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

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7765

THEODOSII

SPHAERICORVM

LIBER TERTIVS.

86[Figure 86]

THEOREMA 1. PROPOS. 1.

SI recta linea circulum in partes inæ-
quales ſecet, ſuper qua conſtituatur re
ctum circuli ſegmentum, quod non
ſit maius ſemicirculo; diuidatur au-
tem ſegmenti inſiſtentis circunferentia in duas in
æquales partes: Recta linea ſubtendens earum mi-
norem, minima eſt linearum rectarum ductarum
ab eodem puncto ad minorem partem circunfe-
rentiæ primi circuli: Rectarum verò ductarum ab
eo ipſo puncto ad circunferentiam interceptam
inter illam minimam rectam, & diametrum, in
quam cadit perpendicularis deducta ab illo pun-
cto ſemper minimæ propior remotiore minor eſt.
Omnium autem maxima eſt ea, quæ ab illo eodẽ
puncto ducitur ad extremitatem eiuſdem diame-
tri: Item recta ſubtendens maiorem circunferen-
tiam ſegmenti inſiſtentis, minima eſt earum, quæ
cadunt in circunferentiam interceptam inter ip-
ſam, & diametrum, ſemperque huic propior

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