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

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[471.] PROBL. 9. PROPOS. 13.
[472.] SCHOLIVM.
[473.] FINIS TRIANGVLORVM RECTILINEORVM.
[474.] CHRISTOPHORI CLAVII BAMBERGENSIS ESOCIETATE IESV TRIANGVLA SPHÆRICA.
[475.] CHRISTOPHORI CLAVII BAMBERGENSIS E SOCIETATE IESV TRIANGVLA SPHÆRICA. PRÆFATIO.
[476.] DEFINITIONES. I.
[477.] II.
[478.] III.
[479.] IIII.
[481.] VI.
[482.] VII.
[483.] VIII.
[484.] IX.
[485.] PROBLEMA I. PROPOSITIO I.
[486.] THEOR. 1. PROPOS. 2.
[487.] THEOR. 2. PROPOS. 3. IN omni triangulo ſphærico, duo latera reli-quo ſunt maiora, quomodocunque aſſumpta.
[488.] THEOR. 3. PROPOS. 4.
[489.] THEOR. 4. PROPOS. 5.
[490.] COROLLARIVM.
[491.] THEOR. 5. PROPOS. 6.
[492.] THEOR. 6. PROPOS. 7.
[493.] THEOR. 7. PROPOS. 8.
[494.] COROLLARIVM.
[495.] THEOR. 8. PROPOS. 9.
[496.] COROLLARIVM.
[497.] PROBL. 2. PROPOS. 10.
[498.] THEOR. 9. PROPOS. 11.
[499.] THEOR. 10. PROPOS. 12.
[500.] THEOR. 11. PROPOS. 13.
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352340 non neceſſarias reiecimus, & alias non paucas
ab eo omiſſas ex Gebro Hiſpalenſi, Ioanne Re-
giom.
Franciſco Maurolyco, & ex alijs adie-
cimus, quas omnino neceßarias eſſe iudic aui-
mus ad res Aſtronomicas intelligendas.
Ple-
run{que} etiam nouas demonſtrationes, eas{q́ue} bre-
uiores, ac faciliores adhibuimus, nonnullas item
eodem modo demõſtrauimus, quoeædem de an-
gulis, &
triangulis rectilineis demonſtratæ ſunt
ab Euclide, vt planior fieret earum demonſtra-
tio:
ex quarum numero ſunt propoſ. 5. 6. 7. 8.
& 9. Non parumtamen operæin eo poſuimus,
vt omnes propoſitiones triangulorum Sphærico-
rum it a in ordinem redigeremus, vt poſteriores
ex prioribus penderẽt, quemadmodum res Ma-
thematicæ poſtulant, &
in omnibus elementis
Geometricis fieri conſueuit Sed iam ad rem ve-
niamus, exordio ſumpto à definitionibus.
DEFINITIONES.
I.
ANGVLVS ſphæricus eſt, quem in ſphærę
11Angulus
fphæricus
quid.
ſuperficie duo arcus circulorum maximorum ſe-
ſe mutuo ſecantes continent.
_QVONIAM_ angulus ſphæricus, qui à Geometris in ſphærica ſuperficie conſia
deratur, ab arcubus maximorum circulorum tantummodo conſtituitur, omnes

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