Barrow, Isaac
,
Lectiones opticae & geometricae : in quibus phaenomenon opticorum genuinae rationes investigantur, ac exponuntur: et generalia curvarum linearum symptomata declarantur
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<
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X.</
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<
s
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<
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">IN poſtrema Lectione quod ſpectavimus punctum circuli convexo
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alluxit; </
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<
s
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xml:space
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">nunc parte@ concavas irradians aliud, at magìs @ π’ π ω,
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contemplabimur. </
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<
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xml:space
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">& </
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<
s
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"
xml:space
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">quidem caſuum præcipuorum diverſitatem im-
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primìs diſtinguemus. </
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<
s
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xml:space
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">Nempe radiet punctum A in circulum re-
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flectentem, cujus centrum C; </
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<
s
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">connexaque recta AC protendatur in-
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definitè; </
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<
s
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<
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<
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<
s
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<
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<
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<
s
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xml:space
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">ſit AN = AC; </
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<
s
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reflexus, puta N _a_, ad AC parallelus.</
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<
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</
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<
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">Fig. 97.</
note
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<
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<
s
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xml:space
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">Hoc è ſuprà generatim oſtenſis conſtat; </
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<
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<
s
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xml:space
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">facilè jam patet, con-
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nexâ CA. </
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<
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">etenim eſt ang. </
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<
s
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">ACN = AN C; </
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<
s
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xml:space
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">ob AC, AN, ex
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Hypotheſi pares; </
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<
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<
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">ang. </
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<
s
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">ANC = _a_ NC, propter reflectionem;
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</
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<
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">adeóque ang. </
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<
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<
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">unde ſunt AC, N _a_ ſibi paralle-
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læ.</
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<
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</
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<
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<
s
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xml:space
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">III. </
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<
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">Incidat radius AM major ipsâ AC; </
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<
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">ejus reflexus (puta
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<
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xlink:label
="
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xml:space
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">Fig. 98.</
note
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M _a_) cum axe directè procedens conveniet ultra centrum, reſpectu
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puncti A; </
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<
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">(hoc eſt centrum C puncto radianti, concurſuique inter-
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jacebit).</
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</
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<
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<
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<
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<
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</
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<
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<
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<
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quare M _a_, CB convenient infra CM ad partes _a_ B; </
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<
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ad K.</
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<
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<
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<
s
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<
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">ejus
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<
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xlink:label
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">Fig. 99.</
note
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reflexus, puta R _a_, axi retrò protractus occurret. </
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<
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">(hoceſt ut radians
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centro, concurſuíque ſit interjectum).</
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</
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<
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<
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<
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<
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<
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<
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<
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</
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<
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<
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<
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<
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<
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<
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D C, _a_ R portractas infra CR concurrere.</
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