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

Table of contents

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[101.] SCHOLIVM.
[102.] I.
[103.] II.
[104.] III.
[105.] IIII.
[106.] V.
[107.] THEOREMA 20. PROPOS. 22.
[108.] THEOR. 21. PROPOS. 23.
[109.] FINIS LIBRI I I. THEODOSII.
[110.] THEODOSII SPHAERICORVM LIBER TERTIVS.
[111.] THEOREMA 1. PROPOS. 1.
[112.] THEOREMA 2. PROPOS. 2.
[113.] THEOREMA 3. PROPOS. 3.
[114.] THEOREMA 4. PROPOS. 4.
[115.] LEMMA.
[116.] THEOR. 5. PROPOS. 5.
[117.] THEOREMA 6. PROPOS. 6.
[118.] LEMMA.
[119.] THEOR. 7. PROPOS. 7.
[120.] THEOREMA 8. PROPOS. 8.
[121.] LEMMA. I.
[122.] LEMMA. I I.
[123.] THEOREMA 9. PROPOS. 9.
[124.] SCHOLIVM.
[125.] I.
[126.] II.
[127.] III.
[128.] THEOREMA 10. PROPOS. 10.
[129.] COROLLARIVM.
[130.] THEOR. 11. PROPOS. 11.
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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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