Clavius, Christoph, Geometria practica

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          <note style="it" position="right" xml:space="preserve">
            <pb file="016" n="16" rhead="INDEX."/>
          XLV. Spatium terræ inæquale pro ducendis aquis librare: aut {et}iam, ſilubet, Ho-
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          rizonti æquidiſtans eff
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          icere. # 153
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          </note>
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        <div xml:id="echoid-div10" type="section" level="1" n="10">
          <head xml:id="echoid-head12" xml:space="preserve">QVARTI LIBRI CAPITA.</head>
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          I. De area Rectangulorum. # 157
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          II. De area Triangulorum. # 158
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          III. De area Quadrilaterorum non rectangulorum. # 169
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          IIII. De area multilaterarum figurarum irregularium. # 171
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          V. De area multilaterarum figurarum regularium. # 175
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          VI. De dimenſio
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          ne circuli ex Archimede. # 181
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            <emph style="sc">Propositio</emph>
          I. Area cuiuslibet circuli æqualis eſt triangulo, cuius vnum
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          quidemla@us circa angulum rectum ſemidiametrum circuli, alterum verò pe-
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          ripheriæ eiuſdem circuli æquale eſt. # 182
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            <emph style="sc">Iosephi
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            </emph>
          Scaligeri error hoc in loco. # 184
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            <emph style="sc">Propositio</emph>
          II. Cuiuslibet circuli peripheria tripla eſt diametri, & ad-
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          huc ſuperat parte, quæ quidem minor eſt decem ſeptuageſimis, hoc eſt, ſeptima
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          parte diametri, maior verò decem ſeptuageſimis primis. # 185
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            <emph style="sc">Corollarivm.</emph>
          Diameter per 3 {1/7}. multiplicata gignit numerum maio-
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          rem circumferentia: multiplicata verò per 3 {10/71}. facit numerum circumferen-
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          tia minorem. E contrario circumferentia diuiſa per 3 {1/7}. procreat numerum mi-
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          norem diametro: diuiſa verò per 3 {10/71}. producit numerum diametro maio-
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          rem. # 191
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            <emph style="sc">Propositio</emph>
          III. Circulus quilibet ad quadratum diametri proportio-
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          nem habet, quam 11. ad 14. proximè. # 191
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          VII. De area circuli, in@entioneque circumferentiæ ex diam{et}ro & diam{et}ri ex
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          circumferentia. # 192
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            <emph style="sc">Propositio</emph>
          I. Circulorum diametri inter ſe ſunt, vt circumferentiæ. # 194
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            <emph style="sc">Propositio</emph>
          II. Proportio quadrati ex diametro cuiuslibet circuli deſcri-
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          pti ad circuli aream maior eſt, quam 14. ad 11. minor autem, quam 284.
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          ad 223. # 195
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            <emph style="sc">Propositio</emph>
          III. Proportio quadrati à circumferentia circuli cuiuſuis
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          deſcripti ad circuli aream maior eſt, quam 892. ad 71. minor autem, quam 88.
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          ad 7. # 196
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          VIII. De area ſegmentorum circuli. # 199
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          I. Data circuliarea, circumferentiam, ac diametrum cognoſcere. # 201
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          II. Dato arcu cuiuſuis circuli, diametrũ circuli in numeris inueſtigare. # 201
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          III. Datis diametris duorum circulorum, vel circumferentiis: Aut duobus
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          lateribus homologis duarum figurarum ſ
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          imilium, ſimiliter que poſitarum; quam
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          proportionem circuli, vel figuræ inter ſe habeant, cognoſcere. # 201
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          IIII. Datis pluribus circulis, quorum diametri, vel circumferentiæ cognitæ
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          ſint: Item pluribus figuris ſimilibus, ſimiliter que poſitis, quarum latera homo-
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          loga ſint nota; inuenire diametrum, vel circumferentiam, cuius circulus omni-
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          bus circulis propoſitis æqualis ſit: Item latus reperire, cuius figura ſimilis, ſimi-
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          literque poſita, æqualis ſit omnibus propoſitis figuris. # </note>
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