Skip to main content

Isaac Newton Page 8-9

 [ 8 ]


a lot of when the celebrity manner, if ACBD (in

Fig. three ] reprefent a Glafs ſpherically gibbous on each each (uſually referred to as a Lens, ſuch as could be a could be a, or Spectacle glaſs, or AN Object glaſs of a Teleſcope) and or not it's needed to understand however lightweight falling upon it from any lucid purpose Q

ſhall be refracted, let Q M repreſent a Ray

falling upon any purpose M of its firſt ſpherical




Surface ACB, and by building a Perpendicular

to the Glaſs at the purpose M, notice the firſt re-

fracted Ray M N by the Proportion of the

Sines seventeen to eleven.


Let that Ray in going out of the Glaſs be incident upon N, and so notice

the ſecond refracted Ray weight unit by the Proporti-

on of the Sines eleven to seventeen.


And when the ſame manner might the Refraction be found once the

Lens is gibbous on one ſide and Plane or Con-

cave on the opposite, or bowl-shaped on each each.


A X. VI.


Homogeneal Rays that ensue feveral

Points of any Object, and fall sheer or almoſt sheer on any reflective or refract- ing Plane or ſpherical Surface, ſhall afterward diverge from ſo several alternative Points, or be Parallel to ſo several alternative Lines, or converge to ſo several alternative Points, either accurately or with none with none.


and therefore the and therefore the can happen, if the

Rays be mirrored or refracted ſucceſſively by 2 or 3 or additional Plane or Spherical Surfaces.


the purpose from that Rays diverge or to

which they converge could also be referred to as their Focus.


and therefore the focus of the incident Rays being gi-

ven, that of the mirrored or refracted ones might

be


 [ 9 ]

                  

   be found by finding the Refraction of any two Rays, as above; or more readily thus.

   

  Caf. 1. Let ACB [in Fig. 4.] be a reflecting or

refracting Plane, and the focus of the incident Rays, and Q q C a perpendicular to that Plane.


   And if this perpendicular be produced to 9,

ſo that q C be equal to QC, the point q, fhall

be the focus of the reflected Rays. 


   Or if qC be taken on the ſame ſide of the Plane with QC and in Proportion to a C as the Sine of Incidence to the Sine of Refraction, the point q ſhall be the Focus of the refracted Rays.

   

    Caf.2. Let ACB [in Fig. 5.] be the reflecting

Surface of any Sphere whoſe Center is E. Bi-

ſect any Radius thereof (fuppofe EC) in T,

and if in that Radius on the ſame fide the point T you take the Points Q and q, ſo that TO, TÉ, and T , be continual Proportionals, and the point Q be the focus of the incident Rays, the point q ihall be the Focus of the reflected ones.


 Cal 3. Let ACB [in Fig. 6.] be the refracting

Surface of any Sphere whole Center is E. In

any Radius thereof E C produced both ways

take ET and Ct equal to one another and fe-

verally in ſuch Proportion to that Radius as

the leffer of the Sines of Incidence and Re-

fraction hath to the difference of thoſe Sines.

 

  And then if in the ſame Line you find any two Points Q and q, ſo that TQ be to ET as Et

to t q, taking t q the contrary way from t which TQ lieth from T, and if the Point Q be the Focus of any incident Rays, the Point q ſhall be the Focus of the refracted ones.


                And

                   3

Labels:
Location: United States

Comments

Post a Comment

Popular posts from this blog

Werner Heisenberg Quotes

Only many understand, what quantity one should understand to grasp however toddler is aware of. What we tend to observe isn't nature itself, however nature exposed to our methodology of questioning . Not solely is that the Universe unknown than we expect, it's unknown than we will assume. When I meet God, i'm about to raise him 2 questions: Why theory of relativity ? And why turbulence ? i actually believe he can have a solution for the primary. After the conversations regarding Indian philosophy, a number of the concepts of physical science that had appeared thus crazy suddenly created rather more sense. The reality we will place into words isn't reality itself. The a lot of closely you examine one issue, the less closely are you able to see one thing else. Looking at one thing changes it. Many people can tell you that associate degree knowledgeable is somebody WHO is aware of a good deal regarding the topic. to the present i might object that one will ne'er under...
Post a Comment
Read more

Page 16-17/ Isaac Newton Book

[16] or PROPOSITION S.L PROP. I. THEOR. I. O IGHTS that dissent in color, dissent dissent in Degrees of Refrangibility: The Proof by Experiments. Isaac Newton to Exper. I. I took a black rectangular rectangular Paper terminated by Parallel Sides, and with a Per- pendicular right Line drawn croſs from one Side to the opposite, diftinguiſhed it into 2 e- qual Parts. one amongst one amongst I painted with a red color and also the alternative with a blew. The Paper was terribly black, and also the and also the and thickly ordered on, that the Phænomenon might be may be. This Paper I view'd through a Priſm of folid Glaſs, whoſe two Sides through that the sunshine the sunshine the Eye were plane and well poliſhed, and contained an Angle of concerning fixty degrees : that Angle I decision the refracting Angle of the Prifm. And whilſt I view'd it, I command it and also the and also the a Window in ſuch manner that the perimeters of the Paper were parallel to t...
Post a Comment
Read more

Carl Sagan quotes

 Somewhere, one thing unbelievable is waiting to be celebrated. Carl Sagan quotes For small creatures like we tend to the sizeableness is tolerable solely through love. We're made from star stuff. we tend to square measure some way for the cosmos to understand itself. If you would like to create Associate in Nursing pie from scratch, you want to 1st produce the universe. Science could be a manner of thinking far more than it's a body of information. Imagination can usually carry U.S.A. to worlds that ne'er were. however while not it we tend to go obscurity. Every one people is, within the cosmic perspective, precious. If a personality's disagrees with you, let him live. in an exceedingly hundred billion galaxies, you may not realize another. Science isn't solely compatible with spirituality; it's a profound supply of spirituality. Absence of proof isn't proof of absence. We sleep in a society delicately keen about science and technology, during which hardly ...
Post a Comment
Read more