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# Title: Qua Continentur, Oratio Inauguralis. Mathesis Universalis; sive, Arithmeticum opus Integrum, tum Numerosam Arithmeticam tum Speciosam complectens. Adversus Meibomii, de Proportionibus Dialogum, Tractatus Elencticus (shelfmarks Leibn. Marg. 84:1, Stück 1; Leibn. Marg. 84:1)
# Folio 13, page id 826603459:0459
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=826603459&page=459
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 34 lines, status machine
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DEDICATIO.
in Paraboloide Cubieati C erecta) A
to AP. PR: : 2, B.
adeoque PR. AR: : b. V: B + 2o
Et, quia PR. P a :: 2. 3:: b, 3b.
Frit A P. Pa:: 2. 3b.
I, gnia PR. AR:: BP (=Pa). BC: : b. V: B 2 +L:: 3b. 3Y: b +2,
Erit AP. BC: : F13V: b2 + 1.
FI, Guia PR. Pa :: F , 3.
Frit Pa. Ra :: 3. 2.
Et Ba. R~: : 6, 2: :3, F:
Ereo, quia Ba. Fa:: T~. ra:: Z a. Sa =P e L PX.
Et PC. P X:: L. =. N3. CMt in demonstr. pr aced. )
Adcoq Pa, Sa:: 1. T _ ZV. 3.
Erit Ba = 2 Pa. X a = 35a: : 2. 3 = = Y 5.
Et B∞. BR:: 2. = V3 i 2.
Eret Pa. PX: : 1. = V3 = 2::3b. 3bV3  680
Ideoque AP. PK: : T. 2b V 3 = 6b.
Tu, quia PR. AR:: C Y = P X. OT: : b. V: bEF 1.
:: 2bV 3 = 6b. =V 3 = 6: inN: b +1
Edeo AP. OT:: L. Z V 3 m 9: in V: B2 + 1.
Ereo AP. BF (=BC+OF): : 2. 3V: b = +2. p: = V3, 6: inv: baF 2
: 1. = V 3 _ 3: in V : B = Y +
adeoque AP. C0(= BT + OT):: T. 913 - 9: in V: B = FF.
Tuquia VR. PA :: BX (= P a + PX). XT::
:: b. 1:: 2b~ 3 = 3b. EV 33.
EritAP. XT:: 2. E V 3 = 3.
Et AP. PD(= 2XT):: 1. 9 V 3  6.
ET AP. AD: : 1. 9 V 3  5.
Et quia AR. PR :: 60. DO:: V: b  +L : b.:
:: 9 Y 3 - 9: in V: B = f 2. 9b  3 = 9b.
EreO AP. DO:: 1. 9b N 3 = 9b.
+F
dea