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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            <div xml:id="echoid-div622" type="section" level="3" n="25">
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                <pb o="320" rhead="IO. BAPT. BENED." n="332" file="0332" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0332"/>
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              <div xml:id="echoid-div624" type="letter" level="4" n="2">
                <head xml:id="echoid-head485" style="it" xml:space="preserve">De Horologio perpendiculari ad oriz ontem rectum.</head>
                <head xml:id="echoid-head486" xml:space="preserve">AD EVNDEM.</head>
                <p>
                  <s xml:id="echoid-s3900" xml:space="preserve">MOdus quem tibi ſcribere promiſi delineandi lineas horarias communes in
                    <lb/>
                  pariete perpendiculariter ad orizontem rectum, declinantem à meridiano,
                    <lb/>
                  ſumendus eſt ex .46. cap. meæ gnomonicæ, hocſcilicet ordine.</s>
                </p>
                <p>
                  <s xml:id="echoid-s3901" xml:space="preserve">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="echoid-s3902" xml:space="preserve">Sitq́ue
                    <var>.e.t.</var>
                  communis ſectio muri cum ori-
                    <lb/>
                  zonte, et
                    <var>.g.n.</var>
                  ſit gnomon perpendicularis ipſi muro, vnde ex dictis in mea gnomo-
                    <lb/>
                  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-
                    <lb/>
                  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-
                    <lb/>
                  cum
                    <var>.G.e.</var>
                  deſignetur vna medietas circuli verſus
                    <var>.e.</var>
                  cuiuſuis magnitudinis, quæ di-
                    <lb/>
                  uiſa in .12. partes ęquales, ſignificabit
                    <reg norm="medietatem" type="context">medietatẽ</reg>
                  æquatoris,
                    <reg norm="protrahanturque" type="simple">protrahanturq́;</reg>
                  lineæ oc
                    <lb/>
                  cultæ à centro
                    <var>.G.</var>
                  per ſectiones circunferentię dimidij circuli, quæ fignificabunt
                    <reg norm="con" type="context">cõ</reg>
                    <lb/>
                  munes ſectiones æquatoris cum circulis horarijs communibus, quo facto oportet, vt
                    <lb/>
                  à puncto
                    <var>.t.</var>
                  protrahatur
                    <var>.t.s.</var>
                  ad rectos cum murali orizontali, quæ quidem
                    <var>.t.s.</var>
                  ſignifi-
                    <lb/>
                  cabit communem ſectionem æquatoris cum muro propoſito, & erit ęquędiſtans me
                    <lb/>
                  ridianæ murali ex .6. vndecimi Eucli. eo quod ex .19. eiuſdem
                    <reg norm="vnaquæque" type="simple">vnaquæq;</reg>
                  illarum, per
                    <lb/>
                  pendicularis eſt tali orizonti. </s>
                  <s xml:id="echoid-s3903" xml:space="preserve">Videantur nunc puncta communia iſti
                    <var>.t.s.</var>
                  & occultis
                    <lb/>
                  protractis à centro
                    <var>.G.</var>
                  medietatis circularis, per quæ puncta protrahantur à puncto
                    <var>.
                      <lb/>
                    e.</var>
                  tot lineæ, punctum enim
                    <var>.e.</var>
                  ſignificat punctum axis mundi, & meridianæ in mu-
                    <lb/>
                  ro propoſito, eo quod in tali ſitu ſphæræ rectæ, dictum punctum reperitur in orizon
                    <lb/>
                  re, cum
                    <var>.M.s.</var>
                  non ſolum ſit meridiana orizontalis, ſed etiam axis mundi, </s>
                  <s xml:id="echoid-s3904" xml:space="preserve">deinde nul
                    <lb/>
                  li dubium eſt quin meridiana muralis ſit perpendicularis orizontali murali
                    <var>.e.t.</var>
                  à
                    <lb/>
                  puncto
                    <var>.e</var>
                  . </s>
                  <s xml:id="echoid-s3905" xml:space="preserve">Sed quia dimidium
                    <lb/>
                    <figure xlink:label="fig-0332-01" xlink:href="fig-0332-01a" number="356">
                      <image file="0332-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0332-01"/>
                    </figure>
                  harum
                    <reg norm="linearum" type="context">linearũ</reg>
                  horariarum erit
                    <lb/>
                  ſub orizontali
                    <var>.e.t.G.</var>
                  alterum
                    <lb/>
                  vero
                    <reg norm="dimidium" type="context">dimidiũ</reg>
                  ſupra ipſam, opor
                    <lb/>
                  tet quod quę ſupra ſunt produ-
                    <lb/>
                  cantur à parte .oe. ſub orizonta-
                    <lb/>
                  li, ab alia parte meridianæ, &
                    <lb/>
                  talis erit effigies horologij mura
                    <lb/>
                  lis in hoc ſphęrę ſitu, hoc eſt ver
                    <lb/>
                  ſus quartam orientalem auſtra-
                    <lb/>
                    <reg norm="lemque" type="simple">lemq́;</reg>
                  , vnde orizontalis
                    <var>.e.t.</var>
                    <lb/>
                  erit ſemper horæ .6. matutinæ,
                    <lb/>
                  ſecunda verò ab ipſa erit horæ.
                    <lb/>
                  7. tertia
                    <reg norm="autem" type="context">autẽ</reg>
                  horæ .8. & ſic dein-
                    <lb/>
                  ceps.</s>
                </p>
                <p>
                  <s xml:id="echoid-s3906" xml:space="preserve">Quotieſcunque verò angu-
                    <lb/>
                  lus
                    <var>.n.g.e.</var>
                  minor erit maxima
                    <lb/>
                  Solis declinatione, & Sol fuerit
                    <lb/>
                  in parte auſtrali ab æquatore
                    <reg norm="cum" type="context">cũ</reg>
                  </s>
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