Clavius, Christoph, Geometria practica

Table of contents

< >
[Item 1.]
Page: 0
[2.] CHRISTOPHORI CLAVII BAMBER- GENSISE SOCIETATE Iesv. GEOMETRIA PRACTICA.
Page: 5
[3.] Cum gratia & Priuilegio Sac. Cæſ. Maieſtat. Superiorum Permiſu. Mogvntia, Ex Typographeo lOANNIS Albini. ANNO M. DC. VI.
Page: 5
[4.] Perillvstri Ac Generoso D. GEORGIO FVGGERO SENIORI BARONI IN KIRCHBERG, ET VVEISSENHORN Chriſtophorus Clauius è Societate IESV S.P.D.
Page: 7
[5.] Romæ pridie Idvs Septemb. cIↄ. cI. CIIII.
Page: 9
[6.] Clavdivs Aqvaviva Societatis Iesv Præpoſitus Generalis.
Page: 10
[7.] INDEX CAPITVM, PROBLE-MATVM, AC PROPOSITIONVM HORVM VIII. LIBRORVM. PRIMI LIBRI CAPITA.
Page: 11
[8.] SECVNDI LIBRI PROBLEMATA.
Page: 11
[9.] TERTII LIBRI PROBLEMATA.
Page: 13
[10.] QVARTI LIBRI CAPITA.
Page: 16
[11.] QVINTI LIBRI CAPITA.
Page: 17
[12.] SEXTI LIBRI PROPOSITIONES.
Page: 18
[13.] SEP TIMI LIBRI Propoſitiones.
Page: 19
[14.] FINIS.
Page: 27
[15.] PRÆFATIO.
Page: 29 (1.)
[16.] GEOMETRIÆ PRACTICÆ. LIBER PRIMVS. Tria capita ad dimenſionem linearum ſum-me neceſſaria complectens.
Page: 33 (3)
[17.] INSTRVMENTI PARTIVM Conſtructio, atque vſus. CAPVT I.
Page: 34 (4)
[18.] CAPVT II.
Page: 44 (14)
[19.] SEQVITVR TABELLA.
Page: 48 (18)
[20.] PROBLEMATA VARIA TRIANGV-lorum rectilineorum. Capvt III.
Page: 74 (44)
[21.] TRIANGVLORVM RECTILINEORVM RECTAN-gulorum problemata. I. PROPORTIONES LATERVM
Page: 74 (44)
[22.] II. LATVS.
Page: 75 (45)
[23.] III. LATVS.
Page: 75 (45)
[24.] IIII. LATVS.
Page: 75 (45)
[25.] V. BASEM.
Page: 75 (45)
[26.] VI. BASEM.
Page: 75 (45)
[27.] VII. ANGVLVM.
Page: 76 (46)
[28.] VIII. ANGVLVM.
Page: 76 (46)
[29.] TRIANGVLORVM RECTILINEO-rum obliquangulorum Problemata. IX. SEGMENTA LATERIS A Perpendiculari facta.
Page: 76 (46)
[30.] X. LATERA DVO.
