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# Title: Methodus Figurarum Lineis Rectis & Curvis Comprehensarum Quadraturas Determinandi (shelfmarks Leibn. Marg. 135, Stück 1; Leibn. Marg. 135)
# Folio 36, page id 1025220307:0044
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Pheoretacum lonse nobilissimum quo aecernam sibi
Carram acquisirie Gcometrarim Princeps Archimedes;
Duod scilicet superticies Sphaeex sic aequalis quatuor
maximis in ca Circulis. Sic enim = marimo in Sphae-
ra Circulo; at qui ==  ut ab Archimede demonstra-
cum est; Ergo 27 =: dc, e 47 = 2dc; sed jam in-
veneum cst 5 = 2 dc; Ergo 4G = 5. Quod crat de
monstrandum.
L 1CD B.
Superficiem Conoidis Parabolici determinare.
Scor latus rectum Parabolae AMB à cujus rota
, tione conoides producitur, sIE axiS AD, Vertex
A _ vOcetur AF, y; FM x; per mechodum ali-
quam cansentium invenietur PNIq =. ir L ry; vel po.
nendo LZ =2, quia Cupponitur PM =FL, aut frr
Fry = Z Quae elt aquario ad parabolam cujus axis
idem est cum axe parabolae datx AMIB; cujus Verrex
et C, exitente AC = +r; ec latus illius rectum
CFIAM r, IMVeHIETUE ARLD = V ur existente
CD = ∞; Sed s. V:, v = 12:: C. Y. Per Pheorema 3.
ErgOS = V+C2v = T2Y C.