Huygens, Christiaan, Christiani Hugenii opera varia; Bd. 2: Opera geometrica. Opera astronomica. Varia de optica

Table of figures

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[Figure 101]
[Figure 102]
[103] Pag. 520.TAB. XLVI.Fig. 1.D C E A X F K V O I L T α M N
[104] Fig. 3.Δ A Φ G F N E M I D H L B C K O P Q Σ R T V X Y Z S Γ Δ Θ @
[105] Fig. 5.C B A D E
[106] Fig. 4.H C L E B A D F K G
[107] Fig. 6.L G C F M A H B E I D K
[108] Fig. 2.G C H B A Y L X P K V Q I O S R F D E N
[Figure 109]
[Figure 110]
[Figure 111]
[Figure 112]
[113] Pag. 542.Fig. 1.♃
[114] Fig. 2.♃
[115] Fig. 3.♂
[116] Fig. 5.25 Mart. 1655. * a b *
[117] Fig. 7.26 Mart. * a b *
[118] Fig. 4.
[119] Fig. 6.
[120] Pag. 550.TAB. XLV III.Fig. 1.* a * b 27. Mart. 1655.
[121] Fig. 2.a * 3. Apr.
[122] Fig. 3.* a c * 9. Apr.
[123] Fig. 4.* a * c 10. Apr.
[124] Fig. 5.* a c * 11. Apr.
[125] Fig. 6.* a c * 12. Apr.
[126] Fig. 7.* c 13. Apr.
[127] Fig. 8.a * 17. Apr.
[128] Fig. 9.* 19. Apr.
[129] Fig. 10.* 20. Apr.
[130] Fig. 11.* 21. Apr.
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        <div xml:id="echoid-div210" type="section" level="1" n="102">
          <pb o="452" file="0172" n="182" rhead="VERA CIRCULI"/>
          <p>
            <s xml:id="echoid-s3811" xml:space="preserve">Poteſtigitur abſque periculo erroris ſumi ſequens numerus
              <lb/>
            pro hyperbolæ ſectore, cujus numeri multiplices uſque ad
              <lb/>
            decem, diviſionis facilitandæ gratia in compoſitione logorith-
              <lb/>
            morum, hic ſubjicimus; </s>
            <s xml:id="echoid-s3812" xml:space="preserve">in magnis namque diviſionibus præ-
              <lb/>
            ſtat uti repetita diviſoris multiplicium ſubſtractione quam or-
              <lb/>
            dinaria diviſione, ut conſtat expertis arithmeticis.</s>
            <s xml:id="echoid-s3813" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3814" xml:space="preserve">Manifeſtum eſt hoc
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              <note position="right" xlink:label="note-0172-01" xlink:href="note-0172-01a" xml:space="preserve">
                <lb/>
              1 # 23025850929940456240178700
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              2 # 46051701859880912480357400
                <lb/>
              3 # 69077552789821368720536100
                <lb/>
              4 # 92103403719761824960714800
                <lb/>
              5 # 115129254649702281200893500
                <lb/>
              6 # 138155105579642737441072200
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              7 # 161180956509583193681250900
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              8 # 184206807439523649921429600
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              9 # 207232658369464106161608300
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              10 # 230258509299404562401787000
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              </note>
            problema eodem
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            ferè modo poſſe reſol-
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            vi, etiamſi aſymptota
              <lb/>
            A O, A K, non ſint
              <lb/>
            conſtiruta ad angulum
              <lb/>
            rectum: </s>
            <s xml:id="echoid-s3815" xml:space="preserve">nos autem ita
              <lb/>
            fuppoſuimus, ut faci-
              <lb/>
            lior & </s>
            <s xml:id="echoid-s3816" xml:space="preserve">paratior eſſet
              <lb/>
            problematis uſus in doctrina logorithmica, quam primò
              <lb/>
            invenit nobiliſſimus noſter Neperus, & </s>
            <s xml:id="echoid-s3817" xml:space="preserve">quam nos (ni fal-
              <lb/>
            lor) ad ſummum perfectionis faſtigium nunc elevamus.</s>
            <s xml:id="echoid-s3818" xml:space="preserve"/>
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        <div xml:id="echoid-div213" type="section" level="1" n="103">
          <head xml:id="echoid-head142" xml:space="preserve">PROP. XXXIII. PROBLEMA.</head>
          <head xml:id="echoid-head143" style="it" xml:space="preserve">Propoſiti cujuscunque numeri logorithmum invenire.</head>
          <p>
            <s xml:id="echoid-s3819" xml:space="preserve">Eiſdem poſitis quæ in antecedente, manifeſtum eſt, poſita
              <lb/>
              <note position="left" xlink:label="note-0172-02" xlink:href="note-0172-02a" xml:space="preserve">TAB. XLIV.
                <lb/>
              fig. 1.</note>
            I K unitate, M L eſſe decem: </s>
            <s xml:id="echoid-s3820" xml:space="preserve">poſita ergo I K unitate ſit
              <lb/>
            G H aſymptoto quoque A O parallela numerus propoſitus
              <lb/>
            cujus deſideratur logorithmus@ manifeſtum eſt ex data rectà
              <lb/>
            G H dari K F, & </s>
            <s xml:id="echoid-s3821" xml:space="preserve">ex præcedenti dari etiam ſpatium hyper-
              <lb/>
            bolicum G I K H, quod ſpatium hyperbolicum dico eſſe lo-
              <lb/>
            gorithmum numeri propoſiti G H, poſito ſpatio hyperbo-
              <lb/>
            lico L I K M logorithmo numeri denarii: </s>
            <s xml:id="echoid-s3822" xml:space="preserve">eſt enim (ex Gre-
              <lb/>
            gorio à S. </s>
            <s xml:id="echoid-s3823" xml:space="preserve">Vincentio) ſpatium G H K I in eadem ratione ad
              <lb/>
            ſpatium L M K I, in qua ratio G H ad I K eſt multiplicata
              <lb/>
            rationis L M ad I K; </s>
            <s xml:id="echoid-s3824" xml:space="preserve">ſed ratio G H ad I K eſt </s>
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