Benedetti, Giovanni Battista de
,
Io. Baptistae Benedicti ... Diversarvm specvlationvm mathematicarum, et physicarum liber : quarum seriem sequens pagina indicabit ; [annotated and critiqued by Guidobaldo Del Monte]
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IO. BAPT. BENED.
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0332
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<
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xml:space
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">AD EVNDEM.</
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>
<
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<
s
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xml:space
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">MOdus quem tibi ſcribere promiſi delineandi lineas horarias communes in
<
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pariete perpendiculariter ad orizontem rectum, declinantem à meridiano,
<
lb
/>
ſumendus eſt ex .46. cap. meæ gnomonicæ, hocſcilicet ordine.</
s
>
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<
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<
s
xml:id
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xml:space
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">Sit exempli gratia, orizon hic ſubſcriptus. or. oc
<
var
>.M.S.</
var
>
diuiſus à meridiana
<
var
>.M.
<
lb
/>
S.</
var
>
et verticali ſeu æquinoctiali. or. oc. </
s
>
<
s
xml:id
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xml:space
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">Sitq́ue
<
var
>.e.t.</
var
>
communis ſectio muri cum ori-
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/>
zonte, et
<
var
>.g.n.</
var
>
ſit gnomon perpendicularis ipſi muro, vnde ex dictis in mea gnomo-
<
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/>
nica, cognoſcemus in ipſa murali orizontali totam
<
var
>.e.t.</
var
>
inter meridianam orizonta-
<
lb
/>
lem, & æquinoctialem orizontalem, cognoſcemus etiam partem
<
var
>.g.t.</
var
>
ipſius æ-
<
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/>
quinoctialis orizontalis, quam quidem accipiamus in rectitudine ipſius muralis ori
<
lb
/>
zontalis, quæ quidem ſit
<
var
>.t.G.</
var
>
quo facto erigatur
<
var
>.G.A.</
var
>
ad rectos cum
<
var
>.G.t.e.</
var
>
& cir-
<
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/>
cum
<
var
>.G.e.</
var
>
deſignetur vna medietas circuli verſus
<
var
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var
>
cuiuſuis magnitudinis, quæ di-
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uiſa in .12. partes ęquales, ſignificabit
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æquatoris,
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type
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lineæ oc
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cultæ à centro
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>.G.</
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per ſectiones circunferentię dimidij circuli, quæ fignificabunt
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munes ſectiones æquatoris cum circulis horarijs communibus, quo facto oportet, vt
<
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à puncto
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>.t.</
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>
protrahatur
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ad rectos cum murali orizontali, quæ quidem
<
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>.t.s.</
var
>
ſignifi-
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cabit communem ſectionem æquatoris cum muro propoſito, & erit ęquędiſtans me
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ridianæ murali ex .6. vndecimi Eucli. eo quod ex .19. eiuſdem
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illarum, per
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pendicularis eſt tali orizonti. </
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xml:space
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& occultis
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protractis à centro
<
var
>.G.</
var
>
medietatis circularis, per quæ puncta protrahantur à puncto
<
var
>.
<
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e.</
var
>
tot lineæ, punctum enim
<
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>.e.</
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>
ſignificat punctum axis mundi, & meridianæ in mu-
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ro propoſito, eo quod in tali ſitu ſphæræ rectæ, dictum punctum reperitur in orizon
<
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re, cum
<
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>.M.s.</
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>
non ſolum ſit meridiana orizontalis, ſed etiam axis mundi, </
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<
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xml:space
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li dubium eſt quin meridiana muralis ſit perpendicularis orizontali murali
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>
à
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puncto
<
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>.e</
var
>
. </
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harum
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horariarum erit
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ſub orizontali
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alterum
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vero
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ſupra ipſam, opor
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tet quod quę ſupra ſunt produ-
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cantur à parte .oe. ſub orizonta-
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li, ab alia parte meridianæ, &
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talis erit effigies horologij mura
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lis in hoc ſphęrę ſitu, hoc eſt ver
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ſus quartam orientalem auſtra-
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, vnde orizontalis
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erit ſemper horæ .6. matutinæ,
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ſecunda verò ab ipſa erit horæ.
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7. tertia
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horæ .8. & ſic dein-
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ceps.</
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lus
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>
minor erit maxima
<
lb
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Solis declinatione, & Sol fuerit
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in parte auſtrali ab æquatore
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