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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 351, page id 175905688X:0373
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=373
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AA OUA YTONAM RESOLUTTOHE.
35I
adiametrum circuli referat, b autem in eodem inscripeam GF.
atque diamerer omnium rectarum circulo inscripearum = SIE Ia-  per 15
xima. UInde sia5 aequetur ; a + bb, tunc quoque inscripta C F X- teriii Elem.
qualis erit diametro PR: ica ut eo calu dua liae linex coincidant,
aC Cade AIaE quatiO aC (I TCIICITCMIIFETeNTIA F G K IN ErCS X-
quales parces lecanda Foret. Quo quidem calu radix quae (Ita F L
tit latus crianguli ae quilateri, eodem circulo inlcripei.
F quibus plana tiune illa, qua ad explicationem radicis lupra-
dictie aequationis +(3) ∞ 13 (2) f F2 Albertus Cirardus in me-
dium aftert. Ubi inter 4: (tertiam partemm ip (iuS F3) Q unitatem,
mediam proportionalem invenier 42, camque Cemidiamerrum
circuli SaEMIE F HI, qua utradioipsum describit, ac in co deinde
lincam PC adaptat aequalem 275 (quotienti ridelicet dirisionis
T2 PeT 42). In quo porro tritariam secando arcum C K in punctis
TuL, jungendoque FL, dit FL esse ralorem radicis quae (IEX L (Y)
aequationis propolicae. Dicens praeterea alios duos valores iplius
D, Per = expresos, delignari per rectas FMI, FN, eosque duo-
busmodis inveniri. Suxta priorem quidem, si 2 Centro tI ec in- ut in fe.
Terrallo L K arcuS desCribAEUT NI N, SCCANS F L in MI _ N; TUXTa pac. 348.
Posteriorem rero, describendo in circulo a puncto L triansu- 2 ut in fiz.
lum aequilaterum LM N, jungendoque FM d FN. IIlas enim pas. 347.
utroque modo ealdem inveniri, ex lupra demonstratis manite-
Ctum est.
UIbi praeterea notat in aequatione +(3) ∞ F3 D = +2 OAten (O5
valores prioris aequationis radici quaesitae propolitae x quationis
Latistacere, si tantum eorum (igna- L Xc = iimutaveriuS, Ca-
que denOTaVCTIUIS PeF = FL, F FM, dc- L F N. Sed hoc ex le-
quentibus perspicuum fiet. Ouemadmodum eriam illud, quod
Spectat ad aequationes secunda tormula, quas inquit neminem ad
Cuum ulque tempus relolvere scirisse, quae secundum Analy sin
Speciolam VietX Ita denOLANEUE:
a cubus aqualis F BB7
F BC  in a FB
L CCS
Lc F in BC.
Duoteoe ccidit ac si carundem conlticutionem lic agno-
Sceres, conciperesque e duobus laceribus puta B e C, Facta esse
eria proportionalia plana BB, BC e C C, quorum aggregatum
sic BB. F BC + C C, seu quantirasp; et quod tir ex medio
PlanO