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# Title: Qua Continentur, Oratio Inauguralis. Mathesis Universalis; sive, Arithmeticum opus Integrum, tum Numerosam Arithmeticam tum Speciosam complectens. Adversus Meibomii, de Proportionibus Dialogum, Tractatus Elencticus (shelfmarks Leibn. Marg. 84:1, Stück 1; Leibn. Marg. 84:1)
# Folio 41, page id 826603459:0487
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Si quadrarum minus sit, exisenda eA aquario ad (lupra me
mOracarum) Regulam Tercium: Si majus, ad Primam; Sin
aequale, ad ucramris; scilicee indifferenter vel ad Terriam vel
ad Primaim.
FAoicaque primo, hujulmodi aequatio r = 27 r = = 26.
(HOc eA, sic 26 = 27h, adeoque 23 =B L AG, et quidem
AO curlum, propter senum : adeoque FG Lg  2
22
22  12
quae relpondec inscripca 06000 Haec cum exi-
genda sic 2d Regulam cerriam
(eKenim +3X 13 F 169, minus
QUaM 9X9X9 = 729,) Scriba-
cur circulus cujus radius (C3 (r2-
dix quadrarica erientis coetticien-
eid 27) hoc est, scribatur circulus
cujus radius xquetur rectae PF
3d. Finic circulo opcetur recta
C = 23 = 28 (quod emergie
ex diritione ouancitatis ablolur
perrriencem cocfficiencis,) hoc
eAt Ae C = =3 d. Prilecris itaque
duobus arcubus quibus ubrenditur C erunc crientum ubcen-
Ea A, F, aequationis dux eadices attirmativa; (nempe 65,
Gs, deorlum;) _  Z   A  C radix nepatira, (hoc
eA CS LurLam.) Ec quidem A = Z V1O5 = Z G s intima,
F = + = Cs deortum media, = L = = Z V10G in Z L
Os Tartum.
Ec quidem idem omnino accideret si posica etset aequatio
r3 = 27 r = + 26, (quod herec si recta cransissee canco intra
vereicem quanto illic lupro, hoc est propo punctum P, cui in-
Ccripcae liceras Cuas non appolui ne nimia. sic contulio,) nili
quod cunc radices quae prius ernne attirmacirx jam eAenEneBE-
cire, e conera; adeoque criom radicum, sive rectarum GS
Os, Cs, maxima, _ quidem ea Tola, dcortum cenderet, reli-
quae duae sursum.
Acque hoc quidem continsit, quo ries hminus eA quam 2 d;
hoc est quories G incidic vel incer A P, rel incer, A ∞. POsicO
Ccilicee, A ∞  A F = 2d.
Elocuum aequaciohujusmodi r  27r L F 454 (hoc est
B = 5 2Z A C deorsum: DUTa A B.) Exisenda est HaeC X
quacio
DEDICATIO:
minus, ani aequale, 4: Sive h majus, minue, an aequale 2.