Clavius, Christoph
,
Geometria practica
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1 - 30
31 - 60
61 - 90
91 - 120
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211 - 240
241 - 270
271 - 300
301 - 330
331 - 360
361 - 390
391 - 420
421 - 450
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LIBER PRIMV
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menti Horologiorũ confecimus, hoc modo. </
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>
<
s
xml:id
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echoid-s1058
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xml:space
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">Deſcriptis ex A, centro qua-
<
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drantis B C, intra eundem quadrantem aliis 36. </
s
>
<
s
xml:id
="
echoid-s1059
"
xml:space
="
preserve
">quadrantibus æqualiter, ſi pla-
<
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cet, inter ſe diſtantibus, vt venuſtior appareat figura: </
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>
<
s
xml:id
="
echoid-s1060
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xml:space
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">ita vt in vniuerſum ſint
<
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<
note
position
="
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xlink:label
="
note-045-01
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xlink:href
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note-045-01a
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xml:space
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">Quadrantis
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unsure
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<
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conſtructio
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ad m. & ſec
<
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.
<
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cognoſcenda.</
note
>
40. </
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>
<
s
xml:id
="
echoid-s1061
"
xml:space
="
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">quadrantes, quorum extimus in 90. </
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>
<
s
xml:id
="
echoid-s1062
"
xml:space
="
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">gradus more ſolito ſecetur: </
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>
<
s
xml:id
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echoid-s1063
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xml:space
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">proxi-
<
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mus deinde in 128. </
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>
<
s
xml:id
="
echoid-s1064
"
xml:space
="
preserve
">partes æquales, primum videlicet in duas, & </
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>
<
s
xml:id
="
echoid-s1065
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xml:space
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">vtra que pars
<
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rurſus in duas, & </
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>
<
s
xml:id
="
echoid-s1066
"
xml:space
="
preserve
">quęlibet harum quatuor partium iterum in duas, & </
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>
<
s
xml:id
="
echoid-s1067
"
xml:space
="
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">ita
<
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deinceps, donec 7. </
s
>
<
s
xml:id
="
echoid-s1068
"
xml:space
="
preserve
">diuiſiones abſolutæ ſint, atque adeò totus quadrans in
<
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/>
128. </
s
>
<
s
xml:id
="
echoid-s1069
"
xml:space
="
preserve
">partes ęquales diſtributus. </
s
>
<
s
xml:id
="
echoid-s1070
"
xml:space
="
preserve
">Poſt hæc producantur alij quadrantes vltra
<
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/>
ſemidiametrum A B: </
s
>
<
s
xml:id
="
echoid-s1071
"
xml:space
="
preserve
">ille quidem, qui tertius eſt ab extremo B C, vſque ad
<
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/>
gradum 91. </
s
>
<
s
xml:id
="
echoid-s1072
"
xml:space
="
preserve
">extremi quadrantis CB, producti, hoc eſt, vſque ad lineam ex A,
<
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/>
ad gradum 91. </
s
>
<
s
xml:id
="
echoid-s1073
"
xml:space
="
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">ductam @ ſequens deinde vſque ad gradum 92. </
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>
<
s
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="
echoid-s1074
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s1075
"
xml:space
="
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">inſequens
<
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ad gradum 93. </
s
>
<
s
xml:id
="
echoid-s1076
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xml:space
="
preserve
">atque ita deinceps vſque ad alios gradus, ita vt quadrageſi-
<
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mus quadrans vſque ad gradum 128. </
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>
<
s
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="
echoid-s1077
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xml:space
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">producatur. </
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>
<
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xml:space
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">Hiarcus ita producti diui-
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dantur ſinguliin 128. </
s
>
<
s
xml:id
="
echoid-s1079
"
xml:space
="
preserve
">partes ęquales, ſicuti quadrans extimo quadranti pro-
<
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ximus: </
s
>
<
s
xml:id
="
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xml:space
="
preserve
">qua diuiſione peracta, partes ſupra ſemidiametrum A B, reſecentur,
<
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tanquam ſuperuacaneæ.</
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>
<
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</
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<
s
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xml:space
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">2. </
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<
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<
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style
="
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">Qvod</
emph
>
ſi quadrantes vltra ſemidiametrum A B, produci commodè
<
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/>
non poſsint, ob ſpacij anguſtias, inſtituenda erit diuiſio hoc modo. </
s
>
<
s
xml:id
="
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"
xml:space
="
preserve
">In qua-
<
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drante extremo B C, ſumatur ſemiſſis numeri graduum, quem quilibet arcus
<
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productus continere deberet, & </
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>
<
s
xml:id
="
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"
xml:space
="
preserve
">ex A, ad illam ſemiſſem linea occulta duca-
<
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/>
tur. </
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>
<
s
xml:id
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xml:space
="
preserve
">Hęc enim ſecabit quadrantem propoſitum in puncto, vbi arcus produ-
<
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ctus prima diuiſione bifariam ſecaretur. </
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>
<
s
xml:id
="
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xml:space
="
preserve
">Quare ſi arcus inter hoc punctum
<
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& </
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>
<
s
xml:id
="
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xml:space
="
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">ſemidiametrum A C, comprehendens 04. </
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>
<
s
xml:id
="
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xml:space
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">partes ex illis 128. </
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>
<
s
xml:id
="
echoid-s1090
"
xml:space
="
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">totius arcus
<
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/>
producendi, ſecetur bifariam continuè ſex diuiſionibus, parteſque illius in
<
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/>
a@@um interidem punctum, & </
s
>
<
s
xml:id
="
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xml:space
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">ſemidiametrum A B, transferantur, quę tranſ-
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ſ@rri poſſunt, habebuntur in dato quadrante omnes partes, quæ ex illis 128.
