Theodosius <Bithynius>; Clavius, Christoph - Theodosii Tripolitae Sphaericorum libri tres

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10896 modo, quoniam ſimiles ſunt arcus BN, Gk, erit BE, alteri polo propior ma-
ior, quàm vt ſimilis ſit arcui Gk, ab eodem polo remotiori. Itaque ſi in ſphæ-
ra maximus circulus aliquẽ circulum tangat, & c. Quod erat demonſtrandum.

FINIS LIBRI III. THEODOSII.

AD LECTOREM.

POTERVNT, ſi placet, hæ duæ figuræ tribus illis propoſitionis
ſecundæ lib. 3. adiungi, vt omnes caſus lineæ perpendicularis FL, per-
ſpiciantur. In prima namque harum figurarum ſegmentum inſiſtens

112[Figure 112] AFB, eſt ſemicircu-
lus, caditq́, perpendicu
laris FL, intra ſegmen
tum ADB: In poſte-
riore autẽ eadem FL,
in ipſam circunferen-
tiam ADB, cadit,
exiſtente eodem ſegmen
to inſiſtente AFB, ſe-
micirculo; quemadmo-
dum & in tertia figura dictæ propoſitionis idem ſegmentum inſiſtens
AFB, ſemicirculus eſt, linea́ perpendicularis FL, extra ſegmentum
ADB, cadit. Hoc, benigne lector, te latere noluimus.

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