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# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 130, page id 834940469:0214
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=214
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 38 lines, status machine
# Lines: 38 recognised, mean confidence 0.89
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

430
05, 04,03, exancecedences arque recta02 superat rectam
FPCxCCNUI AO, _ recta O5 suPerat rectam FH excessu OF,
ee rectaOZ superat rectam LSexcelu CO;igitur rectae O2
O5OZ. superant rectas FPr FN FSCKCCNU AO  OF
DC: recta quoque FX superat rectam O3 exceNuOD, de
recta FV superac rectam O4 exceHu OB; d id coFYL. FV lu
perac (3, F.O4 exceNu OD.OB; Cumque in Perie quancica-
cum C2 f. O5 .OB FiP  F. N FS, FYuf. FV, 03, F. O4, sum
ina extremorum 02.65+F. OZ 1f. 03,7.04 sic aequalis sum-
mae mediorum FPFcFNofLhFY if LV; eric differencia in-
terprimam ee le cundam nempeOA,.DF.F. DC aequalis dif-
terencia inter cerriam e quarram nimirum OB of. OD, quod
demonttrandum crat.
P RO P. 70. Y H EO R F M A.
Si circulus parabolam in pluribus punctis secuerit, e quibus in axem
ex viraque parte rectae perpendiculares demittantur; erit ea ab
ona parte axis equalis illis ab altera parte: quod si ab utraque
parte in duobus panctisillam secet; erunt similiter duae ab vna
parce simul aequales duabus ab altera parre simul.
Teparabola B ABC C quam secer circulus in punctisP,
 A, B, C3 quorum nullum cA paraBOlXVerTCK. a pun-
AisP, A, B, C. demictuntur in axem eidem ordinarim appli
CAFK AIE, BX, MC, PH: dico ordinacim applicacas exrna
parte axis nempe AII, PH, aequales esse ordinacim applica.
eis ex altera parce axisnimirum rectis BX, CM. Producan-
currectae PA, BC, donec concurrant in D; erirque rectansu-
lum BDC aequale rectangulo ADP, ee igitur rectae parabO.
Lum PABC C cangenteSparallela rectISDC, DP, aequales
crunt, quae isitur se mutuoincerlecene in parabolx axc, ta-
ciences cum eidem ordinacim opplicaristriangula isoscella;
_ IgItUFDP, DC
nrubolilis parallelae Faciune cum eisdem ordi-
x hinc si in segmentis, AP et BC discribantur trian-
gula maxima, ATB, BVC, recta YV bisecabitur al
Aatim
exe parabolae. inquiratur in pliarum curvarum quas
circulus in pluribus punctis secat, respondentes proprietates