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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 73, page id 797435492:0297
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L B C F. IX.
DE F concurrentes punctis S, Y; exir semper DI = 2DS. Quod p
siD E sunc ut cubi iplarum DF, erit semper DI = 3DS; ac (-
mili deinceps modo.
18. 59.
Z. Sint rCCEX V D, TB concurrentes in T, quas decusset polsio-
ne daca recta DB; transeant eriam per B linex FBE, FBF cales L16. 100.
ut dueta quacunque P C ad D B parallela, sIt perpetuo P F eodem or-
dine media Arictimerice inter PC, P P; tangat autem B R curram
EB E, oporret linex F B F tangentem ad B determinare.
Sumptis NIM (ordinum in quibus (unt PF, P E exponentibus)
Hac N X F D f ME XRD. MXED:: RD. SD; _ connecAa
I
tur BS; haec curram F B F continget.
Nam urcunque dueta (IE P C, dictas lineas secansut vides. Fstque
EG. FC:: (a) MI. HI. CrGOFGK FD. EGKTD:: HIXTD.
MI X ID. ILCM F F X RD. E G X TD:: M = NX RD. M X (a) ET. Lea.
lD:.Puapropter (ancecedentes conjungendo) erit FO X TD L VII.
EF XRD, ECKFD:: NIXTD L M = NXRD. MXTD.
(hoc est):: (B) RD. SD. (C) Fst antEM L G X TD ) RL XRD. (b) Constr.
RGZTD:: RD. SD. quare FCX TD. ( E F X RO. FC X (c) 4. Lea.
FD:: L GX TD -J. KL XRD. RG X TD. hinc, cum (IE FC (d)
VII.
ERO; exIE F G X TD. L. E FXRDC LOXFD.LRL X RD; (4) Ayp.
vel FC,. F F - f. TD, RDC LO. RL -]. TD. RD; Peu (dem-
pea communi ratione) FC. E FR LG. RL. vel componendo
EG, PFL RC. RL (C) L FO. BL. unde CA F F = 1 FL. (c) 1. Lect.
itaque punctum L. extra curram F B F. Cicum est; adeoque liquet
Propolitum.
ZI. Ouineciam, reliquis stancibus iiidem, (i P F supponatur ejus-
dem ordinis Geomerrice media liquet (plane licut in modopraeceden-
tibus) eandem BS curram FB F contingere.
Exemplum. Si P F Cc e Pex mediis cerria, Peu M --7; C N =- 3:
erit 3FD -]. + RD. 7MD:: RD. SD; vel SD
ZNDX RD
3TD- ]- 4RD.
XII. Patet etiam, accepto quolibet in curra F B F puncto (Ceu F)
VII.
rectam ad hoc ransentem consimili pacto designari. Nempe per F F18. 1O1.
dueatur recta P C ad D B Parallela, secans curram P B F ad P; _
Pex E AUICAUT E R CTVA E. B F. ransens, Racque NX Y p L M,
NSX RP.
M X