Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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tem eiuſdem prioris illius arcus, cuius ſecantem ſubduxiſti Item ſi tangentem cuiuſ@
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libet arcus ex eiuſdem ſecante detrahas, remanebit tangens ſemiſsis complementi
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arcus eiuſdem. </
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<
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<
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<
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<
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tangentem cuiuſuis arcus ſimul æquales eſſe tangenti arcus compoſiti ex illo, & </
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ſemiſſe complementi eiuſdem. </
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<
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relinquat alteram illá tangentem. </
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monſtrauimus, ſeca ntem cuiusuis arcus æqualem eſſe tangenti eiuſdem, vna cum tan-
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gente ſemiſsis complementi arcus eiuſdem. </
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<
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poſt ſubtractionem alterius illius tangentis ex ſecante. </
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<
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compoſiti ex arcu grad. </
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ſſe complementi eiuſdem, relinquetur tangens
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3639703. </
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ex 10863603 ſecante eiuſdem arcus ſubducamus, remanebit tangens 6618855. </
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cus grad 33. </
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<
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ſi 11547004. </
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<
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qui ex arcu grad. </
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<
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quetur tangens 5773504. </
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<
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demamus ex 10154264. </
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<
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arcus grad. </
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<
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<
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<
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<
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<
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nium arcuum quadrantis per ſingula Minuta extenſorum inueſtigemus; </
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<
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earum beneficio per ſolam additionem ſecantes omnium arcuum per bina minuta pro-
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gredientium, ſi mmirum tangentem cuiuſuis arcus minuta numero paria habentis
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addamus ad tangentem ſemiſsis complementi arcus eiuſdem: </
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<
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cuiuſuis arcus æqualis eſt tangenti eiuſdem, vna cum tangente ſemiſsis complementi
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<
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eiuſdem; </
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menta ſemiſſes habere, Exempli cauſa, ſi deſideretur ſecans arcus Min. </
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<
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<
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tangentem 5818. </
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<
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<
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<
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plementi arcus dati Min. </
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<
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<
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Min. </
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<
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<
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17188033689. </
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<
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<
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dati grad. </
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<
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<
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<
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<
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<
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xml:id
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</
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<
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<
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<
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<
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tes arcuum minuta numero imparia habentium, quoniam eorum complementa ſemiſ-
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ſes non habent, niſi ad Secunda venire velimus, inueſtigandæ erunt, vt propoſ. </
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<
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eiuſq; </
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<
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</
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<
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tangente arcus compoſiti ex ar cu illo, & </
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<
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<
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vt demonſtrauimu, ſecans cuiuſuis arcus, vnà cum tangente eiuſdem æqualis ſit tan-
<
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<
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xlink:label
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huius.</
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genti arcus compoſiti ex dato arcu, & </
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<
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<
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gens dati arcus ex tangente arcus ex eo, & </
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>
<
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">ſemiſſe complementi compoſiti ablata re-
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linquat ſecantem eiuſdem dati arcus. </
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>
<
s
xml:id
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">Vt ſi cupiamus ſecantem arcus Min. </
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<
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>
<
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">aufere-
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mus 5818. </
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<
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xml:id
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">tangentem ipſius ex 10005820. </
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>
<
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xml:id
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xml:space
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">tangente arcus grad. </
s
>
<
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xml:id
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xml:space
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">45. </
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>
<
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">Min. </
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<
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">1 cõpoſiti ex
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arcu Min. </
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<
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">2. </
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<
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">& </
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<
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">ex arcu grad. </
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>
<
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">44. </
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>
<
s
xml:id
="
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="
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<
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">59. </
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<
s
xml:id
="
echoid-s8412
"
xml:space
="
preserve
">qui ſemiſsis eſt complementi arcus dati
<
lb
/>
Min. </
s
>
<
s
xml:id
="
echoid-s8413
"
xml:space
="
preserve
">2 Relictus namque numerus 10000002 erit ſecans arcus dati Min. </
s
>
<
s
xml:id
="
echoid-s8414
"
xml:space
="
preserve
">2. </
s
>
<
s
xml:id
="
echoid-s8415
"
xml:space
="
preserve
">Ita quoq;
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s8416
"
xml:space
="
preserve
">ſi velimus habere ſecantem arcus grad. </
s
>
<
s
xml:id
="
echoid-s8417
"
xml:space
="
preserve
">60. </
s
>
<
s
xml:id
="
echoid-s8418
"
xml:space
="
preserve
">ſubducemus 17320508. </
s
>
<
s
xml:id
="
echoid-s8419
"
xml:space
="
preserve
">eius tangentem
<
lb
/>
ex 37320514. </
s
>
<
s
xml:id
="
echoid-s8420
"
xml:space
="
preserve
">tangente arcus grad. </
s
>
<
s
xml:id
="
echoid-s8421
"
xml:space
="
preserve
">75. </
s
>
<
s
xml:id
="
echoid-s8422
"
xml:space
="
preserve
">compoſiti ex dato arcu grad. </
s
>
<
s
xml:id
="
echoid-s8423
"
xml:space
="
preserve
">60. </
s
>
<
s
xml:id
="
echoid-s8424
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s8425
"
xml:space
="
preserve
">ex </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>