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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 71, page id 797435492:0295
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Ru B. C F. IL
M:: PZ. P Y iconneCtatErque rectA FY; AXC CUrraM FBP continget.
Nam per P duCaEHE recta C F ad AB (vel V D) parallela: conci-
piaturque per P cransiens curra H F H calis, ut ducta quapiam OL.
ad D F: Parallela (CurraS F BP, H F H in L, _ H; rect asque CF.
V P in Lac O secanre) Cir semper OH inter Y,  L. eodem ordine
edia, quo P Li InteF P C, PB; e praecedente jam constat rectam
connexam FY curram II EH contingere; verum curra HEH (a)
analo82. eA curra F B F; (b) ergo recta F Y. curvamI F B F quoque 4 7. L ect. 7.
ContinsCF.
IV. AdnOtetuE, Polito lineam F. B P rectam esse, quod linea FBF
b 5. L.bCl. 68
parabolarum seu parabolitormium aliqua lic. Quare quod de his pas-
lim obserratum habetur (ex calculo deduclum, e inductione quadam
comprobarum, nelcio camen an uspiam Geometrice osten sum) ex im
mensum aberiore Fonre manat, ad innumeras aliorum generum curras
se dittundente.
V. TIInC APerTE ConseCtAtE; (I. TD CIE recta, sintque dux qua
dOM CUTPX P P E, F F F ita ad se reluta, ut ductis recIsP F F ad F,9. 96
politione datam B D parallelis, sint ordinata P F. semper uE guadrata
ex ordinatis PF: RCCLX VerO FS, FT (ex ejusdem communis ordis
natae terminaris ductx) currashasce contingane; erit TP = 2 SP
Ouod si ordinaEx PF se habeant uc iplarum P’F cubi, erit TP = 3SP
si P F line ne quadraro quadrata iplarum P F, erit TP = 4 SP; ac
Sc eodem ad iNfINILUM CONLIMLLO FenOIE.
VI. Sic Porro Circulus AB C, cujus Cenrum D, radius D B,
item linex F B F, F B F per B transeuntes, ac ita relatx, ut ducta fis. 97
per D rectâ guapiam DO, sic semper D ii eodem ordine media Aricti-
metice inter DCI, DF; tangat aurem rect a B O CUrVAIM P BP in B;
ODOTFEL CUEVX F B F cansentem (ad B) delignare.
HOC (CerEE (a) generatim quadantenus praesticum) e re Fueric hic
speciatim apertiis arque plenius exequi: Duortum sic DO ad D B a 8. Lect. 8.
perpendicularis, quam secer B O in S; HaE VerON. M :: DS. DT;
connestacurque recta TB; MXC CUEVaM F B F tanSCE.
Tansatenim recta P B circulum ABC; secenturque rectae DS f. 8. (97.
in 22, _c BS in Y, ita ut SIEDS. DX:: M. N:: BS. BY; perque
puncta Z, Yducantur XZ ad BS, ex EV ad DS Parallela, concur-
rentes in C; cum asimptoris Y C Z per B craducta concipiatur hyper-
bola L. B L; porro ex D projicintur. nreunque recta D P dictas lineas
InFeF