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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 100, page id 797435492:0336
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E. E C F. ZI.
2XI. POrro, Cccirculi (cujus cenerum C) segmentum B AC, cu
jus axis AD, e gravitatis contrum R; Ponatur autem A D -
C A, eHID = =
mouS
 AD; exILEID majox ipSa RD.
Nam per EI ducatur recta O P ad B P. Parallela; estque punctum
aa. E2 (4) cenerum gravitatis paraboliformis, (puta A F B) ad balin B F
(3)8 hajus ap.
n
cansic; (nam si-
 (b) guxe proinde circulum AEB
E
2F - 5 = m 5 exiE 5 5 -35 n.  2m _ prO.
inde FT (a) erit centrum graviratis par aboliformis isti coordinatae pex
O, P transeuntis, e ad balin B F. perringentis. FIeC autem Cupra
Cc)rO Bujus ap L (5) extra circulum cadit, e intra OP (d) intra ipsum; (e) adeoque
sanctum EI CuPra R sicum eAt.
XXII. Sin punctum L. sic centrum gravitatis parabolae, eric L intra
Rlitum; adeoque RD F = AD. Patet ex 4, e 17 hujus appen-
dicula.
XXIII. Sit Typerbolae (cujus centrum C) scementum B a F, cujus
axis AD, basiS B F; gravItatIS CeNEru R; Ponatur autem AD=
C A, _HID =
5
F-) -3 AD; exit HI D minor ipsa RD.
(4) 2.jus. ap. Nam per HI ducatur recta O P ad B F. parallela (a). F. Aque punctum
FIcentrum or. paraboliformis, puta AF B, ad balin E) B conctitutX,
(6)T3. husus ap cujus exponens
2F.)5; (b) qua _ Hyperbolam ad Bcontinsic (nam
2.t. ]- 5 m; erit
F =) - 5
5F 35 n F 2m (a) quare LI exit Cen
trum gravitatis paraboliformis isti coordinatxe per O, P ductx, _ ad BF
(cdr5. hajus ap. insentis. haec autem supra OP (5) intra byperbolam cadit;
(a)6 hujus ap ce tra OP (d) extra illam; (e) inde punrium R CuprA H
XXIV. alabosa clm et. (Pula L.) Iupla i halcts aleoe
 145 AD. Facet ex 4, _ F8hujus appenciculae.
aA
10C
F18. 246.
CadErhujus ap
(0) 4. Bujus ap.
Fi
18. 147
(e) 4. hujus ap. exictit.