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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 66, page id 797435492:0290
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L e C F. VI. II.
cans, ue vides. FAque YP. PHL CTP: PI::) FD. DP
IFCMSP. PR:: SD. DF, CrGOTPXSP. PM X PKL TD
ZSD: DF XDF:: TDKSD. PMXFH. Verum YDX
SDL TP XSF; ac inde MAOISTD RSD. PMXPRL FDX
SD. PMXPH. quarE PNIX PK =S PM XPN; vel PR
PVI. Ltaqne recta FS extra cueram Y F N eora jacet.
Not. Si livea Z F M recta tuerit (urique ips PP P coincidens) exir
YF N hyporbola vulsaris, cujus centrum P, asymptatos una T5, al.
cera TL ad EF parallela
7. Onineriam sit punctum D, curraeque dux Z F MI, Y F N ita
relatx, ut per D duet a quacunque rect a P F 5: CIt. Perpetuo rectangu
lum ex D E, D F aequale cuidam quadraro (ex Z DUTa); unam rero
CHEVaI Z F. Mtangat recta F R; alterius ad F ransens ita determina-
CuE: DUCATUED P ad F R perpendicularis: Factoque DP. L:: L.
DB; bisccetur D. B in C; Conexaque C F, ducatur FS ad C Fnor-
malis; haec curram Y F Ntanget.
Nam centro C per F deseribatur C irculus DOB; _ per B traji-.
ciatur utcunque recta LN lineas interlecans, ut vides, eAque DO x
DI(a) =DPX DB (6) =Z9 (c) = = D AI X DN vel DO. DM
::DN. DI. ergO gm. SIE D M (C) = DF; erit DO = ADN,
itaque circulus DO B curram Y P Nranset. Ouare recta. FScandem
YFNtanGCL.
XI. Currae X P. M, YF Ntales sine, uE ducta quapiam F F ad POs.
tione dacam parallela, sic semper hec aequalis eidem alicui; curram
aurem Y FH rangat recta SF; huic parallela R F alLCTa X F NY
continget.
Nam urcunque ducta M R ad F F parallela est NII - 3 (R I = F E
==) NM. ONArE PANCTUM IEXETA CUTVAM Z F M jacet, 5 C.
Rerera linea X F MI nil aliud est; quam ipsa Y F H eranstocata.
Lerius hoc, ec methoditantum gratiâ Propositu.
ZII. EIE CUIEVA GUXPIaM X E M, quam tangat recta P R ad F; sit
item alia curra Y F A ad alceram ita relata, ur ab altignaro puncto D
crcunque dueta recta D F F, SIE semper inCerCePEa F E xqualis alicui
determinatxe L; curra T FNtansenS (ad F) ita designatur: Su.-
tatuE D II = Z; _ Per EI ducatE A HI ad D HI perpendicularis,
ip(I F R occurrens in B, X per P ducatur FC ad A B parallela; suma-
turque CL = GB; exir connexa L. FS CUEVX Y F . N TaNSCnS.
Nam
E18. 84
a) Lect
1b) Constr.
ed ll1e.
E13. 85
18. 86