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# Title: [Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo (shelfmark Leibn. Marg. 103)
# Folio 70, page id 85138403X:0078
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 39 lines, status machine
# Lines: 39 recognised, mean confidence 0.84
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DE CLCLOLAF
ecici ex semiconret curra C A circa C F ab eodem plano
sive a Ct recta. cal allimo inguirendum.
A PPF NDTX
 ex WVrennii nostri Dendnstraris de Creloidibus (quae sub
imitussis futut ans 205o miteis quibusdam oltendic) Semiercloidis
curram Axis duplam esse r allumpserim: Iltius demonstracione
prout eam ab eodem D. Christopheroirren, Socio Colleoii Omni-
un Animarum disti, Oxonix, e in Collegio Greshamen(i, Londi-
ni, Altonomix Proteslore, acceperim, visum est hic subjunctam
exAIBCLC
a TarLence Crcloidem primariam.
Lomma.
TEE CircUIUS A OD, DIAmCCeF A D, CanOenS VD, EE OV
censae cuitis D0ad rectos angulos. Dico Tangencem
eRC ArCU OP D majorem. DucatuE TangenS OT. Ouoni-
am aneuli sBC, 1Bo sunc aequales, ergo anguli TOV, TVO TunE
aequales. Frgo VTD aequalis est OT, ID simul Cumpris. Sed iP(x
Or, TD TuPeranE arcum OPD. ErgO VD major eMt ArCU OPD.
II. Tisdem poliris h ducatur u rp e(vel ve ~ 5) cangenci VD
parallela: dico segmencii externum u P, eRe arcu P0, (velv a
arcu  co) majus: segmentum vero incernum De esse arcu p0
(vel eC arCU  C0) minus. Ducatur subcenta P O (vel P ∞) _ P m
(vel  _) Tubrenla ad rectos ansulos. Angutus igItuF OP u vel
aCurus eAt, vel obrusuS uE co n V.
Sic primo obcusus. Ouoniam anguli VDa, ea D TUnE XqUA-
les, _ ve parallela iph VD, ergo Tsolceles est e a E, ergove, 80o
sunc etiam aequales, e quoniam co s s est obcusus ergo cou minoE
eAt ve, _ adhuc minor ip(a vr; sed cum a pe sIE FanGCNS, e
u subrensae ad rectos angulos, ergo demonstrarum est a u, majo-
rem esse arcu oor, ergo vn major elt arcu co n.
Sic secundo ansulus uPO acurUS, ergo in criangulo
Omp, angulus om P est aequalis recto minus angulo M OP;
e in crianoulo exm, angulus rp m, elt aequalis recto
minus angulo uDo: sed angulus uxo est major angulo
u C0, vel ansulom OD: et ang. mop eAt minor angulo M OD,
C1gC
Fi8.F
Ll