Barrow, Isaac
,
Lectiones opticae & geometricae : in quibus phaenomenon opticorum genuinae rationes investigantur, ac exponuntur: et generalia curvarum linearum symptomata declarantur
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ADLK. </
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">item patet _ſegmentum_ ADB unà cum _rectangulo_ ADZR
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majus eſſe _figurâ circumſcriptâ_ (etenim _rectangulum_ ADZR_rectan-_
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_gulis_ RH, PG, OF, NE, MZ æ quatur, proindéque majus eſt _irili-_
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_neis_ AXR, XXP, XXO, XXN, XBM). </
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<
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">ergò _ſegmentum_ ADB
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unà cum _rectangulo_ ADLK multo majus eſt _figurâ circumſcriptâ_;
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<
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">hoc eſt, _ſpatium_ S majus eſt _figurâ circumſcriptâ_, contra _Hypotbeſin._</
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<
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<
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<
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">Item, ſi ponatur _figura inſcripta_ HXGXFXEXZDH minor
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_ſpatio quodam_ S; </
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<
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">dico _ſegmentum_ ADB non eſſe majus quàm S.</
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<
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<
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">Nam ſi majus eſſe velis, eſto rurſum _exceſſus par rectangulo_ ADLK;
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<
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">quod utique (ſicut prius) majus erit _rectangulo_ ADZR. </
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<
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_ſegmentum_ ADB, dempto _rectangulo_ ADZR, minus figurâ inſcriptâ. </
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ergò ſegmentum ADB, dempro rectangulo ADLK, multo minus fit
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inſcriptâ; </
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<
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">hoc eſt _ſpatium_ S minus eſt inſcriptâ figurâ, contra
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_Hypotbeſin._</
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<
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">Hinc, ſi _ſp@tium_ quodcunque fuerit, (puta S) cui circumſcripta
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figura æquetur _ſigurœ_ ADBMNOPRA; </
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<
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">nec non cui _inſcripta figura_
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_æquetur figuræ_ HGFEZDH; </
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<
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">palàm eſt _ſpatium_ iſtud S _ſegmento_
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ADB exæquari.</
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<
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">Nam (utì mox oſtenſum) hoc illo majus eſſe nequit, aut mi-
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nus.</
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<
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">Poterunt autem hæc ad _alios circumſcriptionis ac inſcriptionis modos_
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accomodari. </
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<
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<
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<
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">Fig. 177.</
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punctum C; </
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<
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<
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piam M in curva ſumpto ducatur recta ME curvam tangens, & </
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demittatur CGad ME perpendicularis; </
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<
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CV ad planam DAB recta, & </
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<
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perpendicularis; </
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<
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plano GVG rectam eſſe, adeoque GMeidem recta erit) Porrò ſit
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linea RStalis, ut ductâ rectâ MIX ad AD parallelâ (quæ ſecet </
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