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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 248, page id 175906937X:0272
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2. 48
P L. E H. C U. R Y A R U M
exinde binx insuper Formulae nalcuntur, qua hucre
Ferri debene: nimirum,
1. y∞ C, Vel
2. X D C.
P E E O R E M A V.
Propositio 5.
Si aequatio  Dc. Locus qualicus est linea recta.
Sic quanticacis x, qua
per operationem Cra-
ruie, inicium imutabi-
le punctum A, atque ca-
dem illa x per rectam
AB indetinite le exten-
dere incellisatur. Dein-
de ex A ductâ A F ∞C,
faciende cum AB angulum, ip dato vel alsumpeo aut ejuldem
ad binos secsemento aequalem, si ex F agatur LiC ipl
AB parallela, dico eandem FC esse Locum quaelitum.
Ftenim assumpeo in FC puncto urcunque, veluti C, ductaque
CBipli A F Parallela, apparet eandem C B omnes que ipli a qui-
per 34 Mlaes rectae A LC aguales, hoc elt, esse y vc. Ouod erat
primto
demonttrandum.
lH E O R E M A VI.
Propositio 6.
Si xquatio (iEx DC, erit Locus quaesicus linea recta.
In linea AB, gux, uc supra
PTO X CONCCDEa SE, CUIaEuE d
Puncto A longicudo AB aqua-
liscCogmitx, atque ex B in dato
vel asumpeo angulo ducatur
recta BC. dico eandem BC,
indetinite productam, esse L0
cum quaelicum.
Sumpeo enim in eadem pun-
eto