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

Table of contents

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[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.
[143.] II.
[144.] III.
[145.] Vel aliter.
[146.] IIII.
[148.] VI.
[149.] VII.
[150.] LEMMA.
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112100 atque Iohanne Regiomontano, demonſtrationes
colligam, quibus omnium arcuum ſinus &
chor-
das cognitas babeamus, vt &
tabulas Sinuum,
ac chordarumiam à multis ſcriptoribus ſuppu-
tatas examinare, (facile enim error in numero-
rum impreßione committitur) &
nouas alias,
quandores tulerit (poſito Sinu toto vel diame-
tro quotcunq;
particularum) condere poßimus.
QVONIAM vero Recentiores ſumma
felicitate ex ſinubus alias lineas collegerũt, nimi-
rum Tangentes, atque Secantes, vt facilius
quædam, ac breuius demonſtrarent;
de biſce e-
tiam lineis agemus.
Habent enim lineæ hæ egre-
gium vſum in rebus Aſtronomicis &
Geome-
tricis, vt ex noſtris triangulis planis, ac sphæri-
cis fiet per ſpicuum.
Initium autem ſumemus à
definitionibus.
DEFINITIONES.
I.
COMPLEMENTVM arcus alicuius, eſt
11Comple-
mentũ at-
ous quid.
exceſſus, quo quadrans eum ſuperat, ſi arcus mi-
nor eſt quadrante, vel ab eo ſuperatur, ſi eſt qua-
drante maior.

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