R conne-
Etatur recta RO; erIt K O MajOT ATCUK A.
Nam, quoniam recta minimum est incer bina puncta interrallum,
eAt BR. J. RO = BO = BR .f. R A. ergOR AL RO.
XXII. Elinc, utcunque sumpris (ad ea sdem conractis partes) duobus
punetis R, L, connexique rectâ KL; Crit RL I. LOE RA.
Nam, lupra contactum vertuS A, eA RL -f. LOE ROE R A.
Intra vero, est RL + LBE RB (ex hypochesibus Archime-
dais) adeoque RL + L OE KA.
8) Constr.
E18. 73
Fig. 74.
(c) Constr.
218. 75.