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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                  puncta rectangula, hoc eſt vna vncia cum .6. punctis rectangulis. </s>
                  <s xml:id="echoid-s4879" xml:space="preserve">Deinde ex
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                  multiplicatione vnciarum .2. ſecundi lateris, cum .3. trabuchis primi lateris, produ-
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                  centur .6. vnciæ. </s>
                  <s xml:id="echoid-s4880" xml:space="preserve">Ex multiplicatione poſtea dictarum .2. vnciarum ſecundi lateris
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                  cum .2. pedibus primi, producentur .8. puncta.</s>
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                      <xhtml:th xml:space="preserve">Trabucha.</xhtml:th>
                      <xhtml:th xml:space="preserve">pedes.</xhtml:th>
                      <xhtml:th xml:space="preserve">vnciæ.</xhtml:th>
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                      <xhtml:td xml:space="preserve">3.</xhtml:td>
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                      <xhtml:td xml:space="preserve">6.</xhtml:td>
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                  <s xml:id="echoid-s4881" xml:space="preserve">Demum ex ijſdem .2. vncijs ſecundi lateris cum .3. primi, producentur .12. atto-
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                  mi, ideſt vnum punctum. </s>
                  <s xml:id="echoid-s4882" xml:space="preserve">Quæ omnia collecta facient trabucha .8. pedes .3. uncias
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                  2. & attomi .3. omnes rectanguli oblongi. </s>
                  <s xml:id="echoid-s4883" xml:space="preserve">Pulcherrima profecto operatio.</s>
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                    <xhtml:th xml:space="preserve">Trabucha.</xhtml:th>
                    <xhtml:th xml:space="preserve">pedes.</xhtml:th>
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                    <xhtml:td xml:space="preserve">3.</xhtml:td>
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                  <s xml:id="echoid-s4884" xml:space="preserve">Videamus nunc exercitij cauſa, vt dixi, quomodo conueniat calculus iſte cum
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                  calculo ordinario communi?</s>
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                  <s xml:id="echoid-s4885" xml:space="preserve">Nam quotieſcunque dicta latera, fracta fuerint in vncias, primum latus erit
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                  vnciarum .243. ſecundum autem .182. productum vero vnius in alterum erit vn-
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                  ciarum quadratarum .44 226. quod quidem productum cum diuiſum fuerit per
                    <num value="5184">.
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                    5184.</num>
                  vncias quadratas vnius trabuchi quadrati, prouentus erit .8. trabucho-
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                  rum, reliquus verò numerus, ſiue fractus, erit vnciarum quadratarum .2754. qui
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                  cum diuiſus fuerit per numerum .144. vnciarum vnius pedis quadrati, prouenient
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                  pedes .19. quadrati cum vncijs .18. ſuperabundantibus, dicti autem pedes .19. ſignifi-
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                  cant tres pedes rectangulos oblongos cum vno pede quadrato, hoc eſt cum duabus
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                  vncijs rectangulis oblongis, vt ſupra.</s>
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                  <s xml:id="echoid-s4886" xml:space="preserve">Videndum nunc eſt, vtrum illæ .18. vnciæ æquipolleant tribus punctis rectangu-
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                  lis oblongis: </s>
                  <s xml:id="echoid-s4887" xml:space="preserve">ſed hoc manifeſtè videre eſt, ex hoc, quia quęlibet vncia rectangula
                    <lb/>
                  oblonga componitur ex .72. quadratis, punctum autem rectangulum oblongum,
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                  ſit duodecima pars ipſius vnciæ rectangulæ oblongæ, ipſum componetur ex .6. vn-
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                  cijs quadratis .18. igitur vncijs quadratis, triplum erit ipſius puncti rectanguli dicti.
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                  <s xml:id="echoid-s4888" xml:space="preserve">Vnde clarè patet, quod, quotieſcunque voluerimus ſcire proportionem ipſarum vn
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                  ciarum quadratarum ſuperabundantium, ad punctum rectangulum oblongum, ſi
                    <lb/>
                  dixerimus ex regula de tribus, ſi .72. (vncia rectangula oblonga) dat .18. quid
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                  12? </s>
                  <s xml:id="echoid-s4889" xml:space="preserve">puncta rectangula oblonga, quarum vnaquæque eſt duodecima pars ipſius vn-
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                  ciæ rectangulæ oblongæ, in præſenti autem caſu prouenient .3. pro quarto termino
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                  quæſito, & habebimus propſitum.</s>
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