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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 119, page id 797435492:0357
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8.
ECet
exit
(I.
de
HY
adu 
t. 1.
Si d DunetO F in axe Am coni recti A B Cp recta intinita F C
cranleat per coni supersiciem, _ quiescente termino F circumteratur 51s, 178,
recta F. C donec redeat ad locum à quo capie moveri, ita ut semper
aliqua pars ejus secet coni superficiem (puta per. FI, perbolam C F D et
rectas DA A C in superticie coni (IcaS) solidum comprehensum à super-
ficie vel superficiebus geniris a linea FC sic mota de a portione superfi-
siei ejuldem coni terminatx a linea vel lineis C FD, D A, A C quas
recta F C circumlata deseribit in superficie conica, eric equale Ppr-
midi cujus altiendo est ae qualis perpendionlari F n a puncto F. ad latus
Coni deduetx basis vero aequalis eidem superficiei conica terminata à
linea vel lineis CE D, D A, A C generaris a moru lincx P C.
Solidum enim P C F, D A C constat ex insinitis prramidibus F. C o A
E00 A, dc. requialtis perpendiculari Pn quarum bases omnes
simul Cumpex, extrauriun supersiciem conicam C FD, D A, A C.
Prop. 2
Datus sit Comus rectus AB C p secetur à plano C F D axi A m P2. ( 18. 278,
rallelo ducantur rectae AC, A D a vertice con ad lineam hyperbolicam
C FD, _ super triangulo A C. D erisatuE prramis F A C D habens
verricem F. in axe coni; Cirque P. S Plano A C. D perpendicularis, e
Fn lateri coni.
Dico, superficies conica terminata à linea hyperbolica C F D e re-
EtisD A, AC ita se habet ad A C D basem prramidis F AC D uE
altiendo F. S prramidis E R C D ad perpendiculum F n. Ouoniam
enim Conici AC FD, F C P D habent rertices A d F in plano bali
CF D (quXe est vuerique COnicO COmunIS) Parallelo erDO TunE X-
quales. Si eroo a Tolido quod componitur a conico AOFD addito
prramide EC AD anferatur conicuS F C F D reliquum erit Polidum:
L C F D AC quale in proxolirione prima de scribitur motu rectae F C
xqualeprramidi E A C. D. Ouoniam vero aequalium prramidum re
ciprocx lunebases alciendinibus; ve alcirudo ES prramidis F AC D
ad perpendiculum Pn ita erie superficios oonica terminata a linea hy-
perbolica C FD e rectis D A, A C ad Triangulu A C D. 9. P. D.
er