Apollonius <Pergaeus>; Lawson, John, The two books of Apollonius Pergaeus, concerning tangencies, as they have been restored by Franciscus Vieta and Marinus Ghetaldus : with a supplement to which is now added, a second supplement, being Mons. Fermat's Treatise on spherical tangencies

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          <p>
            <s xml:id="echoid-s2874" xml:space="preserve">133. </s>
            <s xml:id="echoid-s2875" xml:space="preserve">V. </s>
            <s xml:id="echoid-s2876" xml:space="preserve">The ſquare of the baſe equal to the rectangle of one ſide and a given line.</s>
            <s xml:id="echoid-s2877" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2878" xml:space="preserve">General Mag. </s>
            <s xml:id="echoid-s2879" xml:space="preserve">qu. </s>
            <s xml:id="echoid-s2880" xml:space="preserve">61.</s>
            <s xml:id="echoid-s2881" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2882" xml:space="preserve">134. </s>
            <s xml:id="echoid-s2883" xml:space="preserve">V. </s>
            <s xml:id="echoid-s2884" xml:space="preserve">P. </s>
            <s xml:id="echoid-s2885" xml:space="preserve">The angle of two lines from extremes of B to middle of P.</s>
            <s xml:id="echoid-s2886" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2887" xml:space="preserve">Mathematician, pr. </s>
            <s xml:id="echoid-s2888" xml:space="preserve">65.</s>
            <s xml:id="echoid-s2889" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2890" xml:space="preserve">135. </s>
            <s xml:id="echoid-s2891" xml:space="preserve">V. </s>
            <s xml:id="echoid-s2892" xml:space="preserve">B. </s>
            <s xml:id="echoid-s2893" xml:space="preserve">The angle of two lines from extremes of B to the middle of P.</s>
            <s xml:id="echoid-s2894" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2895" xml:space="preserve">Brit. </s>
            <s xml:id="echoid-s2896" xml:space="preserve">Oracle, qu. </s>
            <s xml:id="echoid-s2897" xml:space="preserve">91.</s>
            <s xml:id="echoid-s2898" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2899" xml:space="preserve">136. </s>
            <s xml:id="echoid-s2900" xml:space="preserve">V. </s>
            <s xml:id="echoid-s2901" xml:space="preserve">S. </s>
            <s xml:id="echoid-s2902" xml:space="preserve">The ratio of the ſquare of a line, drawn in a given direction from V to B,
              <lb/>
            to the rectangle of the ſegments of B made thereby.</s>
            <s xml:id="echoid-s2903" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2904" xml:space="preserve">Anderſoni Exercitationes Math. </s>
            <s xml:id="echoid-s2905" xml:space="preserve">No. </s>
            <s xml:id="echoid-s2906" xml:space="preserve">8.</s>
            <s xml:id="echoid-s2907" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2908" xml:space="preserve">137. </s>
            <s xml:id="echoid-s2909" xml:space="preserve">V. </s>
            <s xml:id="echoid-s2910" xml:space="preserve">S or s. </s>
            <s xml:id="echoid-s2911" xml:space="preserve">m: </s>
            <s xml:id="echoid-s2912" xml:space="preserve">n, theſe being ſegts. </s>
            <s xml:id="echoid-s2913" xml:space="preserve">by a line from V to B dividing V into
              <lb/>
            given angles.</s>
            <s xml:id="echoid-s2914" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2915" xml:space="preserve">Hutton’s La. </s>
            <s xml:id="echoid-s2916" xml:space="preserve">Diary, qu. </s>
            <s xml:id="echoid-s2917" xml:space="preserve">139.</s>
            <s xml:id="echoid-s2918" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2919" xml:space="preserve">138. </s>
            <s xml:id="echoid-s2920" xml:space="preserve">V. </s>
            <s xml:id="echoid-s2921" xml:space="preserve">A line from V to B dividing V in a given ratio. </s>
            <s xml:id="echoid-s2922" xml:space="preserve">Area a minimum.</s>
            <s xml:id="echoid-s2923" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2924" xml:space="preserve">L. </s>
            <s xml:id="echoid-s2925" xml:space="preserve">Diary, 1761, qu. </s>
            <s xml:id="echoid-s2926" xml:space="preserve">479.</s>
            <s xml:id="echoid-s2927" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2928" xml:space="preserve">139. </s>
            <s xml:id="echoid-s2929" xml:space="preserve">V. </s>
            <s xml:id="echoid-s2930" xml:space="preserve">Line from A biſecting S. </s>
            <s xml:id="echoid-s2931" xml:space="preserve">Line from a biſecting s.</s>
            <s xml:id="echoid-s2932" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2933" xml:space="preserve">*Simpſon’s Sel. </s>
            <s xml:id="echoid-s2934" xml:space="preserve">Ex. </s>
            <s xml:id="echoid-s2935" xml:space="preserve">pr. </s>
            <s xml:id="echoid-s2936" xml:space="preserve">15.</s>
            <s xml:id="echoid-s2937" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2938" xml:space="preserve">140. </s>
            <s xml:id="echoid-s2939" xml:space="preserve">V. </s>
            <s xml:id="echoid-s2940" xml:space="preserve">Per. </s>
            <s xml:id="echoid-s2941" xml:space="preserve">Line parallel to B biſecting the area.</s>
            <s xml:id="echoid-s2942" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2943" xml:space="preserve">*Gent. </s>
            <s xml:id="echoid-s2944" xml:space="preserve">Di. </s>
