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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 324, page id 175905688X:0346
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=346
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324
FR A N CESCF d SCHOOFEN
eadem que quantitas a in earundem aequationum terminis lubro
pari semper polc, cridens est, iplam unius ejuldemque Parabo-
lae ope construi posse. Idem incellisendum quoque elt de aequa
cionibus numericis erium quatuorre dimentionum, quarum nulla
ex radicibus est rationalis, quarum que ralor smiliter per le-
etionem Conicam est determinandus. CTc supra fuie ostensum.
Cacerum uc haec regula cuiris perspecta reddatur, concipiatur
ram p. 86 Parabola ehe descripea LAC, cujus latus rectum lit ∞ a seu F, d
vel 89.
in aXC ejuS ADR L allumpea AD ∞b, Fingatur ex D eidem
perpendicularis esse crecta D F ∞6, centroque F interrallo F H
∞ d descriptus circulus FFIC, qui Parabolam ab utraque parte
axis secet in (, d F: Oporreatque inreltisare aequarionem, cujus
radix sic perpendicularis OX auEFL. ∞Z.
Ad quam inreniendam, diridatur 2Z, quadracum ex CK, per
lacus reCtuM SCUa _E AE AK D =2. F qua subducta AD ∞ b, rC.
linguetur DR seu F M ∞ = -b. Deinde, quoniam addiris E. D,
hoc elt, MR, _ R C, cota M C CA ∞c- F Z; _ quadrata ex FM
e MC Simul addica Faciane
quadratum ex P C: erir =
aa
= 2b22 + bb + CC + = 6. 2 = Zky
b2 2
hoc est, ordinatâ aequalitare, habebitur aequatio
2+ ∞ X +  abZ2 =  aac2 F a a d d. Fadem quippe, quxe in
ad
=a a bb
a a 66
venitur, ponendo F L D - Z. Flinc BI, exempli cau(5a, aequatio
propolita construenda tueric Z + ∞ X - L ap ZZ = a a g Z F a 3Y:
erit, Cacta separatim comparatione inter lingulos terminos unius
et lingulos alterius, b ∞ = F P, 6 ∞ 5 9, ec
d∞V =aa = ; ap. F + pP F + 49. F ar. Ouod illud iptum esto
quod Authoris regula Faciendum praecipie. Fodem modo re-
liquorum caluum constructio inveniri porest. Idem intellige
de constructione aequationis paeur 97, aliarum que hic lequen.
tium.
Adeoue haec regula omnium, quas aliquis exoptare queat,
cereralissima sit es perfectissima.) Ouoniam autem, quo pacto
Solida
Vide figr-
7V