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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 302, page id 175905688X:0324
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302
Sic cum in luperiori aequatione x 3 ∞ X 300 x L 1200, vel
∞ 38 OX X = 300 ∞ =720000, triginta sine numeri, ultimum
terminum +200 ab (que fractione diridentes, aeque hinc dirilio
vel sexaxies esercentanda, antequam certo constaret, Problema
ese Solidum; Sciendum est non opus esse nilLeres vel GuatuOF ex
iis considerare, ut 4, 75, ec 20, atque reliquos insuper habere.
Duemadmodum ex sequencibus fiec manifestu.
FFenim (I NIIerUS 30O Vo-
CCTUT P, EE MUIMeTUS IZOO VOCC
cur q. de juxtaid, quod docetur
pa5. 93, circulus describatur
FGNV, cujus radiusFFI(E LO,
utpore ∞ V = P, & in eo recta
inscribatur L6 ∞ 12, quippe
2037 ac deinde sirguli aicus
FMO, FNC, _ CLR in
eies aequales partes diridantur
Pet rectAS FM, FN, XFL: de
sienabune dux rectae F MI _ F. NV quanciratem utriulque Falla ra-
dicis, _ FL quanticatem verx. Adeo ut, ad eligendos divilores,
qui ad ae quationem diridendam utiles censeri postune, opus ean-
cum sic considerare eos, qui inventis lineis FM, PN, X FL quam
proxime accedune, nulla reliquorum habita ratione: adeoque di
visionem centandam tantum esse per X. L + ∞ O, vel per X F X5 ∞O,
vel per x = 20∞0. AC proinde cum centat ầ dirilione aliquid su-
verlic: Sequitur, Problema, quod ad ae quationem propositam per.
ducitur, ese Solidum, nec ultam radicem sire reram sive Callam,
quae numero exprimi queac, admittere; sed omnes esse irratio.
nales, carum que ralorem esse exprimendam per quantitatem li
nearum diCtaru FMI, FN, _CFL.
Eodem modo Shabeatur X3 ∞ X - L 30ON  7209, Vel ∞3 80
XX = 300X- F +20030: deEcripto rursuS circulO FG H, cujus
radius FFI(C 10 Icu V Z P, in quo inscripea recta FO ∞ 12 seu
E Secentur singuli arcUS F M C, F NC, ee C L. R in tres ~.
quales parces, designabune FM, F.N ucramque reram radicem, et
FL Fallam. Adeduc, cum dirisio ae quationis x3 B O NN  300V
L 1250
F R A H C ZS OF aISIC A OO RE H