Vitruvius, M. Vitruvii ... de architectura libri decem, ad Augustum Caesarem accuratiß conscripti: & nunc primum in Germania qua potuit diligentia excusi, atq[ue] hinc inde schematibus non iniucundis exornati

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        <div xml:id="echoid-div272" type="section" level="1" n="212">
          <pb o="252" file="0306" n="306" rhead="M. VITRVVII"/>
        </div>
        <div xml:id="echoid-div273" type="section" level="1" n="213">
          <head xml:id="echoid-head217" xml:space="preserve">DE BALISTARVM RATIONIBVS.
            <lb/>
          CAP. XVI.</head>
          <p style="it">
            <s xml:id="echoid-s5318" xml:space="preserve">CATAPVLTARVM rationes ex quib{us} membris & </s>
            <s xml:id="echoid-s5319" xml:space="preserve">portioni
              <lb/>
            b{us} componantur, dixi. </s>
            <s xml:id="echoid-s5320" xml:space="preserve">Baliſtarum autem rationes uariæ ſunt & </s>
            <s xml:id="echoid-s5321" xml:space="preserve">
              <lb/>
            differentes, uni{us} effect{us} cauſa comparatæ. </s>
            <s xml:id="echoid-s5322" xml:space="preserve">Aliæ enim uectib{us} & </s>
            <s xml:id="echoid-s5323" xml:space="preserve">ſucu
              <lb/>
            lis, nonnullæ polyſpaſtis, aliæ ergatis, quædam etiam tympanorum tor-
              <lb/>
            quentur rationib{us}. </s>
            <s xml:id="echoid-s5324" xml:space="preserve">Sed tamẽ nulla baliſta perficitur, niſi ad propoſitam
              <lb/>
            magnitudinem ponderis ſaxi, quod id organum mittere debet. </s>
            <s xml:id="echoid-s5325" xml:space="preserve">Igitur de
              <lb/>
            ratione earum non est omnib{us} expeditum, niſi qui arithmetic is rationi-
              <lb/>
            b{us} numeros & </s>
            <s xml:id="echoid-s5326" xml:space="preserve">multiplicationes habent not{as}. </s>
            <s xml:id="echoid-s5327" xml:space="preserve">Namq; </s>
            <s xml:id="echoid-s5328" xml:space="preserve">fiunt in capitib{us}
              <lb/>
            foramina, per quorum ſpatia contenduntur, capillo maxime muliebri, uel
              <lb/>
            neruo, funes, qui magnitudine ponderis lapidis, quem debet ea baliſta
              <lb/>
            mittere, ex ratione grauitatis proportione ſumuntur, quemadmodum ca
              <lb/>
            tapultis de longitudinib{us} ſagittarum. </s>
            <s xml:id="echoid-s5329" xml:space="preserve">It aq; </s>
            <s xml:id="echoid-s5330" xml:space="preserve">ut etiã qui geometriæ arith-
              <lb/>
            meticæq; </s>
            <s xml:id="echoid-s5331" xml:space="preserve">rationes non nouerint, habeant expeditum, ne in periculo belli-
              <lb/>
            co cogitationib{us} detineantur: </s>
            <s xml:id="echoid-s5332" xml:space="preserve">quæ ipſe faciendo certa cognoui, quæq́
              <lb/>
            exparte accepi à præceptorib{us} finita, exponam: </s>
            <s xml:id="echoid-s5333" xml:space="preserve">& </s>
            <s xml:id="echoid-s5334" xml:space="preserve">quib{us} reb{us} Græ-
              <lb/>
            corum penſiones ad modulos habeant rationem, ad eam ut etiam noſtris
              <lb/>
            ponderib{us} reſpondeant, tradam explicata.</s>
            <s xml:id="echoid-s5335" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div274" type="section" level="1" n="214">
          <head xml:id="echoid-head218" xml:space="preserve">DE PROPORTIONE LAPIDVM MITTEN-
            <lb/>
          dorum ad baliſtæ foramen. CAP. XVII.</head>
          <p style="it">
            <s xml:id="echoid-s5336" xml:space="preserve">NAM quæ baliſta duo pondo ſaxum mittere debet, foramen erit in
              <lb/>
            eius capitulo digitorum. </s>
            <s xml:id="echoid-s5337" xml:space="preserve">v. </s>
            <s xml:id="echoid-s5338" xml:space="preserve">ſi pondo quatuor digitorum. </s>
            <s xml:id="echoid-s5339" xml:space="preserve">vi. </s>
            <s xml:id="echoid-s5340" xml:space="preserve">& </s>
            <s xml:id="echoid-s5341" xml:space="preserve">di
              <lb/>
            gitorũ. </s>
            <s xml:id="echoid-s5342" xml:space="preserve">vij ***. </s>
            <s xml:id="echoid-s5343" xml:space="preserve">decẽ pondo, digitorũ. </s>
            <s xml:id="echoid-s5344" xml:space="preserve">viij *** uigintipõdo digitorũ. </s>
            <s xml:id="echoid-s5345" xml:space="preserve">x***.
