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

Table of contents

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[11.] DEFINIT IONES. I
[12.] II.
[13.] III.
[14.] IIII.
[15.] V.
[16.] SCHOLIVM.
[17.] VI.
[18.] THEOREMA 1. PROPOS. 1.
[19.] COROLLARIVM.
[20.] HOCEST.
[21.] PROBL. 1. PROPOS. 2.
[22.] DATAE Sphæræ centrum inuenire.
[23.] COROLLARIVM.
[24.] THEOREMA 2. PROPOS. 3.
[25.] COROLLARIVM.
[26.] THEOREMA 3. PROPOS. 4.
[27.] THEOREMA 4. PROPOS. 5.
[28.] THEOREMA 5. PROPOS. 6.
[29.] THEOREMA 6. PROPOS. 7.
[30.] THEOREMA 7. PROPOS. 8.
[31.] SCHOLIVM.
[33.] II.
[34.] THEOR. 8. PROPOS. 9.
[35.] THEOR. 9. PROPOS. 10.
[36.] SCHOLIVM.
[38.] COROLLARIVM.
[39.] II.
[40.] COROLLARIVM.
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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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