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]

Table of contents

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[5.1.7. SEPTIMVM. Euclidis uerò undecima propoſitio.]
[5.1.8. OCTAVVM. εuclidis uerò duodecima propoſitio.]
[5.1.9. NONVM. Euclidis uero tertiadecima propoſitio.]
[5.1.10. DECIMVM.]
[5.1.11. VNDECIMVM.]
[5.1.12. DVODECIMVM.]
[5.2. None]
[5.2.1. THEOR.I. II. ET III.]
[5.2.2. THEOREM. IIII.]
[5.2.3. THEOR.V. ET VI.]
[5.2.4. THEOR. VII. VIII. IX.X. XI. XII. XIII.]
[5.2.5. THEOREM. XIIII.]
[5.2.6. THEOR. XV.]
[5.2.7. THEOREM. XVI.]
[5.2.8. THEOR. XVII.]
[5.2.9. THEOREM. XVIII.]
[5.2.10. THEOREM. XIX.]
[5.2.11. THEOREM. XX.]
[5.2.12. THEOREM. XXI.]
[5.2.13. THEOREM. XXII. XXIII.]
[6. PHYSICA, ET MATHEMATICA RESPONSA. FO. BAPTISTAE BεNεDICTI PATRITII Veneti, Philoſophi Mathematici.]
[6.1. None]
[6.2. None]
[6.3. None]
[6.4. None]
[6.5. None]
[6.6. None]
[6.7. None]
[6.8. None]
[6.9. None]
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              <div xml:id="echoid-div489" type="letter" level="4" n="4">
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                <head xml:id="echoid-head370" xml:space="preserve">DE LVCERNA SPIRITALI QVAM SERENISS.
                  <lb/>
                Sabaudiæ Duce
                  <var>.D.</var>
                meo collendiſs. anno .1570. conſtruxi.</head>
                <head xml:id="echoid-head371" style="it" xml:space="preserve">CLARISS. FRANCISCO BARBARO VENETORVM
                  <lb/>
                apud Sereniſſimum Sabaudiæ Ducem Oratori Illuſtriſſimo.</head>
                <p>
                  <s xml:id="echoid-s2777" xml:space="preserve">
                    <emph style="sc">HEron</emph>
                  varias ac diuerſas hydraulicas, & ſpiritales machinas propoſuit, in
                    <lb/>
                  ter quastamen nullam ſimilem, ei
                    <reg norm="quam" type="context">quã</reg>
                  ego Sereniſſimo Sabaudiæ Duci
                    <lb/>
                  conſtruxi, deſcribit, quæ quidem fuit Lucerna, & erat huiuſmodi, vt à
                    <lb/>
                  magno aliquo vaſe oleo pleno ſupra alicuius triclinij tabulatum poſito,
                    <lb/>
                  ſubtilis quidam tubus perpendi-
                    <lb/>
                    <anchor type="figure" xlink:label="fig-0237-01a" xlink:href="fig-0237-01"/>
                  culariter per tabulatum exiret,
                    <lb/>
                  & in dictum triclinium vſque ad
                    <lb/>
                  medium deſcenderet, ita tamcn
                    <lb/>
                  vt hic ſolus tubus, non item
                    <lb/>
                  vas oleo plenum cerneretur, cu-
                    <lb/>
                  ius
                    <reg norm="quidem" type="context">quidẽ</reg>
                  tubi inferiori extremi-
                    <lb/>
                  tati iunctum eſſet quoddam par-
                    <lb/>
                  uum receptaculum olei, ſimile co
                    <lb/>
                  operculo alicuius pyxidis, è cuius
                    <lb/>
                  ambitu prope baſim multi diuer-
                    <lb/>
                  ſi quæ tubi æquales & orizonta-
                    <lb/>
                  les, cuiuſuis longitudinis proſili-
                    <lb/>
                  rent, quorum quilibet in extremi
                    <lb/>
                  tate ſua, exiguam quandam pyra
                    <lb/>
                    <reg norm="midem" type="context">midẽ</reg>
                  ,
                    <reg norm="appensam" type="context context">appẽsã</reg>
                  haberet, in qua elli
                    <lb/>
                    <reg norm="chnum" type="context">chnũ</reg>
                  eſſet
                    <reg norm="cum" type="context">cũ</reg>
                  mixo. </s>
                  <s xml:id="echoid-s2778" xml:space="preserve">
                    <reg norm="oleum" type="context">oleũ</reg>
                  deinde
                    <lb/>
                  medio
                    <reg norm="perpendicularis" type="simple context">ꝑpẽdicularis</reg>
                  tubi ad rece
                    <lb/>
                    <reg norm="ptaculum" type="context">ptaculũ</reg>
                  extrinſece deſcendebat,
                    <lb/>
                  & per alios tubos ad nutriendas
                    <lb/>
                  flammas dum
                    <reg norm="arderent" type="context">arderẽt</reg>
                  ferebatur:
                    <lb/>
                  </s>
                  <s xml:id="echoid-s2779" xml:space="preserve">at vero
                    <reg norm="cum" type="context">cũ</reg>
                  eædem erant extinctæ
                    <lb/>
                  ne minima quidem olei gutta de
                    <lb/>
                  ſcendebat: </s>
                  <s xml:id="echoid-s2780" xml:space="preserve">id quod eos qui aſta-
                    <lb/>
                  bant in admirationem trahebat.</s>
                </p>
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                  <figure xlink:label="fig-0237-01" xlink:href="fig-0237-01a">
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                  </figure>
                </div>
                <p>
                  <s xml:id="echoid-s2781" xml:space="preserve">Hæcautem lucerna ſic erat
                    <reg norm="con" type="context">cõ</reg>
                    <lb/>
                  ſtructa. </s>
                  <s xml:id="echoid-s2782" xml:space="preserve">Vas
                    <reg norm="olearium" type="context">oleariũ</reg>
                  cylindricum
                    <lb/>
                  vt in ſubſcripta figura patet, cuiuſ
                    <lb/>
                  uis magnitudinis, omni ex parte
                    <lb/>
                  clauſum faciendum curaui, ita ta
                    <lb/>
                  men vt eius coopereulum
                    <reg norm="aliquam" type="context">aliquã</reg>
                    <lb/>
                    <reg norm="tulum" type="context">tulũ</reg>
                  concauum eſſet, in cuius me
                    <lb/>
                  dio erat foramen
                    <var>.e.</var>
                  quod erat os
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                  tubi
                    <var>.e.g.</var>
                  qui ſub
                    <reg norm="eiuſdem" type="context">eiuſdẽ</reg>
                  vaſis fun-
                    <lb/>
                  do vſque ad
                    <var>.g.</var>
                  tranſibat, ſed po-
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                  ſtea ſurſum, quaſi
                    <reg norm="vſque" type="simple">vſq;</reg>
                  ad cooper
                    <lb/>
                  culum in ſitu
                    <var>.c.</var>
                  ab inferiori parte
                    <lb/>
                  reflectebatur, & ibi
                    <reg norm="terminabatur" type="simple">terminabat̃</reg>
                  .</s>
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