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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)
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Ca) 17. Lect.
(4) 22. Lect.
Fiz. 106.
L. P C Y. Z
C Tempex HK = EI F, inin curraM Y K E (A) tanGAT recta PSIn P.
haec curram AlF quoque conringet.
F.st enim OK = G: H + HIK = G II. f. HT (a)CA =OI.
quare punctum R exrra curram AIF jacet; adeoque recta FS cur-
vam A lF conringet.
YY. Ouod Irecta F E ad arcuni A F eandem aliquam cunque ctatu.
atur habere proportionem, ransens ejus Facile determinatur ex hrac, d
Octara octara Lectionis.
V. SInE ReCTa A P, duXque SArVA A F C, A FI, ita ad se relar
ut ductâ utcunque rectâ D F F (quae rectam AP, CuEraS A E C,
A FIpunctis D, F, P, seCet) CC semper recta D Y aequalis arcui A L.
tansar autem recta PI curram A FC ad F; sumaturque F T par
arcui P A; _C sit T R ad B A Parallela; connectatur denuorecta RF;
haec curram A F I cariget.
Concipiatur enim curra L F L talis; ut ductâ quacunque rect + PL
ad A B parallela (quX CurraM A FC in C, rectam YF in HI, Cux.
vam L L L. in L seCCT) sit perpetuo recta P L. aequalis ip(IS T II, HC
simul; estitaque PL (a) E ArC. A F O F = P l. Unde CUEVA L FI.
curram A F Ltangir. Irem recta LK (b) aequatur rectae THI; (C)
adeoque curra L. FL rectam R F R canSIE, (d) quare curram A F I
tanser recta.
VI. Friam lirectae D E ad arens A F quamlibet semper candem ra-
tionem habeane recta RE nihilominus curram A F LtangeF, ut
ex hac, ec sexta octara Lectionis Facile patet.
VII. Sit punctum D. daxgRE CDEVE AG E, DIE ita vertas sC
relarae sinc, ut a punicto D projecta quaris rectâ D F F, siE pexpecuo
recta D F xqualis arcui A F; tansaE autem recta P I CUrVaM. A C F
ad F; delignanda jam est recta, quae curram D IFtangat (ad F).
SuatuE F. T pAF areni FS; concipiaturque CArVAD RK talis, ut
 D projesFa utcunque recta D EI (gUX CUrraM D R R in R, rectam
T F in LI SECCK) SIE perpetuOD R =THI; CUM CAEVaM DK R (a)
tangat recta FS ad F; haec curram D l. F quoque tanget.
Incelligatur enim curva L F L calis, ut a D projecta quapiam recta
DII (qux rectam T F secet in HI, CurVam L. EL in L) sic sempex
L =- THI =) FTC; estiraque DL (b) E arC. AC (6) =DI.
1) Udi s eta D LF, L F L sese (b) cominsent. irem currX R
L. FR
(a) 22. tecta
(6) 26. Liet
TI
(6) 3 Fect.
(4) 2 Tect.
VEII.
E18. 107
(1) 10. Lect
122. L661
TI.
(c)Nyp
(4) 4. Lect.
NIEI.