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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 139, page id 797435492:0389
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L. RCF. XIII:
4. Consequenter in harum secundo sradu AIn C, 0; interrio, CIn
ocv
toAnE
56
56
3 = 30c4-
m 
16
6
27
27 8, in quar
F et nulla radix habetur; unam in ictis
calibus recta P. F curras supergreditur, nec iis occurrit.
5. Itidem in his omnibus maxima possibilis radix est AII = AC.
6. Curra C TH est Cirouli quadrans, reliqua AMHI, AN E
quodammodo ruxnonictis.
7. Ad sexram seriem perrinentium curra FIL L est Byperbola aeque
latera, cujus axis ATI; reliquae sunt PEyperboliformes. Unde quoad
hanc Periem liquent Cxtera.
Series seplima.
a -= b) = n.
aa)  b a - (- C6 = n n.
a + b a a  CCa = n
a +- ba  66a a = B , eCC.
In recta B A EI indetinite prOtensa capiatur AB = b; _ in AD 5j8, 27a
ad BII perpendiculari sIE A C- =0; sint etiam anguli HIAR, IIBS Semi.
recti, cum arbitrarie ducta C Y ad AHI perpendiculari quae ipsam
BSsccet in Y; HaE A G. AC:: A C. PR; _ per K incra angulum
DV Sdescribatur Byperbola R R R 3 SIE deMUM CUErZ CL. L, ANM,
ANN tales, ut inter A C (vel C Z) _ GR SII media C L, bime-
dia CM, trimedia CN; hae Caristacient negorio. Nam CAt ( R = a
F b-; CL q = a a - . ba + c6; e C M cub = a3 + baa
cca; _C NV99 = at- + ba3.  66aA.
NoF.
F. Secundi gradtus curra C L. L eR pars Byperbolae aeguilatera cujus
centrum O, iplam A B bisecans; ex siquidem A C L AO, eAt OFI
(ad a B perpendicularis, _) = V ACq = AO gejus semiaxis;
lin A C = D A O, ejus axis est OI = V AO9 = A C 9. reliquae
VerO CUErX AMM, A N N sunc hyperboliformes.
2 dLLIAC