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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 121, page id 797435492:0359
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E RC Y. ZII.
APDENDTEULA Z:
Pexecedlentia recolcnrhonnulla ridentur clapta; quae Forton ex usu
liradjicere. Demonserationes elicere poterit quispiam eprxmissis; _
Problema I.
porior inde Truetus emierget.
Sic curva quaeris R F:C, cujus axis AD, ec in hoc signatum
punctum A; Curra reperiatur, puta L MB, talis, ut (i ducta urcun-
que recta P F: ML axi A D perpendicularis currari R P. C Secet in F, _
curra L. M B in M: RECNOn COnNeCtaTUT A F, _E CUEYAM L MI B
tangAE reCta T MI; SIE TM ipsI A F parallela.
HIoc ita Aet. Per aliquodeunque punctum R, in aXC AD sumprum
prorendatur recta R Z ad iplam A D perpendicularis; cui occurrat re-
cta P A producta in S; _c in recta F P lummatuE P Y == R S; ita de
termimetur curra OP Y proprietas; cum sic rectansulum ex AR, e
PM xequale spatiO AY Y P (ICU PM-
CurVA L M M B conditionem propolitaI.
(Dat. AYYP
AI2
habebie
Adnotari potest, A Stancibus reliquis, sic curra X X calis, ut cum
hanc secet recta E P in X, SIEP X = AS; erit spatiuM AXXP
aequale rectangulo ex A R, ec curra L. M, seu
Exemp. I.
2XXI
 LM.
Sit AD C circuli quadrans, ex dueta F P ad AD urcunque per-
pendiculari, connexaque DP; delignetur curra A M B calis, ut (I F1g. 18L.
producta recta F P M hanc secet in M; ipsamque canSaL recta MI,
(EM T ad D E parallela. FIOCItA PeraGCtUE. DUCatUE AZ ad DC
Parallela; de huic occurrat producta DE in 5, _ curra A Y Ytalis
lic, ut sihianc secet producta P E in Y, sIE P Y =AS; cum capiatur
PM =
Spat. AYP
D; factum exit.
TTot. Ouod si curra OX X raliS SIE, UFP Z =DS (vel A AC
AD, _ OX X sic hyperbola angulo A DC comprehensa) exit
CUrrA A M X A D = SPAC. AOXP.
F.XEMP.
F18. 180.