Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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æqualis eſt angulo alterno _
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;_ </
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<
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H,_ quæ
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quidem æqualis eſt lateri _
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K._ </
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<
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">34 primi.</
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gulo rectangulo eſt sinus complementi anguli acuti sibi adiacentis, nempe sinus com-
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plementi illius arcus, cuius alterum latus est sinus rectus. </
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<
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gulo rectã-
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gulo latus
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recto angu
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lo oppoſi-
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tũ ſit ſinus
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totus, erit
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vttumui re
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liquorum
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alterum la
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tus ſinus re
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ctus eſt.</
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etangulo _
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,_ latus _
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K,_ eſt sinus complementi anguli _
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K,_ siue arcus _
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A,_ cuius
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sinui recto _
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H,_ alterũ latus _
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K,_ æquale eſt. </
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K,_ æquale estipsi _
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H,_ si-
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nui complementi anguli _
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K,_ siue arcus _
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,_ cuius alterum latus _
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K,_ sinus rectus
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eſt. </
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<
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">SI in circulo recta linea è centro ducta aliam rectam non per cen
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trum ductam bifariam ſecet, ſecabit eadem & </
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<
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">arcum, cui illa recta
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è cẽtro du-
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cta ſecans
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aliam rectã
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bifariã ſe-
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cat quoque
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arcum, cui
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illa, ſubten
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ditur, bifa-
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tiam: Et cõ
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tra.</
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ſubtenditur, bifariam: </
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ctam ei ſubtenſam bifariam.</
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Dico eandem ſecare quo
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que arcum FG, bifariã
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in A, & </
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enim recta EG; </
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duo latera EF, EH, triã
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guli EFH, æqualia ſunt
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duobus lateribus EG,
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EH, trianguli EGH,
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vtrumq; </
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HF, baſi HG, ponitur
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æqualis; </
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FEH, angulo GEH,
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æqualis. </
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AF, arcui AG, æqualis
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erit. </
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<
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recta EA, arcum FG,
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bifariam in A. </
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GEH, æquales. </
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duobus lateribus EG, EH, trianguli EGH, æqualia ſint; </
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ſes HF, HG, æquales. </
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ſecare quoque rectam FG, bifariam in H; </
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