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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 258, page id 175906937X:0282
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=282
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2.58
E L E HI. C W R Y A R U 1
Fodem modoliaequatio (icyy 1
bbX X
a a
b23 +267 ∞bx -
-C67
asumpto juxta Regulam Z ∞y L -  6: erit y 3Z -. - 6.
Duo substicuto in locum ipsiusy, ejusdemque quadrato locoyy,
expunctisque iis, qua se inricem collunt, atque omnibus ri-
te ordinaris sequentem formam induta erit superior _quatiO:
∞dX, (IOCO == = b substicuatur d.
Unde icerum apparet, aequationem esse reductam ad Formulam
Theorematis VII, ac propterea Locum quaelitum esse Parabo-
lam. Ad cujus speciticam determinationem esto in lequenti Agu-
raiplius x initium immutabile punctum A, atque eadem x ab A
puncto per rectam A P. indetinice le extendere intelligatur, litque
datus vel allumptus ansulus, quem ree x comprehendunt; aequa-
lis angulo F AF rel P. AC. Deinde quoniam Z est ∞7 L 6. +-
Ci y supra lineam
AF exlurgere in-
telligatur, reluti
E D, ducenda pri-
inum est intra
candem recta CB
ips parallela, ita
et partes rectae
FC omniumque
ips aequidistan-
tium incer praedi-
EtaS A F e G B
intercepcae, reluti
AO, F B, aeguen-
crccoonica.  peraci, cin quas secta, quae possit ese y
ad rectam CB producta, uc, exempli gratia, DB, sic ∞ y L 6,
oportet ipsi adhuc adjungere =, ut fiac aequalis Z asumptae.
Ouare, cum CB Peu A F indehnire CUmPEa SIE D X, AI Cx G juxta
IPheorema hujus libri intra eandem GB recta duCaEur, UF G C;
ica ut omnium ipli C F Parallelarum partes inter (B et OC in-
tercepta, reluti BC, ad partes iplius C B inter C d dictas p2-
rallelas