            <s xml:id="echoid-s2945" xml:space="preserve">1750, qu. </s>
            <s xml:id="echoid-s2946" xml:space="preserve">98. </s>
            <s xml:id="echoid-s2947" xml:space="preserve">- Reducible to V. </s>
            <s xml:id="echoid-s2948" xml:space="preserve">B. </s>
            <s xml:id="echoid-s2949" xml:space="preserve">S + s.</s>
            <s xml:id="echoid-s2950" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2951" xml:space="preserve">141. </s>
            <s xml:id="echoid-s2952" xml:space="preserve">S. </s>
            <s xml:id="echoid-s2953" xml:space="preserve">s. </s>
            <s xml:id="echoid-s2954" xml:space="preserve">Line from V to centre of ins. </s>
            <s xml:id="echoid-s2955" xml:space="preserve">☉(sun).</s>
            <s xml:id="echoid-s2956" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2957" xml:space="preserve">L. </s>
            <s xml:id="echoid-s2958" xml:space="preserve">Diary, 1771, qu. </s>
            <s xml:id="echoid-s2959" xml:space="preserve">635.</s>
            <s xml:id="echoid-s2960" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2961" xml:space="preserve">142. </s>
            <s xml:id="echoid-s2962" xml:space="preserve">Baſe. </s>
            <s xml:id="echoid-s2963" xml:space="preserve">One ſide. </s>
            <s xml:id="echoid-s2964" xml:space="preserve">Ratio of a line from V, making a given angle with ſaid ſide,
              <lb/>
            to alternate part of B.</s>
            <s xml:id="echoid-s2965" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2966" xml:space="preserve">Hutton’s Mis. </s>
            <s xml:id="echoid-s2967" xml:space="preserve">pag. </s>
            <s xml:id="echoid-s2968" xml:space="preserve">63, Cor.</s>
            <s xml:id="echoid-s2969" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2970" xml:space="preserve">143. </s>
            <s xml:id="echoid-s2971" xml:space="preserve">B. </s>
            <s xml:id="echoid-s2972" xml:space="preserve">Point of contact therein of ins. </s>
            <s xml:id="echoid-s2973" xml:space="preserve">☉(sun). </s>
            <s xml:id="echoid-s2974" xml:space="preserve">mxn.</s>
            <s xml:id="echoid-s2975" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2976" xml:space="preserve">Hutton’s L. </s>
            <s xml:id="echoid-s2977" xml:space="preserve">Diaries, 1722, qu. </s>
            <s xml:id="echoid-s2978" xml:space="preserve">94.</s>
            <s xml:id="echoid-s2979" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2980" xml:space="preserve">144. </s>
            <s xml:id="echoid-s2981" xml:space="preserve">L. </s>
            <s xml:id="echoid-s2982" xml:space="preserve">A perpendicular thereto from one of the angles at the baſe. </s>
            <s xml:id="echoid-s2983" xml:space="preserve">The other
              <lb/>
            angle at the baſe.</s>
            <s xml:id="echoid-s2984" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2985" xml:space="preserve">L. </s>
            <s xml:id="echoid-s2986" xml:space="preserve">Diary, 1769, 1770, qu. </s>
            <s xml:id="echoid-s2987" xml:space="preserve">604.</s>
            <s xml:id="echoid-s2988" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2989" xml:space="preserve">145. </s>
            <s xml:id="echoid-s2990" xml:space="preserve">L. </s>
            <s xml:id="echoid-s2991" xml:space="preserve">A perpendicular thereto from A. </s>
            <s xml:id="echoid-s2992" xml:space="preserve">Another from a.</s>
            <s xml:id="echoid-s2993" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2994" xml:space="preserve">L. </s>
            <s xml:id="echoid-s2995" xml:space="preserve">Diary 1768, 1769, qu. </s>
            <s xml:id="echoid-s2996" xml:space="preserve">588.</s>
            <s xml:id="echoid-s2997" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2998" xml:space="preserve">146. </s>
            <s xml:id="echoid-s2999" xml:space="preserve">One of the angles at the baſe. </s>
            <s xml:id="echoid-s3000" xml:space="preserve">Perpendicular therefrom to oppoſite ſide a max-
              <lb/>
            imum. </s>
            <s xml:id="echoid-s3001" xml:space="preserve">A line from the other angle at the baſe biſecting its oppoſite ſide.</s>
            <s xml:id="echoid-s3002" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3003" xml:space="preserve">*L. </s>
            <s xml:id="echoid-s3004" xml:space="preserve">Diary, 1769, 1770, qu. </s>
            <s xml:id="echoid-s3005" xml:space="preserve">607.</s>
            <s xml:id="echoid-s3006" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3007" xml:space="preserve">147. </s>
            <s xml:id="echoid-s3008" xml:space="preserve">S. </s>
            <s xml:id="echoid-s3009" xml:space="preserve">s. </s>
            <s xml:id="echoid-s3010" xml:space="preserve">m: </s>
            <s xml:id="echoid-s3011" xml:space="preserve">n, theſe being ſegts. </s>
            <s xml:id="echoid-s3012" xml:space="preserve">by a line from V to B, and the ratio of this line to
              <lb/>
            m or n.</s>
            <s xml:id="echoid-s3013" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3014" xml:space="preserve">Rudd’s Prac. </s>
            <s xml:id="echoid-s3015" xml:space="preserve">Geom. </s>
            <s xml:id="echoid-s3016" xml:space="preserve">part 2d, qu. </s>
            <s xml:id="echoid-s3017" xml:space="preserve">40.</s>
            <s xml:id="echoid-s3018" xml:space="preserve"/>
          </p>
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