<
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/>
</
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>
<
s
xml:id
="
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"
xml:space
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">in quas totus arcus pro ductus diuideretur, in quadrantem cadunt. </
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>
<
s
xml:id
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xml:space
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">Vt ſi di-
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uidendus ſit quadrans M N, vſque ad grad. </
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<
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xml:space
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">104. </
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>
<
s
xml:id
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xml:space
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">producendus, ducemus ad
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grad. </
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<
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">52. </
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<
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">nimirum ad ſemiſſem grad. </
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<
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">104. </
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<
s
xml:id
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xml:space
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">rectam, quę ſecet Quadrantem M N,
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in O. </
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<
s
xml:id
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xml:space
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">Nam ſi arcus O N, continens partes 64. </
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>
<
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="
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xml:space
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">ex illis 128. </
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<
s
xml:id
="
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xml:space
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">totius arcus produ-
<
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cti, ſecetur continuè bifariam ſex diuiſio nibus, parteſque eius in arcum O M,
<
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/>
transferantur, habebuntur omnes partes in quadrantem M N, cadentes, non
<
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/>
ſecus, ac ſi totus arcus productus in 128. </
s
>
<
s
xml:id
="
echoid-s1103
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xml:space
="
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">partes diſtributus eſſet. </
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>
<
s
xml:id
="
echoid-s1104
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xml:space
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">Sic etiam,
<
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/>
ſi quadrans ad gradum 125. </
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>
<
s
xml:id
="
echoid-s1105
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xml:space
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">producendus, diuidendus ſit, ducenda erit linea
<
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occulta ad gradum 62 {1/2} nimirum ad ſemiſſem graduum 125. </
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<
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xml:space
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">Item ſi qua-
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drans D E, 120. </
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<
s
xml:id
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xml:space
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">producendus, diuidendus ſit, ducenda erit linea occulta ad
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gradum 60. </
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<
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">&</
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<
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</
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<
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<
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quadrantibus ita diuiſis duplices numeri aſſcribendi ſunt, pro-
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<
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xlink:label
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quæ
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drantib{us}
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aſſcribend@
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ſint.</
note
>
pe ſemidiametrum quidem A C, numeri quadrantum, vt 1. </
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<
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mum; </
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<
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<
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">iuxta ſequentem; </
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<
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xml:space
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<
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<
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<
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">c. </
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<
s
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="
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xml:space
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">Ita vides quadranti, qui
<
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vſque ad gradum 96. </
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>
<
s
xml:id
="
echoid-s1121
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xml:space
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">productus eſt, appoſitum eſſe numerum 8. </
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>
<
s
xml:id
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xml:space
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">cum is octa-
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uus ſit. </
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>
<
s
xml:id
="
echoid-s1123
"
xml:space
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">Primus enim eſt quadrans B C; </
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>
<
s
xml:id
="
echoid-s1124
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xml:space
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">ſecundus, qui ſequitur, 90. </
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>
<
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xml:id
="
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xml:space
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">graduũ
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Tertius graduum 91. </
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<
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">quartus graduum 92. </
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<
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">quintus graduum 93. </
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>
<
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xml:id
="
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xml:space
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">Sextus
<
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graduum 94. </
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>
<
s
xml:id
="
echoid-s1129
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">Septimus graduum 95. </
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>
<
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xml:id
="
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xml:space
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">& </
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<
s
xml:id
="
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xml:space
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">Octauus graduum 96. </
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>
<
s
xml:id
="
echoid-s1132
"
xml:space
="
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">Sic etiam qua-
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dranti vſque ad grad. </
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>
<
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xml:id
="
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">100. </
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>
<
s
xml:id
="
echoid-s1134
"
xml:space
="
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">preducto cernis aſſcriptum eſſe numerum 12. </
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>
<
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xml:id
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xml:space
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">&</
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>
<
s
xml:id
="
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">c.
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</
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>
<
s
xml:id
="
echoid-s1137
"
xml:space
="
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">At verò iuxta ſemidiametrum A B, numeriillorum graduum ſcribendi ſunt, ad
<
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/>
quos vſque quilibet quadrans extenditur, vt in figura vides. </
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>
<
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="
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