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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 106, page id 797435492:0340
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L. P C E. e
IV. LIdem Sancibus, sic curra A Y Icalis, ut ordinata P Y SIE in.
cer congrmas FM, FZ proporrione media; erit solidum ex spatio astE
circa axem ab roraro Factum aquale solido, quod a spatio AD I circa
aXCM A D ConVerIO PEOCreatuE.
Nam CAMN. N R: : PM. M E:: PM Z MF. M FG: :RZ X
FM. M Fg. unde MN XM F q =NIRKFZ XFM; hoc cA
HLDX HBq = N R X F Y9. Unde liquer Propositum.
V. Simili ratione collisetur, si F Z PONatUF InEeK PM, FL bime
media, Fore summam cuborum ex applicaris (quales u ∞) a curra a p s
ad rectam a 6, xqualem summa cuborum ex explicatis à curra AZI ad
rectam AD. Parique modo se res habebit quoad eaeteras potesta-
tes.
VI. Porro, Cancibus reliquis, sit curra V Z O caliS, uE F X ipsi NP
aeQuetUT; e curra DEL talis, uE HE aequetur ip(i P P; erir spacium
a  t 6  qua le spatio D VOB.
Nam estM HI. M R:: M P. PF; adCOGHEMNI X PE LM R
XM P. hOC esHV Z p E = F S X F X. vel rectang. F.I = rectane.
us. Unde liguet Propolirum.
VII. Subnoretur hoc: Si curra A B Cit Parabola, cujus Axis AD,
PATAMETEY R; CriE CuEVa V XO hyperbola, cujus centrum D, AXISDV.
cujusque parameter axi R aequatur (scilicet ob F X9 =- (P M =
PFg ]. F M g =
a L FM9 = =Q FDF g =) DV4 ) DE4).
item spatium a 6 i e erie Rectangulum; quoniam singulx applicat
HE ipsi aquanTuI. C onstat itaque dato spatio hyperboliso DVOB
curram AM Bdari; Sc ricissim. Hoc obiter.
VIII. Adnorari posset etiam omnia simul quadrata ex applicatis
ad rectam a 6 a curra uc. L. aequari rectangulis omnibus ex P F, P X
ad rectam D B applicaris (Peu computaris); eubos ex uE aequari ip(IS
PF GX PX; ac ita POrrO.
IX. Adjunsatur eriam (producta P M Q) LIPONatT L L aqud-
lis ipsP C. _ p P ipsi AQ; spatium a Cd spatio ADL R X
quari.
aTar
518. 156.
57.
F18. 256
F18, 156.
FI∞. 257
F18. 257.