Barrow, Isaac, Lectiones opticae & geometricae : in quibus phaenomenon opticorum genuinae rationes investigantur, ac exponuntur: et generalia curvarum linearum symptomata declarantur

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            <s xml:id="echoid-s73" xml:space="preserve">
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            quædam _Tbeoremata_ derivo, partim ab aliis agnita (quæ
              <lb/>
            methodi gratiâ, & </s>
            <s xml:id="echoid-s74" xml:space="preserve">propter aliorum probationem, meis de-
              <lb/>
            monſtrationibus firmata appono) partim à me obſervata.
              <lb/>
            </s>
            <s xml:id="echoid-s75" xml:space="preserve">deinad ſpecialia progredior, id mihi negotii ſumens, ut
              <lb/>
            _Catoptricæ_, ac _Dioptricæ_ utriuſque, in uſu maximè poſitæ
              <lb/>
            (_planæ ſcilicet & </s>
            <s xml:id="echoid-s76" xml:space="preserve">spbæricæ_) potiſſima pertractem _In_
              <lb/>
            _Catoptrica spbærica_ (ſiquidem plana jam olim verè ſatìs,
              <lb/>
            ac fusè exculta habetur) ejuſmodi _Tbeoremata_ propono,
              <lb/>
            de quibus reflexorum radiorum interſectiones atque limi-
              <lb/>
            tes innoteſcunt; </s>
            <s xml:id="echoid-s77" xml:space="preserve">unáque punctorum tam à longè, quàm è
              <lb/>
            propinquo radiantium imagines, & </s>
            <s xml:id="echoid-s78" xml:space="preserve">apparentes loci deter-
              <lb/>
            minantur; </s>
            <s xml:id="echoid-s79" xml:space="preserve">reſpectu oculi nedum in radiationis axe, ſed
              <lb/>
            extra ipſum ubicunque conſtituti. </s>
            <s xml:id="echoid-s80" xml:space="preserve">quæ certè vel nuſquam
              <lb/>
            (quod ſciam) aut magnâ ex parte perperàm alibi tractata
              <lb/>
            proſtant; </s>
            <s xml:id="echoid-s81" xml:space="preserve">id quod, incidentèr aliorum refutans ſententias,
              <lb/>
            cùm ratiociniis perſpicuis, tum experimentis decretoriis
              <lb/>
            evictum eo. </s>
            <s xml:id="echoid-s82" xml:space="preserve">_Dioptricam_ porrò tam _planam quàm Spbæ_-
              <lb/>
            _ricam_, refractionis noviſſimâ præſtratâ lege vel hypotheſi
              <lb/>
            (quam _illustris Carteſius_ detexit, at plerique, reor, melio-
              <lb/>
            res _Optici_ jam amplexantur; </s>
            <s xml:id="echoid-s83" xml:space="preserve">quam & </s>
            <s xml:id="echoid-s84" xml:space="preserve">propter aſſignatas
              <lb/>
            alicubi rationes veritati conſonam judico) velut à funda-
              <lb/>
            mentis extruo. </s>
            <s xml:id="echoid-s85" xml:space="preserve">nec enim eorum, qui principium illud ad-
              <lb/>
            miſerunt, ipſum hactenus quiſquam (in ſcriptis intelligo
              <lb/>
            quæ viderim luci commendatis) huc applicuit. </s>
            <s xml:id="echoid-s86" xml:space="preserve">Hîc au-
              <lb/>
            tem imprimìs puncta radiantia longè diſſita (ſeu quaſi
              <lb/>
            parallelos emittentia radios) conſiderans, quo pacto ab
              <lb/>
            ipſis proſluentes radii detorquentur exquiro, _Tbeoremata_
              <lb/>
            quædam eliciens, è quibus præcipua _refractorum ſympto_-
              <lb/>
            _mata_ liquent, ipſorum interſectiones ac limites dignoſcun-
              <lb/>
            tur; </s>
            <s xml:id="echoid-s87" xml:space="preserve">apparentia denique punctorum objectorum loca de-
              <lb/>
            ſignantur, tam oculi reſpectu qui in axe, quàm ejus qui
              <lb/>
            uſpiam extra axem collocatur. </s>
            <s xml:id="echoid-s88" xml:space="preserve">tunc eadem attento quoad
              <lb/>
            puncta ſenſibiliter vicina, ſeu divergentibus radiis allu-
              <lb/>
            centia. </s>
            <s xml:id="echoid-s89" xml:space="preserve">ſub extremum, quò paratior ſit horum </s>
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