Page: 76 (46)
< >
page |< < of 450 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div9" type="section" level="1" n="9">
          <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-
            <lb/>
          rizonti æquidiſtans eff
            <unsure/>
          icere. # 153
            <lb/>
          </note>
        </div>
        <div xml:id="echoid-div10" type="section" level="1" n="10">
          <head xml:id="echoid-head12" xml:space="preserve">QVARTI LIBRI CAPITA.</head>
          <note position="right" xml:space="preserve">
            <lb/>
          I. De area Rectangulorum. # 157
            <lb/>
          II. De area Triangulorum. # 158
            <lb/>
          III. De area Quadrilaterorum non rectangulorum. # 169
            <lb/>
          IIII. De area multilaterarum figurarum irregularium. # 171
            <lb/>
          V. De area multilaterarum figurarum regularium. # 175
            <lb/>
          VI. De dimenſio
            <unsure/>
          ne circuli ex Archimede. # 181
            <lb/>
            <emph style="sc">Propositio</emph>
          I. Area cuiuslibet circuli æqualis eſt triangulo, cuius vnum
            <lb/>
          quidemla@us circa angulum rectum ſemidiametrum circuli, alterum verò pe-
            <lb/>
          ripheriæ eiuſdem circuli æquale eſt. # 182
            <lb/>
            <emph style="sc">Iosephi
              <unsure/>
            </emph>
          Scaligeri error hoc in loco. # 184
            <lb/>
            <emph style="sc">Propositio</emph>
          II. Cuiuslibet circuli peripheria tripla eſt diametri, & ad-
            <lb/>
          huc ſuperat parte, quæ quidem minor eſt decem ſeptuageſimis, hoc eſt, ſeptima
            <lb/>
          parte diametri, maior verò decem ſeptuageſimis primis. # 185
            <lb/>
            <emph style="sc">Corollarivm.</emph>
          Diameter per 3 {1/7}. multiplicata gignit numerum maio-
            <lb/>
          rem circumferentia: multiplicata verò per 3 {10/71}. facit numerum circumferen-
            <lb/>
          tia minorem. E contrario circumferentia diuiſa per 3 {1/7}. procreat numerum mi-
            <lb/>
          norem diametro: diuiſa verò per 3 {10/71}. producit numerum diametro maio-
            <lb/>
          rem. # 191
            <lb/>
            <emph style="sc">Propositio</emph>
          III. Circulus quilibet ad quadratum diametri proportio-
            <lb/>
          nem habet, quam 11. ad 14. proximè. # 191
            <lb/>
          VII. De area circuli, in@entioneque circumferentiæ ex diam{et}ro & diam{et}ri ex
            <lb/>
          circumferentia. # 192
            <lb/>
            <emph style="sc">Propositio</emph>
          I. Circulorum diametri inter ſe ſunt, vt circumferentiæ. # 194
            <lb/>
            <emph style="sc">Propositio</emph>
          II. Proportio quadrati ex diametro cuiuslibet circuli deſcri-
            <lb/>
          pti ad circuli aream maior eſt, quam 14. ad 11. minor autem, quam 284.
            <lb/>
          ad 223. # 195
            <lb/>
            <emph style="sc">Propositio</emph>
          III. Proportio quadrati à circumferentia circuli cuiuſuis
            <lb/>
          deſcripti ad circuli aream maior eſt, quam 892. ad 71. minor autem, quam 88.
            <lb/>
          ad 7. # 196
            <lb/>
          VIII. De area ſegmentorum circuli. # 199
            <lb/>
          I. Data circuliarea, circumferentiam, ac diametrum cognoſcere. # 201
            <lb/>
          II. Dato arcu cuiuſuis circuli, diametrũ circuli in numeris inueſtigare. # 201
            <lb/>
          III. Datis diametris duorum circulorum, vel circumferentiis: Aut duobus
            <lb/>
          lateribus homologis duarum figurarum ſ
            <unsure/>
          imilium, ſimiliter que poſitarum; quam
            <lb/>
          proportionem circuli, vel figuræ inter ſe habeant, cognoſcere. # 201
            <lb/>
          IIII. Datis pluribus circulis, quorum diametri, vel circumferentiæ cognitæ
            <lb/>
          ſint: Item pluribus figuris ſimilibus, ſimiliter que poſitis, quarum latera homo-
            <lb/>
          loga ſint nota; inuenire diametrum, vel circumferentiam, cuius circulus omni-
            <lb/>
          bus circulis propoſitis æqualis ſit: Item latus reperire, cuius figura ſimilis, ſimi-
            <lb/>
          literque poſita, æqualis ſit omnibus propoſitis figuris. # </note>
        </div>
      </text>
    </echo>
Impressum