Clavius, Christoph, Geometria practica

Table of contents

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[11.] QVINTI LIBRI CAPITA.
[12.] SEXTI LIBRI PROPOSITIONES.
[13.] SEP TIMI LIBRI Propoſitiones.
[14.] FINIS.
[15.] PRÆFATIO.
[16.] GEOMETRIÆ PRACTICÆ. LIBER PRIMVS. Tria capita ad dimenſionem linearum ſum-me neceſſaria complectens.
[17.] INSTRVMENTI PARTIVM Conſtructio, atque vſus. CAPVT I.
[18.] CAPVT II.
[19.] SEQVITVR TABELLA.
[20.] PROBLEMATA VARIA TRIANGV-lorum rectilineorum. Capvt III.
[21.] TRIANGVLORVM RECTILINEORVM RECTAN-gulorum problemata. I. PROPORTIONES LATERVM
[22.] II. LATVS.
[23.] III. LATVS.
[24.] IIII. LATVS.
[25.] V. BASEM.
[26.] VI. BASEM.
[27.] VII. ANGVLVM.
[28.] VIII. ANGVLVM.
[29.] TRIANGVLORVM RECTILINEO-rum obliquangulorum Problemata. IX. SEGMENTA LATERIS A Perpendiculari facta.
[30.] X. LATERA DVO.
[31.] Rurſus
[32.] XI. LATVS.
[33.] XII. LATVS.
[34.] Deinde.
[35.] Hæc autem tangens hoc etiam modo inuenietur, qui priori præferendus videtur.
[36.] Poſt hæc.
[37.] XIII. LATVS.
[38.] XIIII. ANGVLOS DVOS.
[39.] XV. ANGVLOS DVOS.
[40.] XVI. ANGVLOS OMNES TRES. Ex tribus omnibus lateribus perueſtigare.
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          V. Aream propoſitæ Ellipſis indagare. # 202
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          VI. Aream propoſitæ Parabolæ inueſtigare. # 203
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        <div xml:id="echoid-div11" type="section" level="1" n="11">
          <head xml:id="echoid-head13" xml:space="preserve">QVINTI LIBRI CAPITA.</head>
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          I. De area Parallelepipedorum, Priſmatum, & Cylindrorum. # 204
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          II. De area Pyramidum, & Conorum. # 206
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          III. De Area fruſti Pyramidis, & Coni. # 207
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          SCHOLIVM. De area variorum ſolidorum. # 209
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          IV. De Area quinque corporum Regularium. # 210
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          V. De Area ſphæræ, inuentio
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          neque ſuperficiei conuexæ eiuſdem ſphæræ. # 218
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            <emph style="sc">Propositio</emph>
          I. Quam proportionem habent duæ quælibet partes ali-
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          quotæ magnitudinis cuiuſcunque, eandem habent duæ ſimiles partes alterius
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          cuiuſuis magnitudinis. # 218
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            <emph style="sc">Propositio</emph>
          II. Rectangulum ſub diametro, & circumferentia maxi-
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          mi circuli in ſphæra comprehenſum, quadruplum eſt circuli maximi, & ſuper-
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          ficiei conuexæ eiuſdem ſphæræ æquale. # 219
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            <emph style="sc">Propositio</emph>
          III. Eadem eſt proportio quadrati circumferentiæ circu-
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          limaximi in ſphæra ad ſuperficiem ſphæræ, quæ circumferentiæ maximi circuli
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          ad diametrum. Item eadem eſt proportio quadrati diametri maximi circuli in
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          ſphæra ad ſuperficiem ſphæræ, quæ diametri ad circumferentiam eiuſdem circu-
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          li maximi. # 220
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            <emph style="sc">Propositio</emph>
          IV. Quadratum circumferentiæ circuli maximi in ſphæra
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          ad ſuperficiem ſphæræ conuexam, maiorem proportionem habet, quam 223. ad
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          71. minorem vero, quam 22. ad 7. # 221
            <lb/>
            <emph style="sc">Propositio</emph>
          V. Quadratum diametri circuli in ſphæra maximi ad ſu-
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          perficiem ſphæræ conuexam, maiorem proportionem habet, quam 7. ad 22.
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          minorem vero, quam 71. ad 223. # 221
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            <emph style="sc">Propositio</emph>
          VI. Proportio cubi ex circumferentia maximi in ſphæra
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          circuli deſcripti ad ſphæram, maior eſt, quam 298374. ad 5041. minor autem,
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          quam 2904. ad 49. # 221
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            <emph style="sc">Propositio</emph>
          VII. Cubus diametri ſphæræ ad ſphæram, maiorem pro-
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          portionem habet,
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          quam 21. ad 11. minorem verò, quam 426. ad 223. # 222
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          VI. De Area ſegmentorum ſphæræ. # 229
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          VII. De Area ſphæroidis, eiuſdemque portionum. # 232
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          VIII. De Area Conoidis Parabolici. # 232
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          IX. De Area Conoidis Hyperbolici. # 233
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          X. De Area Doli
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          orum. # 233
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          XI. De Area corporum omnino regularium. # 234
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          XII. De ſuperficie conuexa coni, & cylindri recti. # 235
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