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

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

Table of contents

[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.

[131.] LEMMA.

[132.] SCHOLIVM.

[133.] COROLLARIVM.

[134.] THEOREMA 12. PROPOS 12.

[135.] SCHOLIVM.

[136.] THEOR. 13. PROPOS. 13.

[137.] SCHOLIVM.

[138.] THEOREMA 14. PROPOS. 14.

[139.] FINIS LIBRI III. THEODOSII. AD LECTOREM.

[140.] CHRISTOPHORI CLAVII BAMBERGENSIS E SOCIETATE IESV SINVS, VEL SEMISSES RECTARVM IN CIRCVLO SVBTENSARVM: LINEAE TANGENTES: ATQVE SECANTES.

[141.] CHRISTOPHORI CLAV II BAMBERGENSIS E SOCIETATE IESV SINVS, VEL SEMISSES RECTARVM in circulo ſubtenſarum: LINEÆ TANGENTES, ATQVE SECANTES. PRÆFATIO.

[142.] DEFINITIONES. I.

Page: 112 (100)

[143.] II.

Page: 113 (101)

[144.] III.

Page: 113 (101)

[145.] Vel aliter.

Page: 113 (101)

[146.] IIII.

Page: 113 (101)

[147.] V.

Page: 113 (101)

[148.] VI.

Page: 113 (101)

[149.] VII.

Page: 113 (101)

[150.] LEMMA.

Page: 118 (106)

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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