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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 250, page id 1066518432:0278
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E5ODE VLRIBOS ET MOTIBVS CORPORDM. L 1B. II.
cepta relistentia, quam circulus CS subibit in Auido, cujus imprel-
tones ad angulos rectos excipit, quae circuli CS relistentia expo-
nitur crlindro Cx AN circa AP. Ergo resistentia unirersi Frusti co
nici BCSR exponi debet duobus Colidis, scilicet annulo Cx RII
Circa AP, e Cplindro ex AN circa eandem, et (secundum hypo-
thelin) haec duo solida minimum quoddam efficere debent. Sit V
punctum medium ipsius BK, eritque V A distantia ceneri gravitatis
rectanguli BI ab axc AP, adeoque p. AV exprimet circumteren-
tiam, quam centrum graritatis una rec. li conrertione describet cir-
ea DA, ubi p ligniticat exponentem rationis peripheriae circuli ad
radium. Onde cum Colida rocunda (5. 47.) inreniantur ex ductu figu-
ex rotantis circa aliquem axem in riam centriejus graricatis, Factum
ex rec. loBL in p. AV, id est p. AV. CR. BII aquabitur annulo ex
rec. loBL circa AP, peripheria vero, quam centrum graritatis rectan-
suli AN describit, erit ip. AK, adeoque ip. AR.. KN cric valor crlin-
dri CX AN CIrCA AP. AEque adco p. AV. BK. BHI + ip. AR. NR expO-
nit resistentiam quam curriconus BCSR in Auido subibit, ac PrO.
Pterea efficere debet aliquod minimum. Aut etiam annulus ex rectan-
dulo LM CirCA AP rotato debet eNe in TuO generC maximuS, quan-
doquidem praedictorum Colidorum ex RFT Se AN complementum
est ad datum Crlindeum CX QUAdEAEO AMI CIECA AP FOEaTO. Adeo-
que p. OT. TIL. IIM quod solidum annulum illum ex L. MI exprimie,
debet esse maximum. Tam, si dicantur AB, a; AD, 2b, TCu AO et
OD, unaquaeque scorsim b; AF, x; Facili calculo reperietur (0-
lidum p. OI. HIL.. HIM = (∞ = b). 206p: aa + xx, unde omisa quan-
titate conltante in numeratore, quacum indecerminara e -b mulci.
plicata eAt, (~ = b): aa + xex = maximo. TIinc l05. (∞ - b) -108.
aa + XX) = constructio, atque adeo dx: X -b = 2Xd X: aa + Xx, hinc
aa = XX = 2∞ ∞ = 2bX, id eAt, ∞∞ = 2b∞ = aa, vel X ∞ - 2bX + bb = aa
+bb, vel extrahendo radicem x = b = Y (aa + bb), Ceu ∞ = b + V (aa
+ bb). Dux aequatio ipsissimam constructionem suppeditat, quam
Celeb. Nertonus sine analrsi et demonstratione cradidit in Schol.
Dolt PFOD. 35. Lib. ScC. Princ. PBil. Nat. Math. Quae ita habet: Cxe
puncto medio Oaltitudinis AD Fructi conici ducatur OB, cui Xequa-
lis fat OE, eritque P rertex coni quaeliti BL. R.
LIOLODCLLDLLDLMLLRODEEM.
EiB. XX2.
448. Datis Posroi recta CL duobusque punctis A e B, indemie