Full text: Bithynius, Theodosius: Theodosii Tripolitae Sphaericorum libri tres

110. THEODOSII
SPHAERICORVM
LIBER TERTIVS.

077-01

111. 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 remo

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