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Page 7

 [ 7 ]


Circumference in E, and joyning metallic element, this Line metallic element fhall be the road of the refracted Ray.




For if E F be let fall sheer on the

Line PQ, this Line E F fhall be the trigonometric function of Re-

fraction of the Ray metallic element, the Angle of Refraction being ECQ; and this trigonometric function E F is adequate to DH,

and conſequently in Proportion to the trigonometric function of

Incidence AD as three to four.


In like manner, if there be a Priſm of Glaſs

(that could be a could be a with 2 Equal and

Parallel Triangular ends, and 3 plain and

well poliſhed Sides, that meet in 3 Parallel Lines running from the 3 Angles of 1 finish to the 3 Angles of the opposite end) and if the Refraction of the sunshine in pafling croſs this Priſm be deſired: Let ACB [in F'ig. 2.] repreſent a Plane cutting this Priſm tranverfly to its 3 Parallel lines or edges there wherever the sunshine the sunshine it, and let D E be the Ray inci- dent upon the firſt ſide of the Priſm AC wherever the sunshine goes into the Glaſs ; and by swing


the Proportion of the trigonometric function of Incidence to the

Sine of Refraction as seventeen to i realize E F the firſt

refracted Ray. Then taking this Ray for the

Incident Ray upon the ſecond ſide of the Glaſs

BC wherever the sunshine goes out, realize consecutive

refracted Ray FG by swing the Proportion

of the trigonometric function of Incidence to the trigonometric function of Re-

fraction because it to seventeen.


For if the trigonometric function of Inci-

dence out of Air into Glaſs be to the trigonometric function of

Refraction as seventeen to eleven, the trigonometric function of Incidence out of Glaſs into Air muft on the contrary be to the


trigonometric function of Refraction as I to seventeen, by the third

Axiom.

Much

B4

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AXIOMS

 [ 5 ] A X. I. T B E Angles of Reflexion, and Refraction, lie one and additionally the celebrity Plane with the Angle of Incidence. A X. II. The Angle of Reflexion is up to the Angle of Incidence. A X. III. If the Refracted Ray be came back directly back to the aim of Incidence, it fball be re-fracted into the road before defcribed by the in-cident Ray. A X. IV. Refraction out of the rarer Medium into the denfer, is made towards the Perpendicular, that is, of that the Angle of Refraction be lefs than the Angle of Incidence. A X. V. The mathematical function of Incidence is eitber accurately or really nearly terribly} very given relation to the mathematical function of Re-fraction. wherefrom if that Proportion be acknowledged in anybody Inclination of the incident Ray, 'tis acknowledged in all the Inclinations, and thereby the Refra-ction in all cafes of Incidence on the celebrity refra-cting Body may even be determined. therefore if the Refra-