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# Title: Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio (shelfmark Leibn. Marg. 84:2)
# Folio 2, page id 824573315:0022
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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 0.90
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SC
De aneulo contacttus
cadere possie, ducatur ad illam perpendicularis cZ centro
CB
CFC; quoniam isicur angulus rectus CCA major est acuto
CAF (uc qui pars eA recti C,AP,) cBeE, Per 1D CY, laTUSC C
minus quam C A, hoc eA, mminus quam C F, pars luI. PaPS
32 _ 43 sequuntur ex Cccunda.
Occatione Cumpta ab hac Fuclidis Propolitione, graris orca
est concrorertia (quod mirum est, in repure Geometrica,) in-
rer Pelecarium &e Clavium; quae, quod sciem, nondum anani-
miMachemacicorum contenta decerminacionem naeta eAt.
Primus, quod Eciam, Delecarius alteruie, Aneulum qui dicieur
Contactus. Ceu concinsentia, non esse revera anculum, nec omni-
no Duantitarem; led Rectam, qux Circulum cangic, cum Peri
Pheria coincidere, non aurem ad illam inclinari; Angulum au
cem Semicirculi omminathectum esse, es recto rectilineo aqua-
leM.
Concra Clarius asseric, illum vere angulum esse, ee quidem
ouancitacem in intinicum dirilibilem, non quidem per lineam
rectam, ac Calrem per Peripherium majoris circulii minorem ca-
men quam estullus reccilincus pollibilis: Angulum rero Semi-
circuli minorem esse angulo recto rectilineo, majorem canien
quovis rectilinEO ACUEO.
Controversiam hanc ab Fuclide dirempram non esse.
FILud autem eso primum praemonendum esse indico; C on.
crovertiam hanc ab Puclide dirempeam non esse, (quan-
quam ex illius principiis dirimi polle non dubicem.) Probac e-
nim Puclides, de recte quidem, Angulum lemicirculi majorem
esle omniAcuto rectilineo; an verotie Recto reccilinco rel mi
nor vel aequalis, non dicic: utrumvis autem dicacur, mance
Fuclidei dicti rericas, modo non sic acuro minor: ICem, Ansu.
lum contactiis (nem pe liguis (ic) minorem elle omnirectilinco,
quia lcilicet nec aequalis, nec major est; ac veco, an sit omnino
quancitas necne, non dicie, nec quidem, sidixillee, posser allaca
demonstracio id contirmare: nam es illud quod allerie verom
mance, eriam ( suppolicus ilie aneulus concactiis nihit HIC; quod
enim omnino nihil ett, eA cerce omni policira quancieale minuIS.