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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 125, page id 797435492:0367
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Is
b
Ro E C T. XII.
recta DB, (E D B. R: :LL. B F (BIF autem BE, uF _C DH ipAV D
Derpendicularis) tum per P, angulo BD H inclusa, transeat hyperea
FX X; Cirque sparium B L XI (polica nempe lX ad B P puron
aequale duplo spatio Z D L siF denuo D M ==DC; CrIE NNAHCMI
ra quaelica; quam uriquue I CatE AE reCtA T M, exit FD. D M.
Probl. V
Sit rurtus spatium F DC (ut in prxecedente) reperienda est curra
AM B, ad quam si projiciatur recta D NM, _ (IF D T huic perpen-
dicularis, _ M T CUrVam A M BTanSAL, fUCTIED T == DN.
Adtumatur quaepiam R, _ SIFDZ 4 =
(cui perpendiculares DL, BF = R3
DTT3 ITEM ACCCDTa D B
OB9  per F incra asymptotos
DB, D FI deleribatur hyperboliformis secundi generis (in qua nempe
ordinatx; ceu B P, vel IX, (int quartae proporcionales in rarione D B
ad RE, vel D C ad R) cum capiatur sparium BIX F aequale duplo
ZDL.; _ (It D M = D I; exit M in curra qualica; quam ( can-
SaEMT, exIFD T = DN.
L18. 288.
Probl. V.
SicFigura quaeris A DB (cujus avis AD, basis D B) _ utcunque (i1s. 789
ducta PM ad DB paralleta datum sir (seu expressum quomodocunqué)
spatium AP M, oporret hinc ordinaram P M extibere, vel expri-
MerE.
ACCepEa quagiam R, SIER X P Z = A P M; hinc emergat linea
AZZ R; huic perpendicularis reveriatuZ O; cum erie PZ. PO
S: R. F M.
ExCMP. AP VOCETUE X _C (IE A P M = V rX, ergo P L = V
; unde reperietur PO =
a X
. EAque ..
3 X X
: r. Z Y r x = P M. unde A M B est Parabola, cujus Pa-
rameter est 4r.
Aliter.