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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 5, page id 85138403X:0021
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 40 lines, status machine
# Lines: 40 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.

L CLCDLVE.
FrunE anguli omnes HV _ ZE8, BB8, _c. Xqualestum inter
se, cum angalo L. n A, cum eriam cuitibet angulorum A F L, l F M,
M F B, _C. qui icem (PrOPTer aquAleS aECUS FL, L M, M D, EEC.)
Cune inter se aequales.
25. Ductis porro cum in Crcloide rectis NO, Z P, BR, EC.
cum in circulon O, 2P, DF; QC. inscribacur cum Cveloidi F-
sura ex Traperiis, cum circulo figura ex Priangulis correspon-
dentibus COnEAHS.
26. Frunt aurem illa Prapezia, Triangulorum horum respe-
etire sumprorum, ubique plusquam cripla. Constat enim quod-
libet Frapeziorum, ex Triangulo Cimul ec Paratlelogrammo:
quorum illud, criangulo correspondenti in circulo (uc ex dictis
Facile collisitur) ubique aequale est; hoc. illius (ue jam octen-
deCUE) Plusquam duplum.
27. Nam, verbi gracia, in Traperio ONvF, Triangulum
On F est uerique tigurx commune; _ Parallelogrammum N n P
aequialcum) plusquam duplum Trianguli, proprer rectam Nn
hoc eltCurvam nC, majorem n O recta.
28. Sin aliud TUMatUE TraPerIUM, DUCAPZGV; Fric inibi
Triangulum Pr ~, triangulo p F Z aequale; & Parallelogram-
u ZEr r Dlusquam duplum, Dropter rectam Z X, hoc eAt
C. V, hoc elt CUrVaM ZH, MajOreM quaI Z P, vel X P. Nam si
aPcetUE chorda ZH; erit angulus D F X (propter tum semipe
ripheriam CZ F, cum angulum rectum C F A, in (EX PAETeS ~
quales divisum) = anguli recti; adeoque angulus X DF, hO5
est Z DN 3 recti; cui s addatur angulus nZ D, qui est 3 recti,
(subcendie urique duplo arcus Z C, mInuS ZH;) aggregatum d
recti ex 2 rectis subductum, relinquer angulum 2n P, = recti-
Major icaque est angulus Z Dn angulo Z H P, (RemDe uE 5 ad 4,)
adeoque lacus oppolitum 2 n recta, major quam Z D; ideoque à
Forciori, 2n curra, hoc elt recta Z. r, mulco major eric quam
secta Z D, hOC CA N P. PE Similicer OltendeEUr C INSCTIPEX
chorda b2) aneulum b F Z majorem esse angulo b Z P, (nempe
UE 42d 3,) e sic alibi. Nempe, universaliter, ( DONAIUS AF
cum semicirculi CF, adeoque angulum rectum CF A, dividi
in Partes aequales mimeros; quarum arcus 2C, adeoque ec an-
gulus Z FC, COnTIHCAE PArTeS numero n, (adeoque anguluS P FC
PAEteS B= L, _ PFOPTCrCA anGUIUS Y PL, hOC CA ZD B, PAPTCS
S- n