Opticks : $b or, A treatise of the reflections, refractions, inflections and colours of lightNewton, Isaac
Science
Opticks : $b or, A treatise of the reflections, refractions, inflections and colours of light
Newton, Isaac
Optics -- Early works to 1800
_If the Rays which paint the Colour in the Confine of yellow and orange
pass perpendicularly out of any Medium into Air, the Intervals of their
Fits of easy Reflexion are the 1/89000th part of an Inch. And of the
same length are the Intervals of their Fits of easy Transmission._
This is manifest by the 6th Observation. From these Propositions it is
easy to collect the Intervals of the Fits of easy Reflexion and easy
Transmission of any sort of Rays refracted in any angle into any Medium;
and thence to know, whether the Rays shall be reflected or transmitted
at their subsequent Incidence upon any other pellucid Medium. Which
thing, being useful for understanding the next part of this Book, was
here to be set down. And for the same reason I add the two following
Propositions.
PROP. XIX.
_If any sort of Rays falling on the polite Surface of any pellucid
Medium be reflected back, the Fits of easy Reflexion, which they have at
the point of Reflexion, shall still continue to return; and the Returns
shall be at distances from the point of Reflexion in the arithmetical
progression of the Numbers 2, 4, 6, 8, 10, 12, &c. and between these
Fits the Rays shall be in Fits of easy Transmission._
For since the Fits of easy Reflexion and easy Transmission are of a
returning nature, there is no reason why these Fits, which continued
till the Ray arrived at the reflecting Medium, and there inclined the
Ray to Reflexion, should there cease. And if the Ray at the point of
Reflexion was in a Fit of easy Reflexion, the progression of the
distances of these Fits from that point must begin from 0, and so be of
the Numbers 0, 2, 4, 6, 8, &c. And therefore the progression of the
distances of the intermediate Fits of easy Transmission, reckon'd from
the same point, must be in the progression of the odd Numbers 1, 3, 5,
7, 9, &c. contrary to what happens when the Fits are propagated from
points of Refraction.
PROP. XX.
_The Intervals of the Fits of easy Reflexion and easy Transmission,
propagated from points of Reflexion into any Medium, are equal to the
Intervals of the like Fits, which the same Rays would have, if refracted
into the same Medium in Angles of Refraction equal to their Angles of
Reflexion._
Public-domain text, read in full here on John Shaqi.
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