              <lb/>
            </s>
            <s xml:id="echoid-s5346" xml:space="preserve">quadraginta põdo, digitorũ. </s>
            <s xml:id="echoid-s5347" xml:space="preserve">xij. </s>
            <s xml:id="echoid-s5348" xml:space="preserve">S. </s>
            <s xml:id="echoid-s5349" xml:space="preserve">K. </s>
            <s xml:id="echoid-s5350" xml:space="preserve">ſexaginta põdo, digitorũ. </s>
            <s xml:id="echoid-s5351" xml:space="preserve">xiij. </s>
            <s xml:id="echoid-s5352" xml:space="preserve">& </s>
            <s xml:id="echoid-s5353" xml:space="preserve">
              <lb/>
            digitioctaua parte *** octuaginta pondo, digitorũ. </s>
            <s xml:id="echoid-s5354" xml:space="preserve">xv ***. </s>
            <s xml:id="echoid-s5355" xml:space="preserve">centũ uiginti
              <lb/>
            põdo pedis. </s>
            <s xml:id="echoid-s5356" xml:space="preserve">is. </s>
            <s xml:id="echoid-s5357" xml:space="preserve">& </s>
            <s xml:id="echoid-s5358" xml:space="preserve">ſeſquidigiti *** centũ & </s>
            <s xml:id="echoid-s5359" xml:space="preserve">ſexaginta põdo, pedũ. </s>
            <s xml:id="echoid-s5360" xml:space="preserve">ii ***. </s>
            <s xml:id="echoid-s5361" xml:space="preserve">
              <lb/>
            centũ & </s>
            <s xml:id="echoid-s5362" xml:space="preserve">octuaginta pondo, pedũ. </s>
            <s xml:id="echoid-s5363" xml:space="preserve">ii. </s>
            <s xml:id="echoid-s5364" xml:space="preserve">et digitorũ. </s>
            <s xml:id="echoid-s5365" xml:space="preserve">v. </s>
            <s xml:id="echoid-s5366" xml:space="preserve">ducẽta põdo, pedum
              <lb/>
            ii. </s>
            <s xml:id="echoid-s5367" xml:space="preserve">et digitorum. </s>
            <s xml:id="echoid-s5368" xml:space="preserve">vi. </s>
            <s xml:id="echoid-s5369" xml:space="preserve">ducenta decem pondo, pedum. </s>
            <s xml:id="echoid-s5370" xml:space="preserve">ii. </s>
            <s xml:id="echoid-s5371" xml:space="preserve">et digitorũ. </s>
            <s xml:id="echoid-s5372" xml:space="preserve">vij***. </s>
            <s xml:id="echoid-s5373" xml:space="preserve">
              <lb/>
            ccl pondo. </s>
            <s xml:id="echoid-s5374" xml:space="preserve">xis. </s>
            <s xml:id="echoid-s5375" xml:space="preserve">Cum ergo for aminis magnitudo fuerit inſtituta, deſcri-
              <lb/>
            batur ſcutula, quæ græcè ϖερίτρη@ς appellatur, cui{us} longitudo forami
              <lb/>
            num. </s>
            <s xml:id="echoid-s5376" xml:space="preserve">ii. </s>
            <s xml:id="echoid-s5377" xml:space="preserve">Fz. </s>
            <s xml:id="echoid-s5378" xml:space="preserve">latitudo, duo & </s>
            <s xml:id="echoid-s5379" xml:space="preserve">ſextæ partis. </s>
            <s xml:id="echoid-s5380" xml:space="preserve">Diuidatur dimidium line æ de-
              <lb/>
            ſcriptæ, & </s>
            <s xml:id="echoid-s5381" xml:space="preserve">cum diuiſum erit contrahãtur extremæ partes ei{us} formæ, ut
              <lb/>
            obliquam deformationem habeat longitudinis ſextam partem, </